CONTROL DESIGN OF AN HIV-1 MODEL

被引：0

作者：

Rahmoun, Amel ^{[1
]}

Benmerzouk, Djamila ^{[1
]}

Ainseba, Bedr'Eddine ^{[2
]}

机构：

[1] Tlemcen Univ, Dept Math, BP 119, Tilimsen 13000, Algeria

[2] Univ Victor Segalen Bordeaux 2, UMR CNRS 52 51, Bordeaux Math Inst, Case 36,3 Ter Pl Victoire, F-33076 Bordeaux, France

来源：

RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI | 2020年 / 24卷 / 542期

关键词：

Mathematical biology; nonlinear systems; stabilization of systems by feedback; Lie derivatives; simulations; MATHEMATICAL-ANALYSIS; DYNAMICS; BIFURCATION; INFECTION;

D O I：

10.21857/yk3jwhx3j9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we formulate a dynamic mathematical model that describes the interaction of the immune system with the human immunodeficiency virus (HIV), combined with nonlinear continuous feedback control. The detailed computations of two linearizing inputs is presented. It results in the design of a first fully linearizable system and a second partially linearizable one. The proposed controllers have the ability to drive the system close to the healthy equilibrium state. Numerical simulations demonstrate them effectiveness by maintaining virus concentration in very low levels and healthy cells in satisfactory levels.

引用

页码：131 / 148

页数：18

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