Stability for patch structure Nicholson’s blowflies systems involving distinctive maturation and feedback delays

Abstract

ABSTRACT This article explores a class of patch structure Nicholson’s blowflies systems involving nonlinear density-dependent mortality terms and multiple pairs of distinctive maturation and feedback delays. By utilising the fluctuation lemma and differential inequality techniques, a delay-dependent criterion on the global asymptotic stability of the addressed systems is established, which refines and complements some existing ones. In addition, the numerical simulations verify the efficacy and accuracy of the obtained findings.