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.