PROBING A STOCHASTIC EPIDEMIC HEPATITIS C VIRUS MODEL WITH A CHRONICALLY INFECTED TREATED POPULATION

作     者：S.P.RAJASEKAR M.PITCHAIMANI Quanxin ZHU S.P.RAJASEKAR;M.PITCHAIMANI;朱全新

作者机构：Ramanujan Institute for Advanced Study in MathematicsUniversityof MadrasChennai-600005Tamil NaduIndia Department of MathematicsGovernment Arts College for WomenNilakottai-624202Tamil NaduIndia CHP-LCOCSSchool of Mathematics and StatisticsHunan Normal UniversityChangsha 410081China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2022年第42卷第5期

页      面：2087-2112页

核心收录：

学科分类：1004[医学-公共卫生与预防医学(可授医学、理学学位)] 07[理学] 070104[理学-应用数学] 100401[医学-流行病与卫生统计学] 0701[理学-数学] 10[医学] 

基　　金：jointly supported by National Natural Science Foundation of China(62173139) the Science and Technology Innovation Program of Hunan Province(2021RC4030) Hunan Provincial Science and Technology Project Foundation(2019RS1033) the Science and Engineering Research Board(SERB)of India(EEQ/2021/001003) 

主　　题：infeted chroniclly infeted treated hepatitis Cextinction stationary distributior 

摘      要：The hepatitis C virus is hitherto a tremendous threat to human beings,but many researchers have analyzed mathematical models for hepatitis C virus transmission dynamics only in the deterministic *** plays an immense role in pathology and ***,the main theme of this article is to investigate a stochastic epidemic hepatitis C virus model with five states of epidemiological classification:susceptible,acutely infected,chronically infected,recovered or removed and chronically infected,and *** stochastic hepatitis C virus model in epidemiology is established based on the environmental influence on individuals,is manifested by stochastic perturbations,and is proportional to each *** assert that the stochastic HCV model has a unique global positive solution and attains sufficient conditions for the extinction of the hepatotropic RNA ***,by constructing a suitable Lyapunov function,we obtain sufficient conditions for the existence of an ergodic stationary distribution of the solutions to the stochastic HCV ***,this article confirms that using numerical simulations,the six parameters of the stochastic HCV model can have a high impact over the disease transmission dynamics,specifically the disease transmission rate,the rate of chronically infected population,the rate of progression to chronic infection,the treatment failure rate of chronically infected population,the recovery rate from chronic infection and the treatment rate of the chronically infected ***,numerical simulations validate the effectiveness of our theoretical conclusions.