Positive almost periodic solution for competitive and cooperative Nicholson's blowflies system

Abstract

In this paper, we investigate a class of competitive and cooperative Nicholson's blowfly equations. By applying the Lyapunov functional and analysis technique, the conditions for the existence and exponential convergence of a positive almost periodic solution are derived. Moreover, an example and numerical simulation for justifying the theoretical analysis are also provided.

Keywords

• positive almost periodic solution
• exponential convergence
• nicholson's blowfly model
• m-matrix
• exponential dichotomy