期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 33, 期 1, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812742350013X
关键词
Prey-predator; Bogdanov-Takens bifurcation; prey refuge; fear effect; Beddington-DeAngelis
In this paper, a Beddington-DeAngelis prey-predator model with fear effect, refuge and harvesting is investigated. The positivity of solutions and boundedness of the system are given. The existence and local stability of equilibria are obtained. Different codimension-one bifurcations and Bogdanov-Takens bifurcation of codimension-two occur as predicted by the center manifold theorem and bifurcation theory. Numerical simulations are carried out to confirm the theoretical results.
In this paper, a Beddington-DeAngelis prey-predator model with fear effect, refuge and harvesting is investigated. First, the positivity of solutions and boundedness of system are given. Then, the existence and local stability of equilibria of such system are obtained. Next, not only different codimension-one bifurcations, such as saddle-node bifurcation, transcritical bifurcation and Hopf bifurcation take place, but also Bogdanov-Takens bifurcation of codimension-two occurs as predicted by the center manifold theorem and bifurcation theory. Finally, some numerical simulations are carried out to confirm our theoretical results.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据