Stability and bifurcation analysis of an amensalism system with Allee effect

Advances in Difference Equations

article

Zhao, Ming¹  Du, Yunfei² 

[1] School of Science, China University of Geosciences (Beijing);Department of Basic, Beijing Institute of Graphic Communication

关键词: Amensalism system;    Allee effect;    Stability;    Saddle-node bifurcation;   

DOI  :  10.1186/s13662-020-02804-9

学科分类：航空航天科学

来源: SpringerOpen

【 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.

【 授权许可】

CC BY