文章基本信息

标题：Global asymptotic stability for a nonlinear density-dependent mortality Nicholson’s blowflies system involving multiple pairs of time-varying delays
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作者：Yanli Xu ; Qian Cao
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-14
DOI：10.1186/s13662-020-02569-1
出版社：Hindawi Publishing Corporation
摘要：In our article, a nonlinear density-dependent mortality Nicholson’s blowflies system with patch structure has been investigated, in which the delays are time-varying and multiple pairs. Based upon the fluctuation lemma and differential inequality techniques, some sufficient conditions are found to ensure the global asymptotic stability of the addressed model. Moreover, a numerical example is provided to illustrate the feasibility and effectiveness of the obtained findings, and our consequences are new even when the considered model degenerates to the scalar Nicholson’s blowflies equation.
关键词：Nicholson’s blowflies model;Global asymptotic stability;Multiple pairs of time-varying delay;Nonlinear density-dependent mortality term;Patch structure;