A Lyapunov Function For Logistic Equation On Time Scales

Abstract

In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales. By using proposed Lyapunov function, asymptotic stability conditions for the equilibrium solution of dynamic logistic equation have been investigated.

Keywords

• dynamic logistic equation
• lyapunov function
• stability
• time scales