Qualitative Analysis of a Retarded Mathematical Framework with Applications to Living Systems

CarloBianca; MassimilianoFerrara; LucaGuerrini

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Qualitative Analysis of a Retarded Mathematical Framework with Applications to Living Systems

机译：迟滞数学框架的定性分析及其在生命系统中的应用

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This paper deals with the derivation and the mathematical analysis of an autonomous and nonlinear ordinary differential-based framework. Specifically, the mathematical framework consists of a system of two ordinary differential equations: a logistic equation with a time lag and an equation for the carrying capacity that is assumed here to be time dependent. The qualitative analysis refers to the stability analysis of the coexistence equilibrium and to the derivation of sufficient conditions for the existence of Hopf bifurcations. The results are of great interest in living systems, including biological and economic systems.

机译：本文研究了基于自治和非线性常微分的框架的推导和数学分析。具体而言，数学框架由两个常微分方程组组成：带时滞的对数方程和此处假设的随时间变化的承载力方程。定性分析是指对共存平衡的稳定性分析，以及对存在Hopf分支的充分条件的推导。研究结果对包括生物和经济系统在内的生物系统非常感兴趣。

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《Abstract and applied analysis》 |2013年第14期|共7页
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CarloBianca; MassimilianoFerrara; LucaGuerrini;
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中图分类数学分析;
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Qualitative Analysis of a Retarded Mathematical Framework with Applications to Living Systems

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