On the Study Of Asymptotically Almost Periodic Solutions of a Class of Impulsive Population Models

Abstract

Based on the Mawhin continuous theorem, the existence of strictly positive asymptotically almost periodic solutions of a class of impulsive population models is studied. The conclusion generalizes the conclusion of the existing literatures. Since the Mawhin continuous theorem is only used to prove the existence of periodic solutions or almost periodic solutions of equations (for example:impulsive differential equation, functional differential equation, integral equation, Lienard equation, P-Laplacian equation), the main result is innovative.

Keywords

• impulsive population models
• asymptotically almost periodic solutions
• mawhin continuous theorem