Article citationsMore>>

Cui, J. and Song, X. (2004) Permanence of Predator-Prey System with Stage Structure. Discrete & Continuous Dynamical Systems B, 4, 547-554.
https://doi.org/10.3934/dcdsb.2004.4.547

has been cited by the following article:

• TITLE: Qualitative Properties of Equilibrium Point in a Discrete Predator-Prey Model

  AUTHORS: Weijie Lin, Minhong Yang, Chenhao Sun, Kaiwen Guan, Xiaoliang Zhou

  KEYWORDS: Discrete Predator-Prey Model, Non-Hyperbolic Fixed Point, Node, Saddle Point

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.8, August 26, 2024

  ABSTRACT: In this paper, the dynamic properties of a discrete predator-prey model are discussed. The properties of non-hyperbolic fixed points and hyperbolic fixed points of the model are analyzed. First, by using the classic Shengjin formula, we find the existence conditions for fixed points of the model. Then, by using the qualitative theory of ordinary differential equations and matrix theory we indicate which points are hyperbolic and which are non-hyperbolic and the associated conditions.