An age-structured epidemic model with waning immunity and general nonlinear incidence rate  

作　　者：Xia Wang Ying Zhang Xinyu Song 

机构地区：[1]College of Mathematics and Statistics Xinyang Normal University Xinyang 464000, P. R. China

出　　处：《International Journal of Biomathematics》2018年第5期175-199,共25页生物数学学报（英文版）

摘　　要：In this paper, a susceptible-vazcinated-exposed-infectious-recovered epidemic model with waning immunity and continuous age structures in vaccinated, exposed and infectious classes has been formulated. By using the Fluctuation lemma and the approach of Lyapunov functionals, we establish a threshold dynamics completely determined by the basic reproduction number. When the basic reproduction number is less than one, the disease-free steady state is globally asymptotically stable, and otherwise the endemic steady state is globally asymptotically stable.

关 键 词：Age-structure epidemic model nonlinear incidence rate basic reproduction number global stability Lyapunov functional. 

分 类 号：S435.651[农业科学—农业昆虫与害虫防治] S858.315.3[农业科学—植物保护]