title: Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays.
abstract: This paper addresses the global existence and global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays. By using a novel approach, sufficient conditions are derived for the existence and global exponential convergence of positive solutions of the model without any restriction on uniform positiveness of the per capita dead rate. Numerical examples are provided to illustrate the effectiveness of the obtained results.
authors: a Department of Mathematics , Hanoi National University of Education , 136 Xuan Thuy Road, Hanoi , Vietnam.
authors: Le
authors: L
authors: Van Hien
mesh_terms: D000818:Animals; D007313:Insecta / Q000502:physiology*; D008954:Models, Biological; D013997:Time Factors
keywords: 34C27; 34K14; Nicholson's blowflies model; exponential convergence; positive solutions