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.
引用
收藏
页码：15 / 27
页数：13
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