College of Mathematics and Data Science, Minjiang University, Fuzhou, People's Republic of China.
School of Mathematics and Statistics, Fuzhou University, Fuzhou, People's Republic of China.
J Biol Dyn. 2022 Dec;16(1):480-498. doi: 10.1080/17513758.2022.2091800.
In this paper, we consider a fear effect predator-prey model with mutual interference or group defense. For the model with mutual interference, we show the interior equilibrium is globally stable, and the mutual interference can stabilize the predator-prey system. For the model with group defense, we discuss the singular dynamics around the origin and the occurrence of Hopf bifurcation, and find that there is a separatrix curve near the origin such that the orbits above which tend to the origin and the orbits below which tend to limit cycle or the interior equilibrium.
在本文中，我们考虑了一个具有相互干扰或群体防御的捕食者-猎物的恐惧效应模型。对于具有相互干扰的模型，我们证明了内平衡点是全局稳定的，并且相互干扰可以使捕食者-猎物系统稳定。对于具有群体防御的模型，我们讨论了原点附近的奇异动力学和 Hopf 分支的发生，并发现原点附近存在一个分隔曲线，使得位于该曲线之上的轨道趋向于原点，而位于该曲线之下的轨道则趋向于极限环或内平衡点。
