A note on the global properties of an age-structured viral dynamic model with multiple target cell populations
Shaoli Wang1, Jianhong Wu, Libin Rong
1School of Mathematics and Statistics, Henan University, Kaifeng 475001, Henan, China.
Abstract:
Some viruses can infect different classes of cells. The age of infection can affect the dynamics of infected cells and viral production. Here we develop a viral dynamic model with the age of infection and multiple target cell populations. Using the methods of semigroup and Lyapunov function, we study the global asymptotic property of the steady states of the model. The results show that when the basic reproductive number falls below 1, the infection is predicted to die out. When the basic reproductive number exceeds 1, there exists a unique infected steady state which is globally asymptotically stable. The model can be extended to study virus dynamics with multiple compartments or coinfection by multiple types of viruses. We also show that under some scenarios the age-structured model can be reduced to an ordinary differential equation system with or without time delays.
More Related Videos
13:13Single-cell Quantitation of mRNA and Surface Protein Expression in Simian Immunodeficiency Virus-infected CD4+ T Cells Isolated from Rhesus macaques
Published on: September 25, 2018
12:21A Mouse Model for the Transition of Streptococcus pneumoniae from Colonizer to Pathogen upon Viral Co-Infection Recapitulates Age-Exacerbated Illness
Published on: September 28, 2022
Related Concept Videos
Population Growth
Modeling with Differential Equations
Exponential Equations for Modeling Growth
Size and Structure of Viral Genomes
Retrovirus Life Cycles
Viral Recombination
