一类具有反应扩散和比率依赖功能性反应的捕食者-食饵模型的全局稳定性

Global asymptotic stability of a diffusive predator-prey model with ratio-dependent functional response

研究一类具有反应扩散和比率依赖功能性反应的捕食者-食饵模型。通过构造递推序列和运用迭代方法,得到了该生态种群系统的正平衡点是全局渐近稳定的。所得结论完善和补充了前人的结果。

A diffusive predator-prey model with ratio-dependent fimctional response is considered in this paper. Sufficient conditions for the global asymptotic stability of the unique positive equilibrium of the system are derived by constructing recurrent se- quences and using an iterative method. It is shown that our result supplements and complements one of the main results of Shi and Li~ paper.