Permanence for Leslie-Gower predator-prey system with feedback controls on time scales

Abstract

A novel feedback control of Leslie-Gower system on time scales is proposed in this paper. By using the time scale calculus theory, the permanence of the model is studied. Further, the influences of the feedback controls on the upper and lower bounds of prey and predator populations are also discussed. The work of this paper improves some research findings in recent years. Some illustrative examples and numerical simulation are employed to visually expound the current research findings.