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

被引：4
|
作者：
Wang, Rong [1 ]
Jia, Yunfeng [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2016年 / 143卷 / 01期
基金：
美国国家科学基金会;
关键词：
Predator-Prey model; Bifurcation; Positive solution; Beddington-DeAngelis functional response; Non-Selective harvesting; QUALITATIVE-ANALYSIS; POSITIVE SOLUTIONS; SYSTEM; DIFFUSION; STABILITY; EXISTENCE; DYNAMICS;
D O I：
10.1007/s10440-015-0025-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：15 / 27
页数：13
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