Global properties of an age-structured virus model with saturated antibody-immune response, multi-target cells, and general incidence rate

Some viruses, such as human immunodeficiency virus, can infect several types of cell populations. The age of infection can also affect the dynamics of infected cells and the production of viral particles. In this work, we study a virus model with infection age and different types of target cells tha...

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Bibliographic Details
Published inBoletín de la Sociedad Matemática Mexicana Vol. 27; no. 1
Main Authors Avila-Vales, Eric, Pérez, Ángel G. C.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.03.2021
Springer Nature B.V
Subjects
Age
Antibodies
HIV
Human immunodeficiency virus
Immune system
Infections
Mathematics
Mathematics and Statistics
Original Article
Viruses
Multiple compartments
92D30
Immune response
Non-linear incidence rate
Global stability
Age structure
37B25
35M30
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Summary:Some viruses, such as human immunodeficiency virus, can infect several types of cell populations. The age of infection can also affect the dynamics of infected cells and the production of viral particles. In this work, we study a virus model with infection age and different types of target cells that takes into account the saturation effect in antibody-immune response and a general non-linear infection rate. We construct suitable Lyapunov functionals to show that the global dynamics of the model is completely determined by two parameters: the basic reproduction number of virus and the reproductive number of antibody response.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-021-00315-5