%A Shuangshuang LIANG, Linfei NIE, Lin HU %T Analysis of vector-borne infectious disease model with age-structured and horizontal transmission %0 Journal Article %D 2021 %J Journal of East China Normal University(Natural Science) %R 10.3969/j.issn.1000-5641.2021.03.006 %P 47-55 %V 2021 %N 3 %U {https://xblk.ecnu.edu.cn/CN/abstract/article_25894.shtml} %8 2021-05-25 %X

Considering the prevalence of variations in virus strains and the age of infection, a vector-borne infectious disease model with latent age and horizontal transmission is proposed. An exact expression for the basic reproduction number, ${\cal R} _0 $ , is given, which characterizes the existence of the disease-free equilibrium and the endemic equilibrium for this model. Next, by using a combination of linear approximation methods, constructing suitable Lyapunov functions, LaSalle invariance principles, and other methods, we prove that if ${\cal R}_0 <1 $ , then the disease-free equilibrium has global asymptotic stability, and the disease will eventually become extinct; if ${\cal R}_0>1$ , then the endemic equilibrium is globally asymptotically stable, and the disease will continue to form an endemic disease.