Delay effect in the Nicholson's blowflies model with a nonlinear density-dependent mortality term

Delay effect in the Nicholson's blowflies model with a nonlinear density-dependent mortality term

This paper is concerned with a class of non-autonomous delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term. Under proper conditions, we prove that the positive equilibrium point is a global attractor of the addressed model with small delays. Moreover, some numerical...

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Bibliographic Details
Main Author: Wanmin Xiong
Format: Article
Language:English
Published: University of Szeged 2017-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
nicholson's blowflies model
nonlinear density-dependent mortality term
time-varying delay
global attractivity
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5643
Description
Summary:This paper is concerned with a class of non-autonomous delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term. Under proper conditions, we prove that the positive equilibrium point is a global attractor of the addressed model with small delays. Moreover, some numerical examples are given to illustrate the feasibility of the theoretical results.
ISSN:1417-3875
1417-3875

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