OPTIMAL CONTROL OF A DELAYED HIV MODEL

被引：16

作者：

Rodrigues, Filipe ^{[1
]}

Silva, Cristiana J. ^{[1
]}

Torres, Delfim F. M. ^{[1
]}

Maurer, Helmut ^{[2
]}

机构：

[1] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal

[2] Univ Munster, Inst Computat & Appl Math, D-48149 Munster, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 01期

关键词：

HIV; intracellular and pharmacological time delays; stability; qualitative investigation and simulation of models; optimal control; DYNAMICS IN-VIVO; COMBINED ANTICANCER THERAPY; MATHEMATICAL-ANALYSIS; INTRACELLULAR DELAY; IMMUNE-RESPONSES; VIRAL DYNAMICS; CLEARANCE RATE; TIME-DELAYS; INFECTION; STABILITY;

D O I：

10.3934/dcdsb.2018030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a model for the human immunodeficiency virus type 1 (HIV-1) infection with intracellular delay and prove the local asymptotical stability of the equilibrium points. Then we introduce a control function representing the efficiency of reverse transcriptase inhibitors and consider the pharmacological delay associated to the control. Finally, we propose and analyze an optimal control problem with state and control delays. Through numerical simulations, extremal solutions are proposed for minimization of the virus concentration and treatment costs.

引用

页码：443 / 458

页数：16

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