Back to Search Start Over

The effect of migration on the transmission of HIV/AIDS using a fractional model: Local and global dynamics and numerical simulations.

Authors :
Alla Hamou, A.
Azroul, E.
L'Kima, S.
Source :
Mathematical Methods in the Applied Sciences; 5/30/2024, Vol. 47 Issue 8, p6868-6891, 24p
Publication Year :
2024

Abstract

Human immunodeficiency virus (HIV) is a serious disease that threatens and affects capital stock, population composition, and economic growth. This research paper aims to study the mathematical modeling and disease dynamics of HIV/acquired immunodeficiency syndrome (AIDS) with memory effect. We propose two fractional models in the Caputo sense for HIV/AIDS with and without migration. First, we prove the existence and positivity of both models and calculate the basic reproduction number R0$$ {\mathcal{R}}_0 $$ using the next generation method. Then, we study the local and global stability of the obtained equilibria. In addition, numerical simulations are provided for different values of the fractional order ρ$$ \rho $$ using the Adams–Bashforth–Moulton fractional scheme, to verify the theoretical results. Moreover, a sensitivity analysis of the parameters for the model with migration is carried out. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
47
Issue :
8
Database :
Complementary Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
177083253
Full Text :
https://doi.org/10.1002/mma.9946