Caputo Fractional Order Nonlinear Incidence HIV Infection Model with Optimal Control

被引：0

作者：

Yaro, David ^{[1
]}

Akuamoah, Saviour Worlanyo ^{[2
]}

Gyamerah, Samuel Asante ^{[3
]}

Mahama, Francois ^{[2
]}

Asabre, Ebenezer ^{[2
]}

机构：

[1] Cape Coast Tech Univ, Sch Appl Sci & Technol, POB DL 50, Cape Coast, Ghana

[2] Ho Tech Univ, Math & Stat, POB HP 217, Ho, Ghana

[3] Toronto Metropolitan Univ, Dept Math, Toronto, ON, Canada

来源：

CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 04期

关键词：

caputo fractional differential equations; stability; sensitivity; optimal control; numerical solutions; CD4(+) T-CELLS; DIFFERENTIAL-EQUATIONS;

D O I：

10.37256/cm.5420245562

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Examining mathematical models is a crucial aspect of research in comprehending the dynamics and managing the transmission of Human Immunodeficiency Virus (HIV). This study presents a Caputo fractional order HIV infection model with optimal control. We demonstrate that this model exhibits solutions that are always nonnegative. Additionally, we provide a comprehensive examination of the elasticity of both zero disease and viral-persistence equilibrium location. We also delve into the numerical method proposed by Atanackovic and Stanckovic for solving Generalized Inverse Method and provide numerical simulations to validate the findings.

引用

页码：5828 / 5846

页数：19

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