具有机会主义捕食者和猎物弱艾伦效应的捕食者-猎物模型的复杂动力学。

Complex dynamics of a predator-prey model with opportunistic predator and weak Allee effect in prey.

机构信息

College of Mathematics and Data Science, Minjiang University, Fuzhou, Fujian, People's Republic of China.

Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada.

出版信息

J Biol Dyn. 2023 Dec;17(1):2225545. doi: 10.1080/17513758.2023.2225545.

DOI:10.1080/17513758.2023.2225545

PMID:37339327

Abstract

In this work, we first modify a Lotka-Volterra predator-prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large. Otherwise, the dynamic behaviour of the system is extremely rich. A series of bifurcations such as saddle-node bifurcation, Hopf bifurcation, and Bogdanov-Takens bifurcation can happen. The validity of the theoretical results are supported with numerical simulations.

摘要

在这项工作中，我们首先修改了一个洛特卡-沃尔泰拉捕食者-猎物系统，将机会主义捕食者和猎物的弱阿利效应纳入其中。如果捕食者的狩猎和其他食物资源的综合作用较大，那么猎物将灭绝。否则，系统的动态行为将非常丰富。可能会发生一系列分岔，如鞍结分岔、Hopf 分岔和 Bogdanov-Takens 分岔等。数值模拟支持了理论结果的有效性。