Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response

被引：0
|
作者：
Castellanos, Victor [1 ]
Llibre, Jaume [2 ]
机构：
[1] Div Academ Ciencias Bas, UJAT, Km 1 Carretera Cunduacan Jalpa de Mendez, Cunduacan 86690, Tabasco, Mexico
[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2025年 / 82卷
基金：
欧盟地平线“2020”;
关键词：
Periodic orbit; Averaging theory; Zero-Hopf bifurcation; Population dynamics;
D O I：
10.1016/j.nonrwa.2024.104232
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze the persistence of three species in a three-level food chain model. We characterize when such a model exhibits a zero-Hopf equilibrium point and show that it is possible only if the functional responses in the model are of type Holling III or IV.
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页数：4
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