Stable limit cycles in an intraguild predation model with general functional responses

被引：4
|
作者：
Ble, Gamaliel [1 ]
Castellanos, Victor [1 ]
Loreto Hernandez, Ivan [2 ]
机构：
[1] Univ Juarez Autonoma Tabasco, Div Acad Ciencias Basicas, Km 1,Carretera Cunduacan Jalpa Mendez, Villahermosa 86690, Tabasco, Mexico
[2] Univ Juarez Autonoma Tabasco, Consejo Nacl Ciencia & Tecnol, Div Acad Ciencias Basicas, Villahermosa, Tabasco, Mexico
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 04期
关键词：
Bautin bifurcation; Hopf bifurcation; intraguild predation model; limit cycle; HOPF-BIFURCATION; STABILITY; DYNAMICS;
D O I：
10.1002/mma.7921
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The conditions to have a stable limit set in the positive octant for an intraguild predation model are given, considering a general family of functional responses for the predators and a wide range of growth rate functions for the prey. The limit sets are obtained by Hopf or Bautin bifurcation. The results obtained in previous works about intraguild predation models, which consider logistic growth rate for the prey and Holling functional responses, are generalized.
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页码：2219 / 2233
页数：15
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