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• W2528291852 abstract "This paper deals with the study of the stability and the bifurcation analysis of a Leslie-Gower predator-prey model with Michaelis-Menten type predator harvesting. It is shown that the proposed model exhibits the bistability for certain parametric conditions. Dulac’s criterion has been adopted to obtain the sufficient conditions for the global stability of the model. Moreover, the model exhibits different kinds of bifurcations (e.g., the saddle-node bifurcation, the subcritical and supercritical Hopf bifurcations, Bogdanov-Takens bifurcation, and the homoclinic bifurcation) whenever the values of parameters of the model vary. The analytical findings and numerical simulations reveal far richer and complex dynamics in comparison to the models with no harvesting and with constant-yield predator harvesting." @default.
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• W2528291852 date "2016-10-03" @default.
• W2528291852 modified "2023-10-18" @default.
• W2528291852 title "Qualitative Analysis of a Leslie-Gower Predator-Prey System with Nonlinear Harvesting in Predator" @default.
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• W2528291852 doi "https://doi.org/10.1155/2016/2741891" @default.
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