Bistability in a One-Dimensional Model of a Two-Predators-One-Prey Population Dynamics System

Sergey Kryzhevich; Viktor Avrutin; Gunnar Sӧderbacka

doi:10.1134/s1995080222020135

Bistability in a One-Dimensional Model of a Two-Predators-One-Prey Population Dynamics System

Abstract

In this paper, we study a classical two-predators-one-prey model. The classical model described by a system of three ordinary differential equations can be reduced to a one-dimensional bimodalmap. We prove that this map has at most two stable periodic orbits. Besides, we describe the bifurcation structure of the map. Finally, we describe a mechanism that leads to bistable regimes. Taking this mechanism into account, one can easily detect parameter regions where cycles with arbitrary high periods or chaotic attractors with arbitrary high numbers of bands coexist pairwise.

Citations

0

CrossRef
0

Web of Science
1

Scopus

Authors (3)

Cite as

Full text

download paper

downloaded 17 times

Publication version: Accepted or Published Version
DOI:: Digital Object Identifier (open in new tab) 10.1134/S1995080222020135
License: Copyright (2022 Pleiades Publishing, Ltd.)

full content of the article see on external site open in new tab

Keywords

Details

Category:

Articles

Type:

artykuły w czasopismach

Published in:

Lobachevskii Journal of Mathematics no. 42, pages 3486 - 3496,
ISSN: 1995-0802

Language:

English

Publication year:

2021

Bibliographic description:

Kryzhevich S., Avrutin V., Sӧderbacka G.: Bistability in a One-Dimensional Model of a Two-Predators-One-Prey Population Dynamics System// Lobachevskii Journal of Mathematics -Vol. 42,iss. 14 (2021), s.3486-3496

DOI: