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

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.