Dynamical Behavior of a Delayed Holling Type-II Predator-Prey Model with Predator Cannibalism

In this article, we propose the Holling type-II predator-prey model involving cannibalism and gestation delay in predators. We study the existence of all possible equilibrium points of the proposed model. We give the condition for the local stability and Hopf bifurcation analysis for the nondelayed...

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Bibliographic Details
Published inJournal of Mathematics Vol. 2022; no. 1
Main Authors Lavanya, R., Vinoth, S., Sathiyanathan, K., Njitacke Tabekoueng, Zeric, Hammachukiattikul, P., Vadivel, R.
Format Journal Article
LanguageEnglish
Published Cairo Hindawi 2022
John Wiley & Sons, Inc
Wiley
Subjects
Cannibalism
Endangered & extinct species
Equilibrium
Extinction
Hopf bifurcation
Mathematics
Population
Predator-prey simulation
Predators
Stability analysis
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Summary:In this article, we propose the Holling type-II predator-prey model involving cannibalism and gestation delay in predators. We study the existence of all possible equilibrium points of the proposed model. We give the condition for the local stability and Hopf bifurcation analysis for the nondelayed model. Next, we also establish the local stability and Hopf bifurcation analysis for the corresponding delayed model. Finally, we discuss how cannibalism and delay play an important role in stabilizing and destabilizing the proposed system both theoretically and numerically.
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ISSN:2314-4629
2314-4785
DOI:10.1155/2022/4071375