Spatial Dynamics of a Lattice Lotka-Volterra Competition Model with a Shifting Habitat

Year:    2024

Author:    Bojun Huang, Binxiang Dai

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 161–183

Abstract

In this paper, we concern with the spatial dynamics of the lattice Lotka-Volterra competition system in a shifting habitat. We study the impact of the environmental deterioration rate on the population density under the strong competition condition. Our results show that if the environment deteriorates rapidly, both species will become extinct. However, when the environmental degradation rate is not so fast, the species with slow diffusion will go extinct, while those with fast diffusion will survive. The extinction of species with slow diffusion can be divided into two situations: one is the extinction caused by environmental deterioration faster than its own diffusion speed, the other is the extinction caused by slow diffusion speed under the influence of strong competition.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2024.161

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 161–183

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Lattice Lotka-Volterra competition model shifting habitat spreading speed.

Author Details

Bojun Huang

Binxiang Dai