Delay effect in the Nicholson's blowflies model with a nonlinear density-dependent mortality term

Abstract

This paper is concerned with a class of non-autonomous delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term. Under proper conditions, we prove that the positive equilibrium point is a global attractor of the addressed model with small delays. Moreover, some numerical examples are given to illustrate the feasibility of the theoretical results.

Keywords

• nicholson's blowflies model
• nonlinear density-dependent mortality term
• time-varying delay
• global attractivity