Global attractivity of positive periodic solution of a delayed Nicholson model with nonlinear density-dependent mortality term

Son, Doan Thai and Van Hien, Le and Anh, Trinh Tuan: Global attractivity of positive periodic solution of a delayed Nicholson model with nonlinear density-dependent mortality term. Electronic journal of qualitative theory of differential equations 8. pp. 1-21. (2019)

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Abstract

This paper is concerned with the existence, uniqueness and global attractivity of positive periodic solution of a delayed Nicholson’s blowflies model with nonlinear density-dependent mortality rate. By some comparison techniques via differential inequalities, we first establish sufficient conditions for the global uniform permanence and dissipativity of the model. We then utilize an extended version of the Lyapunov functional method to show the existence and global attractivity of a unique positive periodic solution of the underlying model. An application to the model with constant coefficients is also presented. Two numerical examples with simulations are given to illustrate the efficacy of the obtained results.

Item Type: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2019
Number: 8
Page Range: pp. 1-21
ISSN: 1417-3875
DOI: https://doi.org/10.14232/ejqtde.2019.1.8
Uncontrolled Keywords: Matematikai modell
Additional Information: Bibliogr.: p. 18-21. ; összefoglalás angol nyelven
Date Deposited: 2019. May. 31. 06:37
Last Modified: 2019. May. 31. 06:37
URI: http://acta.bibl.u-szeged.hu/id/eprint/58109

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