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Delay‐dependent criteria on the global attractivity of Nicholson's blowflies model with patch structure
Author(s) -
Jia Renwei,
Long Zhiwen,
Yang Mingquan
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4299
Subject(s) - mathematics , lemma (botany) , ordinary differential equation , delay differential equation , mathematical analysis , differential equation , ecology , poaceae , biology
In this paper, we investigate the effect of delay on the asymptotic behavior of Nicholson's blowflies model with patch structure and multiple time‐varying delays. By using the fluctuation lemma and some differential inequality technique, delay‐dependent criteria are obtained for the global attractivity of the addressed system. Meanwhile, some numerical examples are given to illustrate the feasibility of the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd.