Dynamics of a non-autonomous predator-prey system with Hassell-Varley-Holling II function response and mutual interference

被引：7
|
作者：
Wu, Luoyi [1 ]
Zheng, Hang [1 ]
Zhang, Songchuan [1 ]
机构：
[1] Wuyi Univ, Dept Math & Comp, Wu Yishan 354300, Fujian, Peoples R China
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 06期
关键词：
periodic solution; permanence; coincidence degree; globally asymptotic stability; numerical simulation; MULTIPLE PERIODIC-SOLUTIONS; MODEL; STABILITY; BIFURCATIONS;
D O I：
10.3934/math.2021355
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a non-autonomous Hassell-Varley-Holling type predator-prey system with mutual interference. We construct some sufficient conditions for the permanence, extinction and globally asymptotic stability of system by use of the comparison theorem and an appropriate Liapunov function. Then the sufficient and necessary conditions for a periodic solution of the system are obtained via coincidence degree theorem. Finally, the correctness of the previous conclusions are demonstrated by some numerical cases.
引用
收藏
页码：6033 / 6049
页数：17
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