On the existence of almost periodic solutions of impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms

Abstract

In this paper, by using the Mawhin's continuation theorem, some easily verifiable sufficient conditions are obtained to guarantee the existence of almost periodic solutions of impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms. Our result corrects the result obtained in [13]. An example and some remarks are given to illustrate the advantage of this paper.

Keywords

• mawhin's continuation theorem
• almost periodic solution
• impulsive differential equation
• lotka-volterra system