Hybrid on-off controls for an hiv model based on a linear control problem

Tae Soo Jang, Jungeun Kim, Hee Dae Kwon, Jeehyun Lee

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider a model of HIV infection with various compartments, including target cells, infected cells, viral loads and immune effector cells, to describe HIV type 1 infection. We show that the proposed model has one uninfected steady state and several infected steady states and investigate their local stability by using a Jacobian matrix method. We obtain equations for adjoint variables and characterize an optimal control by applying Pontryagin’s Maximum Principle in a linear control problem. In addition, we apply techniques and ideas from linear optimal control theory in conjunction with a direct search approach to derive on-off HIV therapy strategies. The results of numerical simulations indicate that hybrid on-off therapy protocols can move the model system to a “healthy” steady state in which the immune response is dominant in controlling HIV after the discontinuation of the therapy.

Original languageEnglish
Pages (from-to)469-487
Number of pages19
JournalJournal of the Korean Mathematical Society
Volume52
Issue number3
DOIs
Publication statusPublished - 2015 Jan 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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