Leslie's prey-predator model in discrete time

被引：4

作者：

Rozikov, U. A. ^{[1
]}

Shoyimardonov, S. K. ^{[2
]}

机构：

[1] VI Romanovskiy Inst Math, 81 Mirzo Ulugbek St, Tashkent 100125, Uzbekistan

[2] Tashkent Univ Informat Technol, Dept Higher Math, Tashkent, Uzbekistan

来源：

INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2020年 / 13卷 / 06期

关键词：

Population; Leslie model; fixed points; prey-predator; discrete time; QUADRATIC STOCHASTIC OPERATORS; GOWER;

D O I：

10.1142/S1793524520500539

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

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.

引用

页数：25

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