DYNAMIC STUDY OF A PREDATOR-PREY MODEL WITH WEAK ALLEE EFFECT AND HOLLING TYPE-III FUNCTIONAL RESPONSE

被引：4
|
作者：
Liu, Hua [1 ]
Ye, Yong [1 ]
Wei, Yumei
Ma, Ming [1 ]
Ye, Jianhua [1 ]
机构：
[1] Northwest Minzu Univ, Sch Math & Comp Sci, Lanzhou 730030, Gansu, Peoples R China
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2018年 / 27卷 / 04期
基金：
中国国家自然科学基金;
关键词：
weak Allee effect; prey-predator; stability; Hopf bifurcation; BIFURCATION-ANALYSIS; STABILITY; SYSTEM;
D O I：
10.12732/dsa.v27i4.15
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A prey-predator model with weak Allee effect in prey growth, Holling type-III functional response in predator growth is proposed and its dynamical behaviors are studied in detail. The existence, boundness and stability of the equilibria are qualitatively discussed. Hopf bifurcation analysis are also taken into account. We present some numerical simulations to illustrate our theoretical analysis. Through computer simulation, we found the position of each equilibrium point in the phase diagram that we drew. In the bifurcation diagram we found the threshold for undergoing Hopf bifurcation.
引用
收藏
页码：943 / 953
页数：11
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