基于比率的Holling-Tanner干扰扩散系统的周期解

Periodic Solution of Diffusive and Mutual Interference Holling-Tanner System with Ratio-Dependence

利用重合度理论中的延拓定理,讨论具有比率依赖和时滞的Holling-Tanner干扰扩散系统全局正周期解的存在性,得到了保证周期解存在的充分条件.结果表明,当食饵种群的內禀增长率大于其总消耗率时系统将产生生物性周期振荡.

Using a continuation theorem based on Gaines and Mawhin＇s coincidence degree,we studied the global existence of positive periodic solutions of a predator-prey diffusive system with mutual interference and ratio dependence.A set of easily verifiable sufficient conditions were obtained,which improved some known results.The results show when the prey population intrinsic increasing rate is greater than the total consumption rate,the system will bring periodic oscillation of biological nature.