Global asymptotic stability for Nicholson’s blowflies model with a nonlinear density-dependent mortality term

Abstract

In this paper, we study a generalized Nicholson’s blowflies model with a nonlinear density-dependent mortality term, which is defined on the nonnegative function space. Under proper conditions, we employ a novel proof to establish some criteria to guarantee the global asymptotic stability of the zero equilibrium point for this model. Moreover, we give an example and its numerical simulation to illustrate our main results.