Global stability of a Leslie–Gower predator–prey model with feedback controls

In this work 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.