Optimal Antiviral Treatment Strategies of HBV Infection Model with Logistic Hepatocyte Growth | Zendy

Hassan Laarabi | Zendy; Abdelhadi Abta | Zendy; Mostafa Rachik | Zendy; Jamal Bouyaghroumni | Zendy

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Optimal Antiviral Treatment Strategies of HBV Infection Model with Logistic Hepatocyte Growth

Author(s) -

Hassan Laarabi,

Abdelhadi Abta,

Mostafa Rachik,

Jamal Bouyaghroumni

Publication year - 2013

Publication title -

isrn biomathematics

Language(s) - English

Resource type - Journals

ISSN - 2090-7702

DOI - 10.1155/2013/912835

Subject(s) - ode , context (archaeology) , optimal control , matlab , nonlinear system , logistic function , mathematics , transversality , hepatitis b , mathematical optimization , control theory (sociology) , hepatocyte , medicine , computer science , control (management) , virology , biology , physics , statistics , pure mathematics , artificial intelligence , paleontology , quantum mechanics , operating system , biochemistry , in vitro

This study considers an optimal therapy strategy for HBV infection by incorporating two controls laws into a previous hepatitis B viral infection model with logistic hepatocyte growth. Our goal is tomaximize the number of healthy cells and to minimize the cost of the therapy. In this context, the existence of an optimal control is proved. The optimal control is obtained by solving the optimality system which was composed of three nonlinear ODEs with initial conditions and three nonlinear adjoint ODEs with transversality conditions. The results were analysed and interpreted numerically using MATLAB.

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