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

• Published in: Journal of Mathematics Vol. 2022; no. 1
• Main Authors: Lavanya, R., Vinoth, S., Sathiyanathan, K., Njitacke Tabekoueng, Zeric, Hammachukiattikul, P., Vadivel, R.
• Format: Journal Article
• Language: English
• 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

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...