Chaos control in a two prey and one predator system with predator switching

S Pal, M Hossain, S Samanta, N Pal - Advanced Computational and …, 2018 - Springer
Advanced Computational and Communication Paradigms: Proceedings of …, 2018Springer
Abstract Vance (Am. Nat. 112: 797–813, 1978) modeled a food web consisting of two prey
and one predator with competing prey species. Gilpin (Am. Nat. 113: 306–308, 1979)
explored that for biological feasible parameter values, Vance's model can produce chaotic
dynamics. In the present paper, we consider a modification of Vance's model by
incorporating predator switching into the model for the same set of parameter values
considered by Gilpin. We observe that if we increase switching intensity above a threshold …
Abstract
Vance (Am. Nat. 112:797–813, 1978) modeled a food web consisting of two prey and one predator with competing prey species. Gilpin (Am. Nat. 113:306–308, 1979) explored that for biological feasible parameter values, Vance’s model can produce chaotic dynamics. In the present paper, we consider a modification of Vance’s model by incorporating predator switching into the model for the same set of parameter values considered by Gilpin. We observe that if we increase switching intensity above a threshold value, then the system becomes stable from chaotic oscillations and enhances the persistence of the system.
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