Analysis on Bifurcation for a Predator-Prey Model with Beddington-DeAngelis Functional Response and Non-Selective Harvesting

作者：Wang, Rong; Jia, Yunfeng^*

来源：Acta Applicandae Mathematicae, 2016, 143(1): 15-27.

DOI：10.1007/s10440-015-0025-2

• Predator-Prey model
• Bifurcation
• Positive solution
• Beddington-DeAngelis functional response
• Non-Selective harvesting

The biomathematical model is an important tool in exploring the dynamic behavior of different species. In this paper, we deal with a predator-prey model with Beddington-DeAngelis functional response and non-selective harvesting. We discuss the existence and stability of the local bifurcation solution, which emanates from the semi-trivial solution. Moreover, by using the boundedness of positive solutions and the global bifurcation theory, we find that the local bifurcation branch can be extended to the global bifurcation.

• 出版日期2016-6
• 单位陕西师范大学