TY - JOUR T1 - Spatial Dynamics of a Lattice Lotka-Volterra Competition Model with a Shifting Habitat AU - Huang , Bojun AU - Dai , Binxiang JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 161 EP - 183 PY - 2024 DA - 2024/03 SN - 6 DO - http://doi.org/10.12150/jnma.2024.161 UR - https://global-sci.org/intro/article_detail/jnma/22973.html KW - Lattice Lotka-Volterra competition model, shifting habitat, spreading speed. AB -

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.