一类Holling-Tanner生态流行病系统的周期解  

Periodicity in a Holling-Tanner Eco-epidemiological System

作　　者：钟小容[1] 王凤筵[1] 张树文[1] 

机构地区：[1]集美大学理学院,福建厦门361021

出　　处：《集美大学学报（自然科学版）》2015年第4期305-310,共6页Journal of Jimei University：Natural Science

基　　金：国家自然科学基金资助项目(31272653)

摘　　要：研究了一类在捕食者种群中带有传染病结构的周期非自治Holling-Tanner捕食者-食饵模型,证明了所有正初始值的解保持正值,并利用重合度理论、Mawhin's的连续性定理,得到了周期非自治系统正周期解存在的充分条件.An epidemic model of a Holling-Tanner predator-prey system with epidemic in predator is dis-cussed in this paper. The solution with initial data always remains positive in its region. The sufficient condi-tions are easily established for the existence of positive periodic solutions, by the methods of coincidence de-gree and Mawhin’s continuation theorem.

关 键 词：HOLLING-TANNER 捕食-食饵模型 周期解 重合度 Mawhin连续性定理 

分 类 号：O175.13[理学—数学]