一类具有非线性密度制约的食饵-捕食者扩散模型的稳定性

Stability of a Prey-Predator Model with Nonlinear Density Dependent and Diffusion

讨论了一类具有非线性密度制约的食饵-捕食者扩散规模型,运用线性化方法和Lyapunov函数法分别讨论该反应扩散模型唯一正平衡点的局部渐近稳定性和全局渐近稳定性.

In this paper,we study a prey-predator model with norJinear density dependant and diffusion.The locally asymptotical stability and the globally asymptotical stability of the unique positive constant steady states are given by Unearization and Lyapunov functions.