Evolution of dispersal in advective patchy environments with varying drift rates

2023/01/16 by Shanshan Chen, Jie Liu, Chen, Shanshan +3 · 2 citations
Medicine · Biochemistry, Genetics and Molecular Biology · Mathematics · #Mathematical and Theoretical Epidemiology and Ecology Models #Evolution and Genetic Dynamics #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2301.06638

Abstract

In this paper, we study a two stream species Lotka-Volterra competition patch model with the patches aligned along a line. The two species are supposed to be identical except for the diffusion rates. For each species, the diffusion rates between patches are the same, while the drift rates vary. Our results show that the convexity of the drift rates has a significant impact on the competition outcomes: if the drift rates are convex, then the species with larger diffusion rate wins the competition; if the drift rates are concave, then the species with smaller diffusion rate wins the competition.

Cited by

• An additional food driven biological control patch model, incorporating generalized competition
• The effect of "very fast" dispersal on two species competition with drift

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