Adaptation in a heterogeneous environment. I: Persistence versus extinction
François Hamel,
Florian Lavigne,
Lionel Roques
Abstract:Understanding how a diversity of plants in agroecosystems affects the adaptation of pathogens in a key issue in agroecology. We analyze PDE systems describing the dynamics of adaptation of two phenotypically structured populations, under the effects of mutation, selection and migration in a two-patches environment, each patch being associated with a different phenotypic optimum. We consider two types of growth functions that depend on the n−dimensional phenotypic trait: either local and linear or nonlocal nonl… Show more
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