Article citationsMore>>

Gakkhar, S. and Singh, A. (2012) Complex Dynamics in a Prey Predator System with Multiple Delays. Communications in Nonlinear Science and Numerical Simulation, 17, 914-929.
https://doi.org/10.1016/j.cnsns.2011.05.047

has been cited by the following article:

• TITLE: Dynamical Properties of a Discrete Lesley-Gower Prey-Predator Model with Holling-II Type Functional Response

  AUTHORS: Kaile Qiu, Wanying Li, Donghuan He, Guoqiang Qian, Xiaoliang Zhou

  KEYWORDS: Leslie-Gower Prey-Predator Model, Non-Hyperbolic Fixed Point, Flip Bifurcation, Neimark-Sacker Bifurcation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.11, November 28, 2024

  ABSTRACT: In this paper, we will study a class of discrete Leslie-Gower prey-predator models, which is a discretization of the continuous model proposed by Leslie and Gower in 1960. First, we find all fixed points, use hyperbolic and non-hyperbolic conditions to give the types of fixed points, and then analyze the bifurcation properties of non-hyperbolic fixed points. The generating conditions of Flip bifurcation and Neimark-Sacker bifurcation at fixed points are studied. Finally, numerical simulations of Flip bifurcation and Neimark-Sacker bifurcation are given.