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

作　　者：雷鸣[1] 

机构地区：[1]北华大学数学学院,吉林吉林132013

出　　处：《吉林大学学报（理学版）》2010年第1期45-49,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10771020)

摘　　要：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.

关 键 词：Holling-Tanner系统 干扰和扩散 重合度理论 正周期解 

分 类 号：O175.14[理学—数学]