4.4 Article

Evolution of Dispersal with Starvation Measure and Coexistence

Journal

BULLETIN OF MATHEMATICAL BIOLOGY
Volume 78, Issue 2, Pages 254-279

Publisher

SPRINGER
DOI: 10.1007/s11538-016-0142-8

Keywords

Coexistence; Evolutional selection; Global asymptotic stability; Linear stability; Starvation driven diffusion

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Many biological species increase their dispersal rate if starvation starts. To model such a behavior, we need to understand how organisms measure starvation and response to it. In this paper, we compare three different ways of measuring starvation by applying them to starvation-driven diffusion. The evolutional selection and coexistence of such starvation measures are studied within the context of Lotka-Volterra-type competition model of two species. We will see that, if species have different starvation measures and different motility functions, both the coexistence and selection are possible.

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