Mark Lewis

Professor & CRC


Mathematical and Statistical Sciences


My research is mathematical biology, with a focus in spatial ecology. Mathematical models include nonlinear partial differential equations, integrodifference equations and related stochastic spatial processes. Biological problems include modeling the process of territorial pattern formation in wolves, predicting population spread in biological invasions, calculating optimal strategies for biocontrol, and assessing the effect of habitat fragmentation on species survival. A significant part of my research involves the formulation and verification of quantitative models, in collaboration with biologists. Mathematical approaches include analytical methods for dynamical systems, perturbation theory, and computational methods.