Luo Demou, Wang Qiru, Xie Huayou, Zhang Zhuming
School of Mathematics, Sun Yat-sen University, Guangzhou 510275, Guangdong, People's Republic of China.
School of Mathematics, Jiaying University, Meizhou 514015, Guangdong, People's Republic of China.
Chaos. 2025 Jul 1;35(7). doi: 10.1063/5.0266107.
In this paper, we study a predator-prey model with a Beddington-DeAngelis functional response, where the effect of habitat complexity and additional food is proposed to jointly affect the dynamics of predator and prey. It is shown that the system can appear with a series of bifurcation phenomena, including Hopf bifurcation, saddle-node bifurcation, transcritical bifurcations at the x axis and the y axis, and a cusp type Bogdanov-Takens bifurcation of codimension two, and the system exhibits various dynamics, such as homoclinic orbits, multicoexistent periodic orbits, and a multicoexistent steady state. Several numerical examples are shown to verify our main results.
在本文中，我们研究了一个具有Beddington-DeAngelis功能反应的捕食者-猎物模型，其中提出栖息地复杂性和额外食物的影响共同作用于捕食者和猎物的动态变化。结果表明，该系统可能会出现一系列分岔现象，包括霍普夫分岔、鞍结分岔、在x轴和y轴上的跨临界分岔以及余维数为二的尖点型Bogdanov-Takens分岔，并且该系统呈现出各种动态行为，如同宿轨道、多共存周期轨道和多共存稳态。给出了几个数值例子来验证我们的主要结果。
