麻疹数学模型解的有界性和稳定性。

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-01-31 DOI:10.5556/J.TKJM.52.2021.3367

B. S. Ogundare, J. Akingbade

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引用次数: 4

摘要

本文利用雅可比行列式的思想和Lyapunov第二方法，研究了麻疹感染确定性区隔数学模型解的渐近稳定性和全局渐近稳定性，建立了保证无病平衡点和地方性平衡点渐近稳定性的判据/条件。得到了基本繁殖数R_0。这项工作的结果补充了现有的工作，并为在开放人群中控制疾病提供了进一步的信息。

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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Boundedness and Stability Properties of Solutions of Mathematical Model of Measles.

In this paper, asymptotic stability and global asymptotic stability of solutions to a deterministic and compartmental mathematical model of measles infection is considered using the ideas of the Jacobian determinant as well as the second method of Lyapunov, criteria/conditions that guaranteed asymptotic stability of disease free equilibrium and endemic equilibrium were established. Also the basic reproductive number $R_0$ was obtained. The results in this work compliments existing work and provided further information in controlling the disease in an open population.

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来源期刊

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.