Dynamical analysis of a delayed predator-prey system with modified Leslie-Gower and Beddington-DeAngelis functional response

作者：Liu Juan^*

来源：Advances in Difference Equations, 2014, 2014(1): 314.

DOI：10.1186/1687-1847-2014-314

• delays
• Hopf bifurcation
• predator-prey system
• stability
• periodic solution

The dynamics of a delayed predator-prey system with modified Leslie-Gower and Beddington-DeAngelis functional response is investigated. The main results are given in terms of local stability and local Hopf bifurcation. By regarding the possible combination of the feedback delays of the prey and the predator as a bifurcation parameter, sufficient conditions for the local stability and existence of the local Hopf bifurcation of the system are obtained. In particular, the properties of the local Hopf bifurcation such as direction and stability are determined by using the normal form method and center manifold theorem. Finally, numerical simulations are carried out to illustrate the main theoretical results.

• 出版日期2014-12-15
• 单位蚌埠学院