The two-dimensional propagation of viruses through a "lawn" of receptive hosts, commonly called plaque growth, reflects the dynamics of interactions between viruses and host cells. Here we treat the amplification of viruses during plaque growth as a reaction-diffusion system, where interactions among the virus, uninfected host cells, and virus-producing host-virus complexes are accounted for us...

Abstract Dengue fever is an infectious viral fever. The complex behavior of the virus within body can be explained through mathematical models to understand virus’s dynamics. We propose two different with-in host dengue transmission with humoral immune response. proposed differ from one another because assumes that newly formed viruses infect healthy cells again. To dynamics models, we perform ...

Epstein-Barr virus (EBV) infects and can persist in a majority of people worldwide. Within an infected host, EBV targets two major cell types, B cells and epithelial cells, and viruses emerging from one cell type preferentially infect the other. We use mathematical models to understand why EBV infects epithelial cells when B cells serve as a stable refuge for the virus and how switching between...

CD8(+) cytotoxic T-lymphocytes (CTLs) perform a critical role in the immune control of viral infections, including those caused by human immunodeficiency virus type 1 (HIV-1) and hepatitis C virus (HCV). As a result, genetic variation at CTL epitopes is strongly influenced by host-specific selection for either escape from the immune response, or reversion due to the replicative costs of escape ...