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Global stability of a Leslie-Gower predator-prey model with feedback controls. (English) Zbl 1173.34333

Summary: The global stability of a unique interior equilibrium for a Leslie-Gower predator-prey model with feedback controls is investigated. The main result together with its numerical simulations shows that feedback control variables have no influence on the global stability of the Leslie-Gower model, which means that feedback control variables only change the position of the unique interior equilibrium and retain its global stability.

MSC:

34D23 Global stability of solutions to ordinary differential equations
Full Text: DOI

References:

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