The purpose of the paper is to use numerical analysis and optimisation tools developed for
applied mechanic research to suggest improved therapies to try and cure HIV infection. The …

Human immunodeficiency virus infection destroys the body immune system, increases the
risk of certain pathologies, damages body organs such as the brain, kidney, and heart, and …

Nonautonomous dynamics describes the qualitative behavior of evolutionary differential and
difference equations, whose right-hand side is explicitly time-dependent. Over recent years …

In this study we develop a mathematical modelling framework for linking the within-host and
between-host dynamics of infections with free-living pathogens in the environment. The …

The purpose of this work is to investigate an optimal control model of drug treatment of HIV
infection of CD4+ T-cells. The optimal controls represent the efficiency of drug treatment in …

This paper mainly targets to deduce an optimal treatment strategy for combined antiretroviral
drugs, which can maximize healthy CD4+ T cells level with minimum side effects and cost …

Most of previous studies investigated the optimal control of HIV infection at either within-host
or between-host level. However, the optimal treatment strategy for the individual may not be …

A new host-pathogen model is described that simulates HIV-MTB co-infection and treatment,
with the objective of testing treatment strategies. The model includes CD4+ and CD8+ T …

Our prime objective of the study is to exhibit the advantage to introduce a quadratic control in
place of linear control in a cost function to be minimized, and that is associated to an optimal …

In this work, we propose and investigate an ordinary differential equations model describing
the spread of COVID-19 in Cameroon. The model takes into account the asymptomatic …