We study the global dynamics of some reaction-diffusion systems for multiple strains and investigate how the coexistence of strains is impacted by the movement of populations and spatial heterogeneity of the environment. For the case of two strains, general conditions for the existence, uniqueness and stability of coexistence steady states are found. Surprisingly, when there is no coexistence of strains, it is possible for the "weak" strain to be dominant for intermediate diffusion rates, in strong contrast to small and large diffusion cases where the "weak" strain goes extinct. This talk is based on joint work with Rachidi Salako.

 

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