一类捕食者具似Allee效应的捕食食饵集合种群系统的动力学行为研究  

Studies on the Dynamic of a Predator-Prey Metapopulation System with Allee-like Effects on the Predator

作　　者：师向云 张泰瑞 高喜文 李菁 SHI Xiangyun;ZHANG Tairui;GAO Xiwen;LI Jing(College of Mathematics and Statistics,Xinyang Normal University,Xinyang 464000,China)

机构地区：[1]信阳师范学院数学与统计学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2021年第3期345-349,共5页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11701495)。

摘　　要：讨论了一类捕食者具似Allee效应的捕食食饵集合种群系统的动力学行为.首先分析了边界平衡点和正平衡点的存在性和局部稳定性,并证明了当系统存在一个正平衡点时极限环的存在性;然后用数值模拟分析了栖息地破坏和似Allee效应分别对捕食者和食饵的影响;最后从生态学的角度加以解释.The dynamics of a predator-prey metapopulation system with Allee-like effects on the predator is considered.Firstly,the existence and the local stability of the boundry equilibria and the positive equilibria are analyzed,and the existence of a limit cycle is proved if there is only one positive equilibrium point.Then the impact of Allee-like effects and habitat destruction on the predator-prey metapopulation system are analyzed by numerical results.Lastly,the biological meanings are given.

关 键 词：集合种群 似Allee效应 栖息地破坏 Levins原理 捕食与食饵系统 

分 类 号：O175[理学—数学]