Dynamic analysis on a delayed nonlinear density-dependent mortality Nicholson's blowflies model

Abstract

This paper discusses a class of nonlinear density-dependent mortality Nicholson's blowflies equation with multiple pairs of time-varying delays. By utilising differential inequality techniques and the fluctuation lemma, a delay-independent criterion is gained to ensure the global asymptotic stability of the addressed model, which refines some previously known research. Finally, some numerical simulations are listed to show the validity of our methods.