Global dynamic behaviors for a delayed Nicholson's blowflies model with a linear harvesting term

Abstract

In this paper, we study a generalized Nicholson's blowflies model with a linear harvesting term, which is defined on the positive function space. Under proper conditions, we employ a novel proof to establish some criteria for the global dynamic behaviors on existence of positive solutions, permanence, and exponential stability of the zero equilibrium point for this model. Moreover, we give two examples and their numerical simulations to illustrate our main results.

Keywords

• nicholson's blowflies model
• linear harvesting term
• positive solution
• permanence
• exponential stability