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- W2889246061 abstract "The stability of the predator–prey model subject to the Allee effect is an interesting topic in recent times. In this paper, we investigate the impact of weak Allee effect on the stability of a discrete-time predator–prey model with Holling type-IV functional response. The mathematical features of the proposed model are analyzed with the help of equilibrium analysis, stability analysis, and bifurcation theory. We provide sufficient conditions for the flip bifurcation by considering Allee parameter as the bifurcation parameter. We observe that the model becomes stable from chaotic dynamics as the Allee parameter increases. Further, we observe bi-stability behavior of the model between only prey existence equilibrium and the coexistence equilibrium. Our analytical findings are illustrated through numerical simulations." @default.
- W2889246061 created "2018-09-07" @default.
- W2889246061 creator A5050706821 @default.
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- W2889246061 date "2018-10-01" @default.
- W2889246061 modified "2023-10-02" @default.
- W2889246061 title "Chaos control in a discrete-time predator–prey model with weak Allee effect" @default.
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- W2889246061 doi "https://doi.org/10.1142/s1793524518500894" @default.
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