Stability and Bifurcation Analysis of a Commensal Model with Allee Effect and Herd Behavior

被引：0
|
作者：
Cai, Junning [1 ,2 ,3 ]
Pinto, Manuel [4 ]
Xia, Yonghui [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
[2] Guangxi Univ Finance & Econ, Dept Appl Math, Nanning 530003, Guangxi, Peoples R China
[3] Guangxi Key Lab Big Data Finance & Econ, Nanning 530003, Guangxi, Peoples R China
[4] Univ Chile, Dept Matemat, Santiago, Chile
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2022年 / 32卷 / 14期
关键词：
Herd behavior; Allee effect; stability; bifurcation; Sotomayor's theorem; saddle-node bifurcation; pitchfork bifurcation; PREDATOR-PREY SYSTEM; PATTERNS;
D O I：
10.1142/S0218127422502170
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study a commensal model with Allee effect and herd behavior. Firstly, the stability of all possible equilibria are investigated. Secondly, using the Sotomayor's theorem, we prove the existence of saddle-node bifurcation and pitchfork bifurcation. Finally, all the theoretical predictions on the bifurcation are verified by numerical simulations.
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页数：13
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