Qualitative analysis of a stochastic SEITR epidemic model with multiple stages of infection and treatment  

作　　者：Olusegun Michael Otunuga Mobolaji O.Ogunsolu 

机构地区：[1]Department of Mathematics,Marshall University,One John Marshall Drive,Huntington,WV,USA [2]Department of Mathematics and Statistics,University of South Florida,4202,E Fowler Ave,Tampa,Fl,USA

出　　处：《Infectious Disease Modelling》2020年第1期61-90,共30页传染病建模（英文）

摘　　要：We present a mathematical analysis of the transmission of certain diseases using a stochastic susceptible-exposed-infectious-treated-recovered(SEITR)model with multiple stages of infection and treatment and explore the effects of treatments and external fluctuations in the transmission,treatment and recovery rates.We assume external fluctuations are caused by variability in the number of contacts between infected and susceptible individuals.It is shown that the expected number of secondary infections produced(in the absence of noise)reduces as treatment is introduced into the population.By defining RT,n and R T,n as the basic deterministic and stochastic reproduction numbers,respectively,in stage n of infection and treatment,we show mathematically that as the intensity of the noise in the transmission,treatment and recovery rates increases,the number of secondary cases of infection increases.The global stability of the disease-free and endemic equilibrium for the deterministic and stochastic SEITR models is also presented.The work presented is demonstrated using parameter values relevant to the transmission dynamics of Influenza in the United States from October 1,2018 through May 4,2019 influenza seasons.

关 键 词：SUSCEPTIBLE INFECTION Treatment Recovery Stochastic epidemic model Stability Reproduction number 

分 类 号：R18[医药卫生—流行病学]