Stability and bifurcation analysis of an amensalism system with Allee effect

被引：13
|
作者：
Zhao, Ming [1 ]
Du, Yunfei [2 ]
机构：
[1] China Univ Geosci Beijing, Sch Sci, Beijing 100083, Peoples R China
[2] Beijing Inst Graph Commun, Dept Basic, Beijing 102600, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Amensalism system; Allee effect; Stability; Saddle-node bifurcation; MODEL; DELAY;
D O I：
10.1186/s13662-020-02804-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we propose and study a new amensalism system with Allee effect on the first species. First, we investigate the existence and stability of all possible coexistence equilibrium points and boundary equilibrium points of this system. Then, applying the Sotomayor theorem, we prove that there exists a saddle-node bifurcation under some suitable parameter conditions. Finally, we provide a specific example with corresponding numerical simulations to further demonstrate our theoretical results.
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收藏
页数：13
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