含两种捕食者和两种竞争食饵的扩散系统的稳定性

Asymptotic stability in a two predators-two competitive preys ecosystem with diffusion

讨论一类含两种捕食者和两种竞争食饵的捕食者-食饵模型解的存在性和一致有界性.应用线性化方法研究了该模型非负平衡点的局部渐近稳定性;应用Lyapunov方法给出了该模型正平衡点全局渐近稳定的充分条件.

The existence and the uniform boundeness of solutions for a predator-prey model, which is consisted of two predators and two competitive preys, are discussed in this paper. The local asymptotic stability of the nonnegative equilibrium points to the model is obtained by using linearization, and a sufficient condition for the global asymptotic stability of the positive equilibrium points is given by a Lyapunov function.