STABILITY ANALYSIS AND OPTIMAL CONTROL OF MATHEMATICAL MODEL FOR THE SPREAD OF HEPATITIS E

被引：1

作者：

Sholikah, Maratus ^{[1
]}

Alfiniyah, Cicik ^{[1
]}

Miswanto ^{[1
]}

机构：

[1] Univ Airlangga, Fac Sci & Technol, Dept Math, Surabaya 60115, Indonesia

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2020年

关键词：

mathematical model; hepatitis E; treatment; virus extermination; stability; optimal control; E VIRUS; PREGNANT-WOMEN; DYNAMICS; INFECTION; DISEASES; MALARIA;

D O I：

10.28919/cmbn/4744

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Hepatitis E disease is caused by hepatitis E virus (HEV). The transmission of hepatitis E from feces to the mouth is mainly through contaminated water and food. This paper proposes the dynamics of HEV transmission through a mathematical model. We analyze stability of equilibria point of the model. In addition, we analyze parameter sensitivity to determine the important role of every single parameter value on the model. Furthermore, we impose treatment and virus extermination on the model as strategy control to reduce HEV transmission. The simulation results indicate that the performance of two controls is effective to minimize the number of infected human and reduce the number of viruses in the environment.

引用

页数：24

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