Exponential convergence of a non-autonomous Nicholson's blowflies model with an oscillating death rate

Abstract

This paper is concerned with a non-autonomous delayed Nicholson's blowflies model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential convergence of the zero equilibrium point for this model. The obtained result improves and supplements existing ones. We also use numerical simulations to demonstrate our theoretical results.

Keywords

• nicholson's blowflies model
• global exponential convergence
• delay
• oscillating death rate