Work

Global Dynamics of the Lotka‐Volterra Competition‐Diffusion System: Diffusion and Spatial Heterogeneity I

Year: 2015

Type: article

Abstract: In the first part of this series of three papers, we investigate the combined effects of diffusion, spatial variation, and competition ability on the global dynamics of a classical Lotka‐Volterra competition‐diffusion system. We establish the main results that determine the global asymptotic stability of semitrivial as well as coexistence steady states. Hence a complete understanding of the change in dynamics is obtained immediately. Our results indicate/confirm that, when spatial heterogeneity is included in the model, “diffusion‐driven exclusion” could take place when the diffusion rates and competition coefficients of both species are chosen appropriately.© 2016 Wiley Periodicals, Inc.

Source: Communications on Pure and Applied Mathematics

DOI: 10.1002/cpa.21596

Authors: Xiaoqing He, Wei‐Ming Ni

Institutions: East China Normal University, University of Minnesota, University of Minnesota System

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: bronze

OpenAlex ID: W1923031679

FWCI: 9.714

Cites: 33

Cited by: 228

Related to: 10