[HTML][HTML] Mathematical simulations and sensitivity visualization of fractional order disease model describing human immunodeficiency

MA Ullah, N Raza, T Nazir - Alexandria Engineering Journal, 2024 - Elsevier
In this study, we explore a mathematical model of human immunodeficiency virus type 1
(HIV-1) infection in CD4+ T-cells, considering fractional-order dynamics in the Caputo …

Effect of cellular reservoirs and delays on the global dynamics of HIV

AM Elaiw, EK Elnahary, AA Raezah - Advances in Difference Equations, 2018 - Springer
We investigate general HIV infection models with three types of infected cells: latently
infected cells, long-lived productively infected cells, and short-lived productively infected …

Stability and computational results for chemical kinetics reactions in enzyme

M Sivashankar, S Sabarinathan, H Khan… - Journal of Mathematical …, 2024 - Springer
Kinetic chemical reactions find applications across various fields. In industrial processes,
they drive the production of essential materials like fertilizers and pharmaceuticals. In …

Modeling the dynamics of viral infections in presence of latently infected cells

K Hattaf, H Dutta - Chaos, Solitons & Fractals, 2020 - Elsevier
The study aims to develop a new mathematical model in order to explain the dynamics of
viral infections in vivo such as HIV infection. The model includes three classes of cells, takes …

Analysis of HIV models with two time delays

A Alshorman, X Wang, M Joseph Meyer… - Journal of biological …, 2017 - Taylor & Francis
Time delays can affect the dynamics of HIV infection predicted by mathematical models. In
this paper, we studied two mathematical models each with two time delays. In the first model …

[HTML][HTML] The effects of CTL immune response on HIV infection model with potent therapy, latently infected cells and cell-to-cell viral transmission

T Guo, Z Qiu - Mathematical Biosciences and Engineering, 2019 - aimspress.com
In this paper, a mathematical model is formulated to investigate the effect of cytotoxic T
lymphocyte (CTL) immune response on human immunodeficiency virus (HIV) infection …

Mathematical analysis and dynamic active subspaces for a long term model of HIV

T Loudon, S Pankavich - arXiv preprint arXiv:1604.04588, 2016 - arxiv.org
Recently, a long-term model of HIV infection dynamics was developed to describe the entire
time course of the disease. It consists of a large system of ODEs with many parameters, and …

Qualitative analysis of a generalized virus dynamics model with both modes of transmission and distributed delays

K Hattaf, N Yousfi - International Journal of Differential …, 2018 - Wiley Online Library
We propose a generalized virus dynamics model with distributed delays and both modes of
transmission, one by virus‐to‐cell infection and the other by cell‐to‐cell transfer. In the …

Stability of a general reaction-diffusion HIV-1 dynamics model with humoral immunity

AD AlAgha, AM Elaiw - The European Physical Journal Plus, 2019 - Springer
This paper studies the global stability of a six-dimensional system of PDEs that describes the
HIV-1 dynamics with humoral immune response and heterogeneous diffusion. The model …

[HTML][HTML] Stability analysis of a diffusive HTLV-2 and HIV-1 co-infection model

AM Elaiw, EA Almohaimeed, AD Hobiny - Alexandria Engineering Journal, 2025 - Elsevier
Co-infections between human immunodeficiency virus type 1 (HIV-1) and human T-
lymphotropic virus type 2 (HTLV-2) are more common, particularly among injection drug …