Article citationsMore>>

Leslie, P.H. and Gower, J.C. (1960) The Properties of a Stochastic Model for the Predator-Prey Type of Interaction between Two Species. Biometrika, 47, 219-234.
https://doi.org/10.1093/biomet/47.3-4.219

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.