Dynamical Complexities of a Discrete Ivlev-Type Predator-Prey System

• Published in: Discrete dynamics in nature and society Vol. 2023; pp. 1 - 14
• Main Author: Rana, Sarker Md. Sohel
• Format: Journal Article
• Language: English
• Published: New York Hindawi 13.02.2023; John Wiley & Sons, Inc; Hindawi Limited
• Subjects: Bifurcation theory; Centre manifold theory; Dynamic stability; Feedback control; Numerical analysis; Predation; Predator-prey simulation; Predators; Simulation methods

In this study, we examine a discrete predator-prey system from the following two perspectives: (i) the functional response is of the Ivlev type and (ii) the prey growth rate is of the Gompertz type. We define the stability requirement for feasible fixed points. We demonstrate algebraically that if t...