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- W4312414413 abstract "In mathematical biology, discrete time models governed by difference equations are more suitable to study the evolutionary growths of species or taxonomic group of organisms over the course of time. These discrete time population models are appropriate for non-overlapping generations and are suitable to analyse the nonlinear dynamics and their chaotic behaviour. In this research article, the complexity of intra species competition between two species with carrying capacity is investigated in discrete time, under the assumption that average growth rates in prey and predator populations change at regular intervals of time. The method of piecewise constant arguments for differential equations is implemented to obtain the discrete time counterpart of continuous case. Results related to uniform boundedness of solutions, and existence and uniqueness of positive fixed points are established. The parametric conditions for local asymptotic stability of fixed points are obtained. Also, the existence criteria and direction of flip bifurcation and hopf bifurcation are derived. Moreover, feedback control strategy is employed to control the chaos under the influence of bifurcations. To validate the analytical results, numerical illustrations are presented. The existence of chaos is confirmed from calculating Maximal Lyapunov Exponent." @default.
- W4312414413 created "2023-01-04" @default.
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- W4312414413 date "2022-01-01" @default.
- W4312414413 modified "2023-10-16" @default.
- W4312414413 title "Bifurcation and chaos in a prey predator model with intra-species competition" @default.
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- W4312414413 doi "https://doi.org/10.1063/5.0108426" @default.
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