Stability analysis of prey-predator system with Holling type functional response and prey refuge

被引：28
|
作者：
Ma, Zhihui [1 ]
Wang, Shufan [2 ]
Wang, Tingting [1 ]
Tang, Haopeng [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
[2] Northwest Univ Nationalities, Sch Math & Comp Sci, Lanzhou 730000, Gansu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
predator-prey system; prey refuge; stability; limit cycle; bifurcation; destabilizing effect; DYNAMICS; MODEL; BIFURCATION;
D O I：
10.1186/s13662-017-1301-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a predator-prey system with Holling type function response incorporating prey refuge is presented. By applying the analytical approaches, the dynamics behavior of the considered system is investigated, including stability, limit cycle and bifurcation. The results show that the shape of the functional response plays an important role in determining the dynamics of the system. Especially, the interesting conclusion is that the prey refuge has a destabilizing effect under some certain conditions.
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收藏
页数：12
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