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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.
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Authors (3)
-
Viktor Avrutin
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Gunnar Sӧderbacka
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- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1134/S1995080222020135
- License
- Copyright (2022 Pleiades Publishing, Ltd.)
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- 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:
- Digital Object Identifier (open in new tab) 10.1134/s1995080222020135
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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