Leslie’s prey–predator model in discrete time

• 作者: S.K.Shoyimardonov U.A.Rozikov
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: POPULATION Leslie model fixed points PREY-PREDATOR discrete time
• 年，卷（期）: 2020,（6）
• 页码范围: 231-255
• 页数: 25页
• 分类号: O17

摘要

We consider the Leslie’s prey–predator model with discrete time.This model is given by a nonlinear evolution operator depending on five parameters.We show that this operator has two fixed points and define type of each fixed point depending on the parameters.Finding two invariant sets of the evolution operator,we study the dynamical systems generated by the operator on each invariant set.Depending on the parameters,we classify the dynamics between a predator and a prey of the Leslie’s model.