Global Exponential Stability of Periodic Solutions for a Nicholson’s Blowflies Model with a Linear Harvesting Term

Abstract

In this paper, we study a generalized Nicholson's blowflies model with a line ar harvesting term, which is defined on the positive function space. Under proper conditions, we employ a novel proof to establish some criteria for the existence and global exponential stability of positive periodic solutions for this model. Moreover , we give an example and its numerical simulations to illustrate our main results.