Viral dynamics of an HIV model with pulse antiretroviral therapy and adherence

Abstract

An immunological model of HIV-1 infection that accounts for antiretroviral drug uptake via explicit compartments is considered. Different from traditional methods where the drug effects is modeled implicitly as a proportional inhibition of viral infection and production, in this paper, it is assumed that the CD4 + T cells can 'prey on' the antiretroviral drugs and become the cells which cannot be infected or produce new virions. Drug dymamics is modeled applying impulsive differential equations. The basic reproductive number R 0 is defined via the next infection operator. It is shown that with perfect adherence the virus can be eradicated permanently if R 0 is less than unity, otherwise, the virus can persist by applying persistent theory. The effects of imperfect adherence are also explored. The results indicate that even for the same degree of adherence, different adherence patterns may lead to different therapy outcomes. In particular, for regular dosage missing, the more dosages are consecutively missed, the worse therapy outcomes will be.

Dynamical Analysis and Optimal Control for a SEIR Model Based on Virus Mutation in WSNs

“…Therefore, it is urgent and important to study the transmission of mutated virus in WSNs based on the principle of epidemic dynamics [14,15]. Through the establishment of mutated virus propagation model, we can have a deeper understanding of the mutated virus propagation behavior in the network.…”