EXISTENCE AND GLOBAL ATTRACTIVITY OF A POSITIVE PERIODIC SOLUTION FOR A NON-AUTONOMOUS PREDATOR-PREY MODEL UNDER VIRAL INFECTION

被引：2

作者：

Zhou, Fengyan ^{[1
]}

机构：

[1] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2009年 / 2卷 / 04期

关键词：

Nonautonomous predator-prey model; virus; infection; coincidence degree; existence; global attractivity; DEANGELIS FUNCTIONAL-RESPONSE; STAGE-STRUCTURE; PEST-CONTROL; SYSTEM; STABILITY; DELAY;

D O I：

10.1142/S1793524509000765

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A new non-autonomous predator-prey system with the effect of viruses on the prey is investigated. By using the method of coincidence degree, some sufficient conditions are obtained for the existence of a positive periodic solution. Moreover, with the help of an appropriately chosen Lyapunov function, the global attractivity of the positive periodic solution is discussed. In the end, a numerical simulation is used to illustrate the feasibility of our results.

引用

页码：419 / 442

页数：24

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