On a Lotka-Volterra Competition Diffusion Model with Advection

Citation:

Qi WANG.On a Lotka-Volterra Competition Diffusion Model with Advection[J].Chinese Annals of Mathematics B,2021,42(6):891~908
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Authors:

Qi WANG;
Abstract: In this paper, the author focuses on the joint effects of diffusion and advection on the dynamics of a classical two species Lotka-Volterra competition-diffusion-advection system, where the ratio of diffusion and advection rates are supposed to be a positive constant. For comparison purposes, the two species are assumed to have identical competition abilities throughout this paper. The results explore the condition on the diffusion and advection rates for the stability of former species. Meanwhile, an asymptotic behavior of the stable coexistence steady states is obtained.

Keywords:

Competition-diffusion-advection, Stability, Dynamics

Classification:

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