Mathematical Modeling and Optimal Control of an HIV/AIDS Transmission Model

被引：1

作者：

Boukary, Ouedraogo ^{[1
]}

Malicki, Zorom ^{[2
]}

Elisee, Gouba ^{[1
]}

机构：

[1] Univ Joseph KI ZERBO, Lab Anal Numer Informat & Biomath LANIBIO, 03 BP 7021, Ouagadougou, Burkina Faso

[2] Inst Int Ingn Eau & Environm 2iE, Lab Eaux Hydrosyst & Agr LEHSA, BP 594 Ouagadougou 01, Rue Sci, Ouagadougou, Burkina Faso

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2024年 / 22卷

关键词：

HIV/AIDS epidemiology; mathematical model; local and global stability; numerical results; Optimal control; STABILITY ANALYSIS; EPIDEMIC; DISEASE; HIV; VACCINATION; IMPACT;

D O I：

10.28924/2291-8639-22-2024-234

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we present a mathematical model for the transmission of HIV with the compartment of individuals in remission and vertical transmission describing the dynamics of the spread of the HIV/AIDS epidemic in a community. In the mathematical analysis of the model, we compute the basic reproduction number R 0 and study the existence and stability of the disease-free equilibrium point. We also formulate an appropriate optimal control problem and study the conditions necessary for disease control to determine the role of preventive measures and treatment in reducing the spread of HIV/AIDS. Indeed, we study the impact of these control variables taken separately and combined. So we find that treatment is more cost-effective in reducing the spread of HIV than preventive measures. Finally, the numerical results conform to the theoretical analysis.

引用

页数：25

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