Pseudo-almost periodicity on a Nicholson’s blowflies model involving multiple iterative terms

This paper focuses on the investigation of a class of non-autonomous Nicholson’s blowflies models incorporating multiple iterative terms. Through the construction of suitable invariant sets and the integration of differential inequality techniques with the Banach fixed point theorem, the existence and uniqueness of positive pseudo-almost periodic solutions for the proposed model are rigorously demonstrated. These results not only refine but also generalize the relevant findings in the existing literature. To validate the theoretical outcomes, a specific numerical example is provided, effectively illustrating the correctness and practical applicability of the obtained results.