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In this paper, we study the classical two-predators-one-prey model. The classical model described by a system of 3 ordinary differential equations can be reduced to a one-dimensional bimodal map. We… Click to show full abstract
In this paper, we study the classical two-predators-one-prey model. The classical model described by a system of 3 ordinary differential equations can be reduced to a one-dimensional bimodal map. We prove that this map has at most two stable periodic orbits. Besides, we describe the structure of bifurcations of the map. Finally, we describe a mechanism that yields bistable regimes. We find several areas of bistability numerically.
Keywords:
two predators;
one dimensional;
predators one;
one prey;
model
Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2021
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Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!