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Mathematics 2015, 3(4), 1139-1170;

HIV vs. the Immune System: A Differential Game

Department of Mathematics, University of Padova, Via Trieste 63, Padova 35121, Italy
IOV-IRCCS, Via Gattamelata 64, Padova 35128, Italy
Author to whom correspondence should be addressed.
Academic Editor: Bruno Buonomo
Received: 17 July 2015 / Revised: 6 November 2015 / Accepted: 19 November 2015 / Published: 3 December 2015
(This article belongs to the Special Issue Optimal Control and Management of Infectious Diseases)
Full-Text   |   PDF [575 KB, uploaded 3 December 2015]   |  


A differential game is formulated in order to model the interaction between the immune system and the HIV virus. One player is represented by the immune system of a patient subject to a therapeutic treatment and the other player is the HIV virus. The aim of our study is to determine the optimal therapy that allows to prevent viral replication inside the body, so as to reduce the damage caused to the immune system, and allow greater survival and quality of life. We propose a model that considers all the most common classes of antiretroviral drugs taking into account different immune cells dynamics. We validate the model with numerical simulations, and determine optimal structured treatment interruption (STI) schedules for medications. View Full-Text
Keywords: mathematical modeling; human Immunodeficiency virus (HIV); acquired immunodeficiency syndrome (AIDS); differential games mathematical modeling; human Immunodeficiency virus (HIV); acquired immunodeficiency syndrome (AIDS); differential games

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Buratto, A.; Cesaretto, R.; Zamarchi, R. HIV vs. the Immune System: A Differential Game. Mathematics 2015, 3, 1139-1170.

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