2014/01/01 by Xiulan Lai, Xingfu Zou
Immunology and Microbiology · Mathematics · Medicine · #Basic reproduction number #Biology #COVID-19 epidemiological studies #Cell #Computer science #Dynamics (music) #Genetics #HIV Research and Treatment #Human immunodeficiency virus (HIV) #Mathematical and Theoretical Epidemiology and Ecology Models #Medicine #Physics #Population #Reproduction #Telecommunications #Transmission (telecommunications) #Virology #Virus
paper · doi:10.1137/130930145
crossref issued 2014/01/01 · crossref published 2014/01/01 · crossref published-print 2014/01/01 · openalex publication_date 2014/01/01 · crossref created 2014/06/24 · crossref deposited 2020/08/21 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/30
Direct cell-to-cell transfer of HIV-1 is found to be a more potent and efficient means of virus propagation than virus-to-cell infection. In this paper we propose a mathematical model to consider these two modes of viral infection and spread, in which infection age is also incorporated. By a rigorous analysis of the model, we show that the model demonstrates a global threshold dynamics, fully described by the basic reproduction number, which is identified explicitly. The formula for the basic reproduction number of our model reveals that the basic reproduction number of a model that neglects either cell-to-cell spread or virus-to-cell infection might be underevaluated.