Permanence and uniform asymptotical stability of a ratio-dependent Leslie system with feedback controls on time scales

Abstract

Using time-scale calculus and construction of a suitable Lyapunov functional, the permanence and uniform asymptotical stability of a ratio-dependent Leslie model with feedback control on time scales are studied. The results of this paper extend some recent research results. An illustrative example with numerical simulations is employed to visually manifest the theoretical findings.