Abstract

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.

中文翻译：

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非线性密度相关死亡率的全局渐近稳定性Nicholson's蝇系统涉及多对时变延迟

摘要

在我们的文章中，研究了具有斑块结构的非线性密度依赖性死亡率Nicholson's蝇蝇系统，其中时滞是随时间变化的，并且是多对。基于波动引理和微分不等式技术，找到了一些足够的条件以确保所寻址模型的全局渐近稳定性。此外，提供了一个数值示例来说明所获得发现的可行性和有效性，即使当所考虑的模型退化为标量Nicholson的blow蝇方程时，我们的结果也是新的。