The goal of these talks is to introduce applications of reaction diffusion equations in biology, focusing on the effect of environmental spatial heterogeneity on population dynamics. The topics covered include total biomass of a single population in heterogeneous habitat, effect of spatial heterogeneity on competing species, and persistence and competition of organisms in rivers.
Part I. An introduction to the logistic model.
Part II. Diffusion driven extinction in heterogeneous environment.
Part III. Persistence and competition in rivers.