Article
Optimal control in coupled within-host and between-host models
Mathematics Faculty Publications
Document Type
Article
Publication Date
1-1-2014
Abstract
We formulate an immuno-epidemiological model of coupled "within-host" model of ODEs and "between-host" model of ODE and PDE, using the Human Immunodeficiency Virus (HIV) for illustration. Existence and uniqueness of solution to the "between-host" model is established, and an explicit expression for the basic reproduction number of the "between-host" model derived. Stability of disease-free and endemic equilibria is investigated. An optimal control problem with drug-treatment control on the within-host system is formulated and analyzed; these results are novel for optimal control of ODEs linked with such first order PDEs. Numerical simulations based on the forward-backward sweep method are obtained. © EDP Sciences, 2014.
Citation Information
S. Anita, N. Hritonenko, G. Marinoschi, A. Swierniak, et al.. "Optimal control in coupled within-host and between-host models" (2014) Available at: http://works.bepress.com/natali-hritonenko/82/