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

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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 cross-diffusion induced instability (Turing instability). Numerical simulations are included which are compatible with the theoretical results.
Publisher
SPRINGER HEIDELBERG
Issue Date
2021-11
Language
English
Article Type
Article
Citation

JOURNAL OF MATHEMATICAL BIOLOGY, v.83, no.5

ISSN
0303-6812
DOI
10.1007/s00285-021-01679-y
URI
http://hdl.handle.net/10203/289196
Appears in Collection
MA-Journal Papers(저널논문)
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