Delay induced oscillation in predator–prey system with Beddington–DeAngelis functional response
作者：
Highlights：
•
摘要
The Beddington–DeAngelis predator–prey system with distributed delay is studied in this paper. At first, the positive equilibrium and its local stability are investigated. Then, with the mean delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. The bifurcating periodic solutions are analyzed by means of the normal form and center manifold theorems. Finally, numerical simulations are also given to illustrate the results.
论文关键词：Stability,Hopf bifurcation,Distributed delay,Predator–prey system,Normal form,Center manifold theorem
论文评审过程：Available online 15 February 2007.
论文官网地址：https://doi.org/10.1016/j.amc.2007.02.012
