Network for Biological Invasions and Dispersal Research

Publications (refereed | in review | theses )

Articles in refereed journals

2013

Cobbold, C. and F. Lutscher, Mean occupancy time: linking mechanistic movement models, population dynamics and landscape ecology to population persistence , J. Math. Biol. , (in press) (2013).

Guo, Z.M., F.-B. Wang and X. Zou, Threshold dynamics of an infective disease model with a fixed latent period and non-local infections , J. Math. Biol., 65 (2013), 1387-1410.

Lutscher, F. and M. van Nguyen, Traveling wave dispersal in partially sedentary age-structured populations , Nonlinear Analysis: Real World Applications , 14 (2013), 495-506.

Macfarlane, C.B.A., D. Drolet, M.A. Barbeau, D.J. Hamilton and J. Ollerhead, Dispersal of marine benthic invertebrates through ice rafting , Ecology, (in press) (2013).

Peng, R. and X. Zhao, The Diffusive Logistic Model with A Free Boundary and Seasonal Succession, Discrete and Continuous Dynamical Systems (Ser. A), 33 (2013), 2007-2031.

Xiao, Y. and X. Zou, On latencies in malaria infections and their impact on the disease dynamics , Math. Biosci. and Eng., 10 (2013), 463-481.

Zhang, Y. and X. Zhao, Bistable Travelling Waves for A Reaction and Diffusion Model with Seasonal Succession, Nonlinearity, 26 (2013), 691-709.

2012

Coffin, M., M.A. Barbeau, D.J. Hamilton and D. Drolet, Effect of the mud snail Ilyanassa obsoleta on vital rates of the intertidal amphipod Corophium volutator , Journal of Experimental Marine Biology and Ecology, 418-419 (2012), 12-23.

Drolet, D. and M.A. Barbeau, Population structure of resident, immigrant and swimming Corophium volutator (Amphipoda) on an intertidal mudflat in the Bay of Fundy, Canada , Journal of Sea Research, 70 (2012), 1-13.

Drolet, D., T.T. Bringloe, M. Coffin, M.A. Barbeau and D.J. Hamilton, Potential for between-mudflat movement and metapopulation dynamics in an intertidal burrowing amphipod , Marine Ecology Progress Series, 449 (2012), 197-209.

Guo, Z.M., Z. Yang and X. Zou, Existence and uniqueness of positive solution to a non-local differential equation with homogeneous Dirichlet boundary condition---A non-monotone case , Commun. Pure Appl. Anal., 11 (2012), 1825-1838.

Hsu, S.-B. and X. Zhao, A Lotka-Volterra Competition Model with Seasonal Succession , J. Math. Biol. , 64 (2012), 109-130.

Hu, Q., J. Wu and X. Zou, Global continuation of periodic solutions of differential equations with state-dependent delay , SIAM J. Math. Anal. , 44 (2012), 2401-2427.

Li, X. and X. Zou, On a reaction-diffusion model for sterile insect release method with release on the boundary , Disc. Conti. Dynam. Syst. B , 17 (2012), 2509-2522.

Peng, R. and X. Zhao, A Reaction–Diffusion SIS Epidemic Model in A Time-Periodic Environment, Nonlinearity, 25 (2012), 1451–1471.

Rahman, S.M.A. and Xingfu Zou, Global dynamics of a two-strain disease model with latency and saturating incidence tate , Can. Appl. Math. Quat. , 20 (2012), 51-73.

Usvyatsov, S., J. Picka, R.S. Hardy, T.D. Shepard, J. Watmough, M.K. Litvak and C.T. Marshall, Modeling the timing of spawning and hatching of shortnose sturgeon, Acipenser brevirostrum, in the Saint John River, New Brunswick, Canada , Canadian Journal of Fisheries and Aquatic Sciences , 69 (2012), 1316-1328.

Usvyatsov, S., J. Watmough and M.K. Litvak, Modelling the Effect of Environmental Parameters on the Feeding Ecology of the Shortnose Sturgeon in the Saint John river, NB, Canada , Transactions of the American Fisheries Society , 141 (2012), 238-256.

Usvyatsov, S., J. Watmough and M.K. Litvak, Age and Population Size Estimates of Overwintering Shortnose Sturgeon in the Saint John River, New Brunswick, Canada , Transactions of the American Fisheries Society , 141 (2012), 1126-1136.

Vaidya, N.K., F.-B. Wang, X. Zou and L. Wahl, Transmission dynamics of the recently-identified BYD virus causing duck egg-drop syndrome , PLoS ONE, 7 (2012), e35161.

Vaidya, N.K. and F.-B. Wang, Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment , Disc. Conti. Dynam Syst. B, 17 (2012), 2829-2848.

Wang, W. and X.-Q. Zhao, Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models , SIAM J. Appl. Dyn. Syst., 11 (2012), 1652-1673.

Wang, Z. and X. Zhao, Global Dynamics of A Time-Delayed Dengue Transmission Model , Canadian Appl. Math. Quarterly, 20 (2012), 89-113.

Zhang, Y. and X. Zhao, Bistable Travelling Waves in Competitive Recursion Systems, J. Differential Equations, 252 (2012), 2630-2647.

Zhao, X.-Q. , Global Dynamics of A Reaction and Diffusion Model for Lyme Disease , J. Math. Biology, 65 (2012), 787-808.

2011

Drolet, D. and M.A. Barbeau, Movement patterns drive within-mudflat distribution of an intertidal amphipod , Marine Ecology Progress Series, 431 (2011), 255-265.

Fang, J. and X. Zhao, Monotone Wavefronts of the Nonlocal Fisher-KPP Equation, , Nonlinearity, 24 (2011), 3043–3054.

Gourley, Stephen and Xingfu Zou, A mathematical model for the control and eradication of a wood boring beetle infestation , SIAM Rev., 53 (2011), [Republication of  SIAM J. Appl. Math., 68(2008), 1665-1687, as SIGET paper].

Hsu, S.-B., F.-B. Wang and X.-Q. Zhao, Dynamics of A Periodically Pulsed Bio-reactor Model with A Hydraulic Storage Zone , J. Dynamics and Differential Equations, 23 (2011), 817-842.

Jin, Y. and M. Lewis, Seasonal influences on population spread and persistence in streams: Spreading speeds , Journal of Mathematical Biology, (2011), .

Jin, Y. and M. Lewis, Seasonal influences on population spread and persistence in streams: Critical domain size , SIAM J. Appl. Math., 71 (2011), 1241-1262.

Kanary, L., A. Locke, J. Watmough, J. Chassé, D. Bourque and A. Nadeau, Predicting larval dispersal of the vase tunicate Ciona intestinalis in a Prince Edward Island estuary using a matrix population model , Aquatic Invasions , 6 (2011), 491-506.

Le, T. M. , M. van Nguyen and F. Lutscher, Traveling wave dispersal in partially sedentary age-structured populations , Acta Mathematica Vietnamica , 36 (2011), 319-330.

Liu, X. and X.-Q. Zhao, A Periodic Epidemic Model with Age Structure in A Patchy Environment , SIAM J. Appl. Math., 71 (2011), 1896–1917.

Lou, Y. and X. Zhao, A Reaction-Diffusion Malaria Model with Incubation Period in The Vector Population , J. Math. Biol. , 62 (2011), 543-568.

Lou, Y. and X. Zhao, Modeling Malaria Control by Introduction of Larvivorous Fish , Bull. Math. Biology , 73 (2011), 2384-2407.

Macfarlane, C.B., D. Drolet, M.A. Barbeau, D.J. Hamilton and J. Ollerhead, Movement of drift ice as a vector for transport of sediment and invertebrates on intertidal mudflats of the Bay of Fundy, Proceedings of the 16th Workshop on River Ice, Winnipeg, Manitoba, September 18-22, (2011), 238-248.

McKenzie, H.W., Y. Jin, J.T. Jacobsen and M. Lewis, R0 analysis of a spatiotemporal model for a stream population , SIAM J. on Applied Dynamical Systems, (in press) (2011), .

Rahman, S.M.A. and Xingfu Zou, Flu epidmics: A two strain flu model with a single vaccination , Journal of Biological Dynamics , 5 (2011), 376-390.

Seo, G. and F. Lutscher, The effect of temporal variability on persistence conditions in rivers , Bull. Math. Biol , 283 (2011), 53-59.

Seo, G. and F. Lutscher, Spread Rates under Temporal Variability: Calculation and Application to Biological Invasions , Math Meth Mod Appl Sci , (in press) (2011), .

Wang, W. and X.-Q. Zhao, A Nonlocal and Time-delayed Reaction-Diffusion Model of Dengue Transmission , J. SIAM J. Appl. Math., 71 (2011), 147-168.

Weng, P. and X. Zhao, Spatial dynamics of a nonlocal and delayed population model in a periodic habitat , Discrete and Continuous Dynamical Systems, 29 (2011), 343-366.

Yi, T and Xingfu Zou, Global dynamics of a delay differential equation with spatial non-locality in an unbounded domain , J. Diff. Eqns. , 251 (2011), 2598-2611.

2010

Fang, J., J. Wei and X. Zhao, Spreading Speeds and Traveling Waves for Non-monotone Time-delayed Lattice Equations , Proceedings of the Royal Society A, 466 (2010), 1919-1934.

Fang, J. and X. Zhao, Existence and Uniqueness of Traveling Waves for Non-monotone Integral Equations With in Applications , J. Differential Equations, 248 (2010), 2199-2226.

Kanary, L., A. Locke and J. Watmough, Evaluating the effectiveness of SCUBA-based visual searches for an invasive tunicate, Ciona intestinalis, in a Prince Edward Island estuary , Aquatic Invasions , 5 (2010), 41-47 .

Liang, X. and X. Zhao, Spreading speeds and traveling waves for abstract monostable evolution systems, Journal of Functional Analysis, 259 (2010), 857–903.

Liu, L., X. Zhao and Y. Zhou, A Tuberculosis Model with Seasonality , Bulletin of Math. Biology, 72 (2010), 931-952.

Lou, Y. and X. Zhao, Periodic Ross-Macdonald Model With Diffusion and Advection , Applicable Analysis , 89 (2010), 1067-1089.

Lou, Y. and X. Zhao, A Climate-Based Malaria Transmission Model with Structured Vector Population , SIAM J. Appl. Math. , 70 (2010), 2023-2044.

Mei, M., C. Ou and X.-Q. Zhao, Global Stability of Monostable Traveling Waves For Nonlocal Time-Delayed Reaction-Diffusion Equations , SIAM J. Math. Anal., 42 (2010), 2762-2790.

Weinberger, Hans F. and X. Zhao, An Extension of The Formula for Spreading Speeds, Math. Biosci. Eng., 7 (2010), 187–194.

Weng, P. , C. Xiao and X. Zou, Rich dynamics in a non-local population model over three patches , Nonlinear Dynamics, 59 (2010), 161-172.

Yi, T and Xingfu Zou, Map dynamics versus dynamics of associated delay R-D equation with Neumann boundary condition , Proc. Royal. Soc. London, A. , 466 (2010), 2955-2973.

2009

Dewhirst, S. and F. Lutscher, Dispersal in heterogeneous habitats: thresholds, spatial scales, and approximate rates of spread , Ecology , (2009).

Drolet, D. and M.A. Barbeau, Differential emigration causes aggregation of the amphipod Corophium volutator (Pallas) in tide pools on mudflats of the upper Bay of Fundy, Canada. , Journal of Experimental Biology and Ecology, 370 (2009), 41-47.

Fang, J. and X. Zhao, Monotone Wavefronts for Partially Degenerate Reaction-Diffusion Systems, J Dyn Diff Equat, 21 (2009), 663–680.

Hamelin, F. and Mark Lewis, A differential game theoretical analysis of mechanistic models for territoriality , Journal of Mathematical Biology, (in press) (2009), .

Jerde, C.L., C. Bampfylde and Mark Lewis, Chance establishment for sexual, semelparous species: Overcoming the Allee effect , American Naturalist, (2009), .

Jin, Yu and X. Zhao, Spatial Dynamics of A Periodic Population Model with Dispersal , Nonlinearity, 22 (2009), 1167-1189.

Jin, Yu and X. Zhao, Spatial Dynamics of A Discrete-Time Population Model in A Periodic Lattice Habitat, , J. Dynamics and Differential Equations, 21 (2009), 501-525.

Jin, Yu and X. Zhao, Spatial Dynamics of A Non-local Periodic Reaction-Diffusion Model with Stage Structure , SIAM J. Math. Anal., 40 (2009), 2496-2516.

Keller, R., Mark Lewis, D.M. Lodge, J.F. Shogren and M. Krkoŝek, Putting bioeconomic research into practice , In Bioeconomics of Invasive Species: Integrating ecology, economics, policy and management. Editors: R. Keller, D.M. Lodge, M. A. Lewis and J. F. Shogren. Oxford University Press. Oxford. , (2009), .

Krkoŝek, M. and Mark Lewis, An R₀ theory for source-sink dynamics with applications to Dreissena competition , Theoretical Ecology, (2009), .

Krkoŝek, M., A. Morton, J.P. Volpe and Mark Lewis, Sea lice and salmon population dynamics: Getting exposure time right for migratory fish , Proceedings of the Royal Society of London B, (2009), .

Lauzon-Guay, J.-S., R.E. Scheibling and M.A. Barbeau, Modelling alternations between community states in a rocky subtidal community , Marine Ecology Progress Series, 375 (2009), 25–39.

Li, Jing and Xingfu Zou, Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain , Bull. Math. Biol., 71 (2009), 2048-2079.

Li, Jing and Xingfu Zou, Generalization of the Kermack-McKendrick SIR model to patch environment for a disease with latency , Mathematical Modelling of Natural Phenomena, 4 (2009), 92-118.

Ma, M., C. Ou and X.-Q. Zhao, Persistence of Periodic Patterns for Perturbed Biological Oscillators , J. Differential Equations, 247 (2009), 2597-2619.

Marleau, J.N., Y. Jin, J. Bishop, W.F. Fagan and Mark Lewis, A Stoichiometric model of early plant primary succession on Mount St. Helens , American Naturalist, 177 (2009), 233-245.

Strohm, S. and R. Tyson, The Effect of Habitat Fragmentation on Cyclic Population Dynamics: A Theoretical Study , Bulletin of Mathematical Biology, 71 (2009), 1323-1348.

Tyson, R., S. Haines and K.E. Hodges, Modelling the Canada Lynx and Snowshoe Hare Population Cycle: The Role of Specialist Predators , Theoretical Ecology, (2009).

White, M. and X. Zhao, Threshold Dynamics in A Time Delayed Epidemic Model With Dispersal , Math. Biosci., 218 (2009), 121-129.

White, M. and X. Zhao, A Periodic Droop Model for Two Species Competition in A Chemostat , Bulletin of Math. Biology, 71 (2009), 145-161.

You, Y. and X. Zhao, Threshold Dynamics in A Time-Delayed Periodic SIS Epidemic Model , Discrete and Continuous Dynamical Systems (Ser. B) , 12 (2009), 169-186.

de Camino-Beck, T., Mark Lewis and Pauline van den Driessche, A Graph-theoretic method for the basic reproduction number in continuous time epidemiological models. , Journal of Mathematical Biology, (2009), .

de Camino-Beck, T. and Mark Lewis, Invasion with stage-structured coupled map lattices: Application to the spread of scentless chamomile , Ecological Modelling, (in press) (2009), .

2008

Bampfylde, C.J., A.M. Bobeldyk, J. Murray, K.L.S. Drury, R. Keller and C. McIntosh, A case study on rusty crayfish: Interactions between empiricists and theoreticians. In Keller R.P., Lodge D.M., Lewis M.A. and Shogren, J.F. (eds.), , Bioeconomics of invasive species: Integrating ecology, economics, policy and management. Oxford University Press. , (2008).

Boiteau, G., J. Picka and J. Watmough, Potato Field Colonization by Low Density Populations of Colorado Potato Beetle as a Function of Crop Rotation Distance. , Journal of Economic Entomology , 101 (2008).

Fang, J., J. Wei and X. Zhao, Spatial Dynamics of A Nonlocal and Time-delayed Reaction-diffusion System , J. Differential Equations, 245 (2008), 2749-2770.

Hsu, S.-B. and X. Zhao, Spreading Speeds and Traveling Waves for Non-monotone Integrodifference Equations , SIAM J. Math. Anal. , 40 (2008), 776-789.

Huang, Yu and Xingfu Zou, Dynamics in Numerics: on a discrete predator-prey model , Dynamical Systems and Differential Equations , accepted (2008).

Jin, Yu and X. Zhao, Bistable Waves for A Class of Cooperative Reaction-Diffusion Systems , Journal of Biological Dynamics, 2 (2008), 196-207.

Krkoŝek, M., J.S. Ford, A. Morton, S. Lele and M.A. Lewis, Sea lice and pink salmon declines: Response to Brooks and Jones , Reviews in Fisheries Science, 16 (2008), 413-420.

Krkoŝek, M., J.S. Ford, A. Morton, S. Lele and M.A. Lewis, Response to comment on "Declining wild salmon populations in relation to parasites from farm salmon" , Science, accepted (2008).

Krkoŝek, M., J.S. Ford, A. Morton, S. Lele, R.A. Myers and M.A. Lewis, Declining wild salmon populations in relation to parasites from farm salmon. , Science , 318 (2008), 1772.

Lauzon-Guay, J.-S., R.E. Scheibling and M.A. Barbeau, Formation and propagation of feeding fronts in benthic marine invertebrates: a modeling approach , Ecology, 89 (2008), 3150–3162.

Lutscher, F and S Petrovskii, The importance of census times in discrete-time growth-dispersal models , J. Biol. Dynamcs , 2 (2008), 55-63.

Lutscher, F , Density-dependent dispersal in integrodifference equations , J. Math. Biol. , 54 (2008), 499-524.

Ma, S. and X. Zhao, Global Asymptotic Stability of Minimal Fronts in Monostable Lattice Equations , Discrete and Continuous Dynamical Systems (Ser. A) , 21 (2008), 259-275.

Morton, A., R. Routledge and M. Krkoŝek, Sea lice infestation of juvenile salmon and herring associated with fish farms off the east central coast of British Columbia. , North American Journal of Fisheries Management. , 28 (2008), 523-532.

Wang, W. and X. Zhao, Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments , J. Dynamics and Differential Equations, 20 (2008), 699-717.

Yi, Taishan and Xingfu Zou, Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case , Journal of Differential Equations, 245 (2008), 3376-3388.

Yuan, Zhaohui and Xingfu Zou, Co-invasion waves in a reaction diffusion model for competing pioneer and climax species, Nonlinear Analysis Series B: Real World Applications, accepted (2008).

Zhang, F. and X. Zhao, Spreading speed and travelling waves for a spatially discrete SIS epidemic model, Nonlinearity , 21 (2008), 97-112.

Zhao, X., Permanence Implies The Existence of Interior Periodic Solutions for FDEs , Qualitative Theory of Differential Equations and Applications, 2 (2008), 125-137.

de Camino-Beck, T. and Mark Lewis, On net reproductive rate and the timing of reproductive output , American Naturalist, 172 (2008), 128-139.

2007

Nyquist, B. , R. Tyson and K. Larsen, Modelling Recolonization of Second-Growth Forest Stands by the North American red squirrel Tamiasciurus hudsonicus, Bull. Math. Biol., in press (2007).

Bampfylde, C. and M.A. Lewis, Biological control through intraguild predation: Case studies in pest control, invasive species and range expansion , Bulletin of Mathematical Biology , 69 (2007), 1031-1066.

Drolet, D. and M.A. Barbeau, Immersion in neutral red solution as a mass-marking technique to study the movement of the amphipod Corophium volutator, Journal of Crustacean Biology, in press (2007).

Huang, Yu and Xingfu Zou, Impact of dispersion on dynamics of a discrete metapopulation model , Open System and Information Dynamics in Physics and Life Sciences , 14 (2007), 379-396.

Klepac, Petra, Michael Neubert and Pauline van den Driessche, Dispersal delays and the paradox of enrichment. , Theor. Pop. Biol., 71 (2007), 436-444.

Krkoŝek, M., A. Gottesfeld, B. Proctor, D. Rolston, C. Carr-Harris and M.A. Lewis, Effects of host migration, diversity, and aquaculture on disease threats to wild fish populations , Proceedings of the Royal Society of London, Series B , doi:10.1098/rspb.2007.1122 (2007).

Krkoŝek, M., J.S. Lauzon-Guay and M.A. Lewis, Relating dispersal and range expansion of California sea otters , Theoretical Population Biology , 71 (2007), 401-407.

Krkoŝek, M., Ecology and policy of sea lice and salmon in Pacific Canada , Frontiers in Ecology and the Environment , accepted (2007).

Liang, X. and X. Zhao, Asymptotic speeds of spread and traveling waves for monotone semiflows with applicaitons, Communications on Pure and Appl. Math., 60 (2007), 1-40.

Lutscher, F , A short note on short dispersal events , Bull. Math. Biol. , 69 (2007), 1615-1630.

Lutscher, F. , E. McCauley and M. A. Lewis, Spatial Patterns and Coexistence Mechanisms in Systems with unidirectional flow , Theor. Pop. Biol. , 71 (2007), 267-277.

Montgomery, P. J. and B Burkholder, A coupled differential equation model for forest growth and mountain pine beetle infestation , Int. J. Pure and Appl. Math , accepted (2007).

Newton, K.D., R. Tyson, H. Thistlewood and G. Judd, A Simulation Study of Wild and Sterile Codling Moth (Cydia pomonella) Behaviour in an Apple Orchard with Pheromone Traps, (2007).

Ou, C. and J. Wu, Spatial spread of rabies revisited: influence of age-dependent diffusion on nonlinear dynamics , SIAM J. Appl. Math., 67 (2007), 138-164.

Ou, C. and J. Wu, Persistence of wavefronts in delayed non-local reaction diffusion equations , J. Differential Equations, 235 (2007), 219-261.

Peterson, D.P., K.D. Fausch, J. Watmough and R.A. Cunjak, Facilitating persistence of inland cutthroat trout in streams through selective electrofishing removal of nonnative brook trout, accepted (2007).

Vaidyn, N. and J. Wu, Modeling Spruce Budworm Population Revisited: Impact of Physiological Structure on Outbreak Control , Bulletin of Mathematical Biology, accepted (2007).

Wong, M.C., L.D. Wright and M.A. Barbeau, Substrate selection of juvenile sea scallops (Placopecten magellanicus), sea stars (Asterias vulgaris), and rock crabs (Cancer irroratus), Journal of Shellfish Research, in press (2007).

Xianhua, Tang and Xingfu Zou, 3/2 type conditions for global attractivity in a delayed predator-prey system , Proc. Edinb. Math. Soc. , 51 (2007), 495-508.

Zhang, F. and X. Zhao, Asymptotic Behavior of A Reaction-Diffusion Model With A Quiescent Stage , Proc. Roy. Soc. A , 463 (2007), 1029-1043.

Zhang, F. and X. Zhao, A periodic epidemic model in a patchy environment, J. Math. Anal. Appl., 325 (2007), 496-516.

Zhang, F. and X. Zhao, Global Dynamics of a Nonautonomous Predator-Prey System with Dispersion , Dynamics of Continuous, Discrete and Impulse Systems(Ser. A) , 14 (2007), 81-87.

Zhao, X., Permanence Implies The Existence of Interior Periodic Solutions for FDEs , Qualitative Theory of Differential Equations and Applications , accepted (2007).

de Camino Beck, T. and M.A. Lewis, A new method for calculating net reproductive value from graph reduction with applications to the control of invasive species , Bulletin of Mathematical Biology, 69 (2007), 1341-1354.

de Camino Beck, T. and M.A. Lewis, Net reproductive rate, generation time and persistence in structured populations. , American Naturalist , (2007).

2006

Ma, Shiwang , Peixuen Weng and Xingfu Zou, Asymptotic speed of propagation and traveling wavefronts in a non-local delayed lattice differential equation, Nonl. Anal. TMA, 65 (2006), 1858-1890.

Dai, B and Xingfu Zou, Permanence for a class of nonlinear difference systems, Discrete Dynamics In Nature and Society, 2006 (2006), 1-10.

Hildebrando, R.M., C. Ou and J. Wu, A partial differential equation with delayed diffusion, Dynamics of Discrete, Continuous and Impulsive Systems, Series A, in press (2006).

Huang, J. and Xingfu Zou, Traveling wave solutions in delayed reaction diffusion systems with partial monotonicity, Acta Mathematicae Applicatae Sinica, 22 (2006), 243-256 .

Hurford, A., M. Hebblewhite and M.A. Lewis, A spatially-explicit model for the Allee effect: Why wolves recolonize so slowly in Greater Yellowstone, Theor. Pop. Biol, 70 (2006), 244-254.

Krkoŝek, M., M.A. Lewis, A. Morton, L.N. Frazer and J.P. Volpe, Epizootics of wild fish induced by farm fish , Proceedings of the National Academy of Sciences , 103 (2006), 15506-15510.

Krkoŝek, M., M.A. Lewis, J.P. Volpe and A. Morton, Fish farms and sea lice infestations of wild juvenile salmon in the Broughton Archipelago - A rebuttal to Brooks , Reviews in Fisheries Science , 14 (2006), 1-11.

Lauzon-Guay, J-S., M.A. Barbeau, J. Watmough and D.J. Hamilton, A model for growth and survival of mussels, Mytilus edulis, reared in Prince Edward Island, Canada, Marine Ecology Progress Series, 323 (2006), 171-183.

Lauzon-Guay, J.-S., R.E. Scheibling and M.A. Barbeau, Movement patterns in the green sea urchin, (Strongylocentrotus droebachiensis), Journal of the Marine Biological Association of UK, 86 (2006), 167-174.

Lewis, Mark, J Renclawowicz, Pauline van den Driessche and M Wonham, A comparison of continuous and discrete-time West Nile virus models. , Bull. Math. Biol., 68 (2006), 491-509.

Lewis, Mark, J Renclawowicz and Pauline van den Driessche, Traveling waves and spread rates for a West Nile virus model , Bull. Math. Biol., 68 (2006), 3-23.

Liang, X. , Y. Yi and X. Zhao, Spreading speed and traveling waves for periodic evolution systems, J. Differential Equations, 231 (2006), 57-77.

Lutscher, F. , M. A. Lewis and E. McCauley, The effects of heterogeneity on invasion and persistence in rivers , Bull. Math. Biol , 68 (2006), 2129-2160.

Salmani, M. and P. van den Driessche, A model for disease transmission in a patchy environment, Discrete and Continuous Dynamical Systems-B, 6 (2006), 185-202.

Tang, X. H. and Xingfu Zou, On positive periodic solutions of Lotka-Volterra com petition systems with deviating arguments, Proc. Amer. Math. Soc., 134 (2006), 2967-2974 .

Tang, X. H. and Xingfu Zou, Global attractivity of positive periodic solution t o periodic Lotka-Volterra competition systems with pure delay, J. Differential Equtions, 228 (2006), 580-610 .

Wang, Q. and X. Zhao, Spreading speed and travelling waves for the diffusive logistic equation with a sedentary compartment, Dynamics of continuous, discrete and impulse systems (Ser. A), 13 (2006), 231-246.

Wang, W. and X. Zhao, An epidemic model with population dispersal and infection period, SIAM J. Appl. Math, 66 (2006), 1454-1472.

Wei, J. and Xingfu Zou, Bifurcation analysis of a population model and the resulting SIS epidemic model with delay, J Comp. Appl. Math, 197 (2006), 169-187 .

Weng, P. and X. Zhao, Spreading speed and traveling waves for a multi-type SIS epidemic model, J. Differential Equations, 229 (2006), 270-296.

Wong, M.C., M.A. Barbeau, M. Dowd and K.R. Richard, Behavioural mechanisms underlying the functional response of sea stars (Asterias vulgaris) preying on juvenile sea scallops (Placopecten magellanicus), Marine Ecology Progress Series, 317 (2006), 75-86.

Wonham, M , Mark Lewis, J Renclawowicz and Pauline van den Driessche, Transmission assumptions generate conflicting predictions in host-vector disease models: a case study in West Nile virus. , Ecology Letters, 9 (2006), 706-725.

Zhao, X. and D. Xiao, The asymptotic speed of spread and traveling waves for a vector disease model, J. Dynamics and Differential Equations, 18 (2006), 1001-1019.

2005

Krkoŝek, M., M.A. Lewis and J.P. Volpe, Fish farms, sea lice, and infestations of wild salmonids , Proc. Roy. Soc. Lond. B, 272 (2005), 689-696.

Krkoŝek, M., A. Morton and J.P. Volpe, Non-lethal assessment of juvenile Pacific salmon forparasitic sea lice infections and fish health , Transactions of the American Fisheries Society , 134 (2005), 711-716.

Lutscher, F. , E. Pachepsky and M. A. Lewis, The effect of dispersal patterns on stream populations , SIAM Appl. Math. , 65 (2005), 1305-1327.

Ma, Shiwang and Xingfu Zou, Propagation and Its Failure in A Lattice Delayed Differential Equation with Global Interaction, J. Differential Equations, 212 (2005), 129-190.

Ma, Shiwang and Xingfu Zou, Existence, uniqueness and stability of traveling waves in a discrete reaction-diffusion monostable equation with delay, J. Differential Equations, 217 (2005), 54-87.

Ou, C. and J. Wu, Existence and uniqueness of a wavefront in a delayed hyperbolic parabolic model, Nonlinear Analysis: Special Series on Hybrid Systems and Applications, 63 (2005), 364-387.

Pielaat, A., M.A. Lewis, S. Lele and T. de Camino-Beck, Sequential sampling designs for catching the tail of dispersal kernels. , Ecological Modeling, 190 (2005), 205-222.

Wang, W. and X. Zhao, An age-structured epidemic model in a patchy environment, SIAM J. Appl. Math, 65 (2005), 1597-1614.

2004

Wonham, M , T. de Camino-Beck and Mark Lewis, An epidemiological model for West Nile Virus: Invasion analysis and control applications , Proceedings of the Royal Society of London B, 271 (2004), 501-507.

de Camino-Beck, T., A.S. McClay and M.A. Lewis, Spatially explicit models for weed-biocontrol agent interactions: scentless chamomile as a case study, in Cullen, J.M. (Ed.) Proceedings of the XI International Symposium on Biological Control of Weeds, April 27 - May 2, 2003, Canberra, Australia. CSIRO 2003 , (2004).

Articles in review

Bampfylde, C.J., A.M. Bobeldyk and J. Murray, Interactions between empiricists and theoreticians: A meta-analysis of freshwater invasive species research. , (submitted to Frontiers in Ecology and the Environment )

Drolet, D. and M.A. Barbeau, Mechanisms underlying the formation of spatial patterns in relation to tide pools in the amphipod Corophium volutator in intertidal soft-sediment environments , (submitted to Marine Ecology Progress Series )

Drolet, D. and M.A. Barbeau, Diurnal and semi-lunar cycles in the swimming activity of the intertidal, benthic amphipod Corophium volutator in the upper Bay of Fundy, Canada. , (submitted to Journal of Crustacean Biology)

Kuzyk, G.W., N.L. Cool, E.W. Bork, C.J. Bampfylde, E.H. Merrill and R.J. Hudson, A forage allocation model for an ungulate guild in a fenced park in western Canada , (submitted to Conservation Biology )

Lauzon-Guay, Jean-Sebastien, R.E. Scheibling and M.A. Barbeau, Modelling alternations between community states in a rocky subtidal community , (submitted to Oikos)

Lauzon-Guay, Jean-Sebastien, R.E. Scheibling and M.A. Barbeau, Formation and propagation of feeding fronts in benthic marine invertebrates: a modeling approach using kinesis , (submitted to Ecology)

Li, Jing , Weijiu Liu and Xingfu Zou, Exponential stability of travelling wavefronts in a non-local delayed reaction diffusion model for single species population with age structure,

Peacock, S., H. Ford, M. Krkoŝek, M.A. Lewis and J.P. Volpe, Deviant school behaviour of lousy juvenile chum salmon. , (submitted to Canadian Journal of Fisheries and Aquatic Sciences )

Tyson, R., H. Thistlewood and G. Judd, Modelling dispersal of sterile male codling moths Cydia pomonella, across orchard boundaries,

Theses

Coffin, M., (2010), Complex interactions between the mud snail Ilyanassa obsoleta and the amphipod Corophium volutator on intertidal mudflats. , MSc thesis, University of New Brunswick

Drolet, D., (2009), Distribution and movement of the intertidal amphipod Corophium volutator in the upper Bay of Fundy , PhD thesis, University of New Brunswick

Hurford, Amy, (2005), Wolf movement within and beyond the territory boundary, MSc thesis, University of Alberta

Jin, Yu, (2008), Evolution Dynamics of Biological Systems with Spatial and Temporal Heterogeneities , PhD thesis, Memorial University Newfoundland

Lauzon-Guay, Jean-Sebastien, (2007), Spatial Dynamics of Feeding Fronts of Sea Urchins (Strongylocentrotus droebachiensis) , PhD thesis, University of New Brunswick

Lauzon-Guay, Jean-Sebastien, (2004), Dynamics of cultivated populations of blue mussels (Mytilus edulis) in Prince Edward Island, PEI, MSc thesis, University of New Brunswick

Li, J., (2009), Modeling Dynamics of Infectious Diseases , PhD thesis, University of Western Ontario

Magpantay, F., (2009), Wave front in neuronal fields with nonlocal post-synaptic axonal connections and delayed nonlocal feedback connections , MSc thesis, University of Western Ontario

Musgrave, Jeff, (2008), An application of an integrodifference equation to developing an EAB spread model, MSc thesis, University of New Brunswick

Teng, X., (2006), Model of the emergence and spread of a new influenza virus, MSc thesis, University of New Brunswick

Wang, Zhen, (2012), Global Dynamics of Two Epidemic Models, PhD thesis, Memorial University of Newfoundland

White, M., (2008), Global Dynamics in A Chemostat and An Epidemic Model , MSc thesis, Memorial University Newfoundland

Wong, Melisa, (2004), Predation and its underlying behavioural mechanisms in a marine benthic invertebrate system, PhD thesis, University of New Brunswick

Xiao, Yanyu, (2011), Study of malaria dynamics by mathematical models, PhD thesis, University of Western Ontario

Xu, Dashun, (2004), Asymptotic behavior and traveling waves for some population models, PhD thesis, Memorial University of Newfoundland

Xu, Jin, (2011), Modeling virus dynamics of multiple strains, PhD thesis, University of Western Ontario

Zhang, F., (2006), Global dynamics of some spatially heterogeneous population models, PhD thesis, Memorial University of Newfoundland

Zhang, Yuxiang, (2013), Global Dynamics of Some Population Models with Spatial Dispersal, PhD thesis, Memorial University of Newfoundland

d'Entremont, Justine, (2005), Impacts of multiple predators in marine benthic invertebrate systems, MSc thesis, University of New Brunswick

de Camino Beck, Tomas, (2006), Theoretical considerations for biocontrol: A case study with Scentless Chamomile, PhD thesis, University of Alberta