Stability of Synchronized Steady State Solution of Diffusive Lotka-Volterra Predator-Prey Model

Yongyan Huang; Fuyi Li; Junping Shi

doi:10.1016/j.aml.2020.106331

paper

Stability of Synchronized Steady State Solution of Diffusive Lotka-Volterra Predator-Prey Model

arXiv:2001.11947 · doi:10.1016/j.aml.2020.106331

Abstract

We study the reaction-diffusion Lotka-Volterra predator-prey model with Dirichlet boundary condition. In the case of equal diffusion rates and equal growth rates, the synchronized steady state solution is proved to be locally asymptotically stable.

7 pages