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

作　　者：Weijie Lin Minhong Yang Chenhao Sun Kaiwen Guan Xiaoliang Zhou Weijie Lin;Minhong Yang;Chenhao Sun;Kaiwen Guan;Xiaoliang Zhou(School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China)

机构地区：[1]School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第8期2920-2927,共8页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Discrete Predator-Prey Model Non-Hyperbolic Fixed Point NODE Saddle Point 

分 类 号：O17[理学—数学]