A New Generalization of Nicholson'S Blowflies Delay Differential Equations

ABSTRACT This paper introduces a modified Nicholson's blowflies delay model with a harvesting term and a time‐dependent factor (), which reduces the influence of past population states over time. We establish the existence and uniqueness of mild solutions using Banach's fixed point theorem and also discuss the asymptotic stability of nonnegative solutions. Numerical examples and simulations are provided to demonstrate the effectiveness of the theoretical results.