Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

IF 1.9 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematical & Computational Applications Pub Date : 2023-02-09 DOI:10.3390/mca28010024

Michael O. Opoku, E. N. Wiah, E. Okyere, A. L. Sackitey, E. K. Essel, S. Moore

引用次数: 2

Abstract

We present a Caputo fractional order mathematical model that describes the cellular infection of the Hepatitis B virus and the immune response of the body with Holling type II functional response. We study the existence of unique positive solutions and the local and global stability of virus-free and endemic equilibria. Finally, we present numerical results using the Adam-type predictor–corrector iterative scheme.

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乙型肝炎细胞感染Caputo分级病毒动力学的稳定性分析

我们提出了一个Caputo分数阶数学模型，该模型描述了乙型肝炎病毒的细胞感染和身体对Holling II型功能反应的免疫反应。我们研究了唯一正解的存在性以及无病毒和地方病平衡的局部和全局稳定性。最后，我们使用Adam型预测器-校正器迭代方案给出了数值结果。

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 & Computational Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

自引率

10.50%

发文量

审稿时长

12 weeks

期刊介绍： Mathematical and Computational Applications (MCA) is devoted to original research in the field of engineering, natural sciences or social sciences where mathematical and/or computational techniques are necessary for solving specific problems. The aim of the journal is to provide a medium by which a wide range of experience can be exchanged among researchers from diverse fields such as engineering (electrical, mechanical, civil, industrial, aeronautical, nuclear etc.), natural sciences (physics, mathematics, chemistry, biology etc.) or social sciences (administrative sciences, economics, political sciences etc.). The papers may be theoretical where mathematics is used in a nontrivial way or computational or combination of both. Each paper submitted will be reviewed and only papers of highest quality that contain original ideas and research will be published. Papers containing only experimental techniques and abstract mathematics without any sign of application are discouraged.