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.

引用

页码：2219 / 2233

页数：15

共 50 条

[41] Substrate inhibition can produce coexistence and limit cycles in the chemostat model with allelopathy
Zitouni, Nour El Houda
Dellal, Mohamed
Lakrib, Mustapha
JOURNAL OF MATHEMATICAL BIOLOGY, 2023, 87 (01)
[42] Unbounded sequences of stable limit cycles in the delayed Duffing equation: an exact analysis
Sah, Si Mohamed
Fiedler, Bernold
Shayak, B.
Rand, Richard H.
NONLINEAR DYNAMICS, 2021, 103 (01) : 503 - 515
[43] Intraguild Predation Model with Stage Structure and Cannibalism in Prey Population
Manimaran, Kritika
Mustapha, Faridah
Siam, Fuaada Mohd
MATEMATIKA, 2022, 38 (02) : 157 - 178
[44] Global classical solvability and stabilization in a reaction-diffusion intraguild predation model with chemotaxis
Han, Renji
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (04):
[45] The stable limit cycles: A synchronization phenomenon
Gine, Jaume
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (07): : 1649 - 1657
[46] Intraguild Predation and Competitions of Two Stage-Structured Species in a Seasonal Patchy Model
Wang, Feng-Bin
Cheng, Chang-Yuan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
[47] Bifurcation of Multiple Limit Cycles in an Epidemic Model on Adaptive Networks
Zhang, Xiaoguang
Jin, Zhen
Yu, Pei
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (07):
[48] Limit cycles in a chemostat model for a single species with age structure
Toth, Damon
Kot, Mark
MATHEMATICAL BIOSCIENCES, 2006, 202 (01) : 194 - 217
[49] Existence of limit cycles for predator-prey systems with a class of functional responses
Hesaaraki, M
Moghadas, SM
ECOLOGICAL MODELLING, 2001, 142 (1-2) : 1 - 9
[50] The diffusive intraguild predation model with intraspecific competition and double free boundaries
Zhang, Dawei
Dai, Binxiang
APPLICABLE ANALYSIS, 2021, 100 (16) : 3322 - 3349

← 1 2 3 4 5 →