Leslie’s prey–predator model in discrete time-Reference-Cited by-同舟云学术

Leslie’s prey–predator model in discrete time

Published:2020-07-15 Issue:06 Volume:13 Page:2050053
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

Rozikov U. A.¹^ORCID,Shoyimardonov S. K.²^ORCID

Affiliation:

1. V.I.Romanovskiy Institute of Mathematics, 81, Mirzo Ulug’bek Street, 100125 Tashkent, Uzbekistan

2. Department of Higher Mathematics, Tashkent University of Information Technologies, Named After Muhammad Al-Khwarizmi, Tashkent, Uzbekistan

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524520500539

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