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两种基因类型的丙肝传染病混合模型的动力学分析

董亚丽 乔志琴

河北工业科技2017,Vol.34Issue(1):1-6,6.
河北工业科技2017,Vol.34Issue(1):1-6,6.DOI:10.7535/hbgykj.2017yx01001

两种基因类型的丙肝传染病混合模型的动力学分析

Dynamic analysis of mixture model about Hepatitis C Virus with two genetic types

董亚丽 1乔志琴1

作者信息

  • 1. 中北大学理学院,山西太原 030051
  • 折叠

摘要

Abstract

There are two clinical types of acute and chronic stages and two main genetic types of Hepatitis C Virus(HCV) in China.In order to study the effect of genetic of HCV,the mathematical model about the two genetic types of HCV within acute and chronic stages are established,and the corresponding existence and stability of equilibrium are analyzed.The results show that the strain with the larger reproduction number persists for a long time and the other strain dies out;if and only if two strains have the same reproduction number,the coexistence may occur.The correctness of this conclusion is verified by numerical simulation.So it is necessary to classify patients with different genetic types in medicine.

关键词

稳定性理论/丙肝/基因类型/急性感染/慢性感染/基本再生数

Key words

stability theory/Hepatitis C Virus(HCV)/genetic types/acute infection/chronic infection/the basic reproduction number

分类

数理科学

引用本文复制引用

董亚丽,乔志琴..两种基因类型的丙肝传染病混合模型的动力学分析[J].河北工业科技,2017,34(1):1-6,6.

基金项目

国家自然科学基金(11401541) (11401541)

博士学科点专项科研基金(20111420120006) (20111420120006)

河北工业科技

OACSTPCD

1008-1534

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