具有恐惧效应与群体防御及捕食者种内竞争的捕食者–食饵动力学

Predator-Prey Dynamics with Fear Effects and Group Defense and Intraspecific Competition by the Predator

研究食饵具有恐惧效应和群体防御与捕食者种内竞争的捕食者–食饵模型,分析了系统内部平衡点的存在性以及一定条件下平衡点的稳定性,找出了系统在边界平衡点发生跨临界分岔的条件,并利用Dulac判别法证明了系统在一定条件下不存在极限环。

In this paper, we study a prey with fear effect and group defense and predator species competition predator-prey model, analyze the existence of the system and the stability of the equilibrium point, find out the conditions of the transcritical bifurcation at the boundary equilibrium point, and use the Dulac discrimination to prove that the system has no limit ring under certain conditions.