A FRACTIONAL DYNAMICS MODEL OF HEPATITIS B DISEASE SPREAD UNDER INFLUENCE OF CAMPAIGN AND TREATMENT

被引：0

作者：

Muhafzan ^{[1
]}

Narwen ^{[1
]}

机构：

[1] Andalas Univ, Fac Math & Nat Sci, Dept Math & Data Sci, Padang 25163, Indonesia

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2023年

关键词：

Caputo fractional-order derivative; SIR model; basic reproduction number; equilibrium; STABILITY;

D O I：

10.28919/cmbn/8085

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this work, we present a fractional dynamic model to describe the spread of Hepatitis B disease in human population under influence of campaign and treatment parameters. It was shown that the stability of disease-free equilibrium and disease endemic equilibrium depend on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the media campaigns and treatment increase susceptible subpopulations, reduce infectious ones, and increase recovered subpopulations, thus the model gives adequate information about the spread of the Hepatitis B virus.

引用

页数：10

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