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• W2406469130 startingPage "1065" @default.
• W2406469130 abstract "In this paper, we analyze a general predator-prey modelwith state feedback impulsive harvesting strategies in which the prey species displays a strongAllee effect. We firstly show the existence of order-$1$ heteroclinic cycle and order-$1$ positive periodic solutions by using the geometric theory of differential equations for the unperturbed system. Based on the theory of rotated vector fields, the order-$1$ positive periodic solutions and heteroclinic bifurcation are studied for the perturbed system. Finally, some numerical simulations are provided to illustrate our main results. All the results indicate that the harvesting rate should be maintained at a reasonable range to keep the sustainable development of ecological systems." @default.
• W2406469130 created "2016-06-24" @default.
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• W2406469130 date "2015-06-01" @default.
• W2406469130 modified "2023-09-28" @default.
• W2406469130 title "Heteroclinic bifurcation for a general predator-prey model with Allee effect and state feedback impulsive control strategy" @default.
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• W2406469130 doi "https://doi.org/10.3934/mbe.2015.12.1065" @default.
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