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Journal Publications:

  1. Hethcote, H.W., Lewis, M.A., van den Driessche, P.: An epidemiological model with a delay and nonlinear incidence rate, J. Math. Biol. 27:49-64 (1989).
  2. Grindrod, P., Lewis, M.A., Murray, J.D.: A geometrical approach to wave-type solutions of excitable reaction-diffusion systems, Proc. R. Soc. Lond., A433:151-164 (1991).
  3. Lewis, M.A., Grindrod, P.: One-way blocks in cardiac tissue: A mechanism for propagation failure in Purkinje fibres, Bull. Math. Biol., 53:881-899 (1991).
  4. Lewis, M.A., Murray, J.D.: Analysis of stable two-dimensional patterns in contractile cytogel, J. Nonlin. Sci. 3:289-311 (1991).
  5. Lewis, M.A., Murray, J.D.: Analysis of dynamic and stationary pattern formation in the cell cortex, J. Math. Biol. 31:25-71 (1992).
  6. Lewis, M.A., Kareiva, P.: Allee dynamics and the spread of invading organisms, Theor. Pop. Biol. 43:141-158 (1993).
  7. Lewis, M.A., van den Driessche, P.: Waves of extinction from sterile insect release, Math. Biosci. 116:221-247 (1993).
  8. Lewis, M.A, Murray, J.D.: Modelling territoriality and wolf-deer interactions, Nature 366:738-400 (1993).
  9. Sneyd, J., Atri, A., Ferguson, M.W.J., Lewis, M.A., Seward, W., Murray, J.D.: A model for the spatial patterning of teeth primordia in the Alligator: Initiation of the dental determinant, J. Theor. Biol. 165:633-658 (1993).
  10. Holmes, E.E., Lewis, M.A., Banks, J.E. and Veit, R.R.: Partial differential equations in ecology: spatial interactions and population dynamics, Ecology 75:17-29 (1994).
  11. Lewis, M.A: Spatial coupling of plant and herbivore dynamics: The contribution of herbivore dispersal to transient and persistent ``waves'' of damage, Theor. Pop. Biol. 45:277-312 (1994).
  12. Sherratt, J.A., Lewis, M.A., Fowler, A.C.: Ecological chaos in the wake of invasion, Proc. Nat. Acad. Sci. 92:2524-2528 (1995).
  13. Neubert, M., Kot, M., Lewis, M.A.: Dispersal and pattern formation in a discrete-time predator-prey model, Theor. Pop. Biol. 48:7-43 (1995).
  14. White, K.J., Lewis, M.A., Murray, J.D.: A model for wolf-pack territory formation and maintenance J. Theor. Biol. 178: 29-43 (1996).
  15. Cruywagen G., Kareiva, P., Lewis, M.A., Murray, J.D.: Modelling the risk of spread of genetically engineered population in a spatially heterogeneous environment, Theor. Pop. Biol. 49: 1-38 (1996).
  16. Lewis, M.A., Schmitz, G., Kareiva, P., Trevors, J.: Models to examine containment and spread of genetically engineered microbes J. Mol. Ecol. 5: 165-175 (1996).
  17. Veit, R.R., Lewis, M.A.: Dispersal, population growth and the Allee Effect: Dynamics of the House Finch invasion of eastern North America Am. Nat. 148: 255-274 (1996).
  18. Kot, M., Lewis, M.A., van den Driessche, P.: Dispersal data and the spread of invading organisms Ecology 77, 2027-2042 (1996).
  19. Lewis, M.A., Schmitz, G.: Biological invasion of an organism with separate mobile and stationary states: Modeling and analysis Forma 11: 1-25 (1996).
  20. White, K.J., Lewis, M.A., Murray, J.D.: Wolf-deer interactions: a mathematical model. Proc. Roy. Soc. B 263: 299-305 (1996).
  21. Van Kirk, R.W., Lewis, M.A.: Integrodifference models for persistence in fragmented habitats Bull. Math. Biol. 59: 107-138 (1997).
  22. Lewis, M.A., White, K.A.J., Murray, J.D.: Analysis of a model for territorial pattern formation in wolves J. Math. Biol. 35: 749-774 (1997)
  23. Sherratt, J.A, Eagan, B.T., Lewis, M.A.: Oscillations and chaos behind predator-prey invasion: Mathematical artifact or ecological reality? Phil. Trans. Roy. Soc. B 352: 21-38 (1997).
  24. Ermentrout, B., Lewis, M.A.: Pattern formation in systems with one spatially distributed species Bull. Math. Biol. 59: 533-550 (1997).
  25. Clark, J. Fastie, C. Hurtt, G., Jackson, S., Johnson, C., King, G., Lewis, M., Lynch, J., Pacala, S., Prentice, C., Schupp, G, Webb, T., Wyckoff, P: Dispersal theory offers solutions to Reid's Paradox of rapid plant migration. BioScience 48:13-24 (1998).
  26. Lewis, M.A., Pacala, S.: Modeling and analysis of stochastic invasion processes (in press J. Math. Biol.).
  27. Moorcroft, P.R., Lewis, M.A., Crabtree: Analysis of Coyote Canis latrans home ranges using a mechanistic home range model. Ecology 80: (1999).
  28. Van Kirk, R.W., Lewis, M.A.: Edge Permeability and population persistence in isolated habitat patches Natural Resources Modeling 12:37-64 (1999).
  29. Lewis, M.A.: Spread reate for a nonlinear stochastic invasion. (in press J. Math. Biol.).
Other Publications:
  1. Kareiva, P., Settle, W., Lewis, M.A.: The significance of vegetation structure as a constraint on insect mobility: Implications for pest management, in Ecological Processes in Agro-Ecosystems (Shiyomi, M., Yano, E., Koizumi, H., Andow, D.A. and Nobuhiko, H., eds.) pp. 67-78 (1992).
  2. Lewis, M.A.: Variability, patchiness and jump dispersal in the spread of an invading population, Chapter 3 In: Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions (D. Tilman and P. Kareiva Eds.), Princeton University Press, pp. 46-69 (1997).
  3. White, K.J., Lewis, M.A., Murray, J.D.: On wolf territoriality and deer survival, Chapter 6 In: Modeling Spatiotemporal Dynamics (R.V. Sole and J. Bascompte eds.), Landes Bioscience, pp. 105-126 (1998).
In Review:
  1. Clark, J., Horvath, L., Lewis, M.A.: On the estimation of spread rate for a biological population. (submitted to Biometrika).
  2. Keitt, T.H., Lewis, M.A., Holt, R.D.: Allee dynamics, critical phenomena and species' borders (submitted to Am. Nat.).
  1. Owen, M, Lewis, M.A.: The mechanics of lung tissue under high frequency ventillation.
  1. Othmer, H.G., Adler, F.R., Lewis, M.A., Dallon, J.C.: Mathematical Modeling in Biology: Case Studies in Ecology, Physiology and Cell Biology. Prentice Hall. (1997). ISBN 0-13-574039-8.

Book Review:
  1. Lewis, M.A.: Review of `Growth and Diffusion Phenomena: Mathematical Frameworks and Applications, by Robert B. Banks' Bull. Math. Biol. 58: 205-206 (1996).

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Mark A. Lewis