Bifurcations of a Two-Dimensional Discrete-Time Predrator-Prey Model
Abstract
In this paper, we study the dynamics and bifurcation of a two-dimensional discrete-time predator-prey model. The existence and local stability of the equilibrium points of the model are analyzed algebraically. It is shown that the model can undergo a transcritical bifurcation at equilibrium point on the $x$-axis and a Neimark-Sacker bifurcation in a small neighborhood of the unique positive equilibrium point. Some numerical simulations are presented to illustrate our theoretical results.
Fields of Study & Subjects
Mathematical and Theoretical Epidemiology and Ecology Models
Advanced Differential Equations and Dynamical Systems
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- SARAJEVO JOURNAL OF MATHEMATICS
- Volume
- 21
- Issue
- 02
- Publication date
- 4 February 2026