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

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...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2022-03, Vol.45 (4), p.2219-2233
Main Authors: Blé, Gamaliel, Castellanos, Víctor, Loreto Hernández, Iván
Format: Article
Language:English
Subjects:
Bautin bifurcation
Hopf bifurcation
intraguild predation model
limit cycle
Predation
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Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7921