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Article Dans Une Revue Journal of Mathematical Biology Année : 2021

Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit

Résumé

We rigorously prove the passage from a Lotka-Volterra reaction-diffusion system towards a cross-diffusion system at the fast reaction limit. The system models a competition of two species, where one species has a more diverse diet than the other. The resulting limit gives a cross-diffusion system of a starvation driven type. We investigate the linear stability of homogeneous equilibria of those systems and rule out the possibility of Turing instability. Numerical simulations are included which are compatible with the theoretical results.
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Dates et versions

hal-03013229 , version 1 (19-11-2020)
hal-03013229 , version 2 (11-11-2021)

Identifiants

Citer

Elisabetta Brocchieri, Lucilla Corrias, Helge Dietert, Yong-Jung Kim. Evolution of dietary diversity and a starvation driven cross-diffusion system as its singular limit. Journal of Mathematical Biology, 2021, ⟨10.1007/s00285-021-01679-y⟩. ⟨hal-03013229v2⟩
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