A stability theorem for equilibria of delay differential equations in a critical case with application to a model of cell evolution

IF 2.6 4区数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY

Mathematical Modelling of Natural Phenomena Pub Date : 2021-05-04 DOI:10.1051/MMNP/2021021

karim O. Amin, Irina Badralexi, A. Halanay, R. Mghames

引用次数: 3

Abstract

In this paper the stability of the zero equilibrium of a system with time delay is studied. The critical case of a multiple zero root of the characteristic equation of the linearized system is treated by applying a Malkin type theorem and using a complete Lyapunov-Krasovskii functional. An application to a model for malaria under treatment considering the action of the immune system is presented.

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临界情况下时滞微分方程平衡点的稳定性定理及其在细胞进化模型中的应用

本文研究了一类时滞系统的零平衡点的稳定性。应用Malkin型定理和完备的Lyapunov-Krasovskii泛函处理了线性化系统特征方程的多重零根的临界情况。在考虑免疫系统作用的疟疾治疗模型中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

5.20

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.