Virus dynamics and drug therapy

Ali Alsalameh

Master of Mathematics Project

Autumn 2014


This project analyzes virus dynamics and anti-drug therapy. A mathematical model has been developed to study the dynamics of a virus population. It consists of three differential equations, which model the interactions that control the dynamic behaviour of the uninfected cells, the infected cells and the viral particles. The steady-states and their stability are investigated. The behaviour of the basic model of virus dynamics for small and large values of time have been examined. We analysed models for anti-viral drug therapy assuming that the drug is 100% effective. The model equations have been solved and the solutions used to analyze the number of virus particles during the first two days.

The basic model of virus dynamics can be extended to include long-lived cells. We considered a model with virus-producing cells, latently infected cells and cells harbouring defective virus.

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Last Updated: 1st July 2014.