Global stability for age-infection-structured human immunodeficiency virus model with heterogeneous transmission.

Zhang, Juping; Wang, Linlin; Jin, Zhen

Zhang, Juping; Wang, Linlin; Jin, Zhen.

Afiliación

Zhang J; Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi, 030006, China.
Wang L; Shanxi Key Laboratory of Mathematical Techniques and Big Data Analysis on Disease Control and Prevention, Shanxi University, Taiyuan, Shanxi, 030006, China.
Jin Z; Complex Systems Research Center, Shanxi University, Taiyuan, Shanxi, 030006, China.

Infect Dis Model ; 9(2): 437-457, 2024 Jun.

Article en En | MEDLINE | ID: mdl-38385020

ABSTRACT

ABSTRACT

In this paper, we analyze the global asymptotic behaviors of a mathematical susceptible-infected(SI) age-infection-structured human immunodeficiency virus(HIV) model with heterogeneous transmission. Mathematical analysis shows that the local and global dynamics are completely determined by the basic reproductive number R0. If R0<1, disease-free equilibrium is globally asymptotically stable. If R0>1, it shows that disease-free equilibrium is unstable and the unique endemic equilibrium is globally asymptotically stable. The proofs of global stability utilize Lyapunov functions. Besides, the numerical simulations are illustrated to support these theoretical results and sensitivity analysis of each parameter for R0 is performed by the method of partial rank correlation coefficient(PRCC).

Palabras clave

Age-infection-structured; Basic reproductive number; Global stability; Lyapunov function; Sensitivity analysis

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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Idioma: En Revista: Infect Dis Model Año: 2024 Tipo del documento: Article País de afiliación: China Pais de publicación: China

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