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 - <p style="text-align: justify;">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.</p>