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2022 Novel Results on Persistence and Attractivity of Delayed Nicholson's Blowflies System with Patch Structure
Weiping Fan, Jian Zhang
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Taiwanese J. Math. Advance Publication 1-27 (2022). DOI: 10.11650/tjm/220803


This paper is concerned with the dynamic characteristics of a class of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays. We aim to find the influence of the distinct time-varying delays in the same reproductive function on its asymptotic behavior. First, we derive the global existence, positiveness and uniform persistence of solutions for the addressed system. Then, by employing the theory of functional differential equations, the fluctuation lemma and the technique of differential inequalities, we build up some new delay-dependent criteria for the global attractivity of the positive equilibrium point vector, which does not possess the same components. In addition, we exam the effectiveness and feasibility of the theoretical achievements by some numerical simulations.

Funding Statement

This work was supported by the Jiaxing public welfare research program of China (No. 2022AD30113).


We would like to thank the editor and reviewers, whose valuable suggestions helped us elaborate and improve the paper.


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Weiping Fan. Jian Zhang. "Novel Results on Persistence and Attractivity of Delayed Nicholson's Blowflies System with Patch Structure." Taiwanese J. Math. Advance Publication 1 - 27, 2022.


Published: 2022
First available in Project Euclid: 16 August 2022

Digital Object Identifier: 10.11650/tjm/220803

Primary: 34C25 , 34K13 , 34K25

Keywords: distinct time-varying delay , global attractivity , Nicholson's blowflies system , patch structure , positive equilibrium point

Rights: Copyright © 2022 The Mathematical Society of the Republic of China


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