具有非线性密度制约Holling-Ⅲ型功能反应食饵-捕食者扩散模型的稳定性

Diffusion Stability of a Prey-Predator Model with Nonlinear Density Dependence Holling-Ⅲ Type Functional Responses

讨论了一类具有非线性密度制约Holling-Ⅲ型功能反应食饵-捕食者扩散模型,运用线性化方法和Lyapunov函数法分别讨论该反应扩散模型非负平衡点的局部渐近稳定性和全局渐近稳定性。

This paper discusses on a class of prey-predator diffusion model with nonlinear density dependence Holling-Ⅲ type functional response.By linearization method and Lyapunov method,it has discussed respectively the local asymptotic stability and global asymptotic stability of the nonnegative equilibrium for this reaction’s diffusion model.