In vivo HIV dynamics, modeling the interaction of HIV and immune system via non-integer derivatives

A Jan, HM Srivastava, A Khan, PO Mohammed… - Fractal and …, 2023 - mdpi.com
The economic burden of HIV extends beyond the individual level and affects communities
and countries. HIV can lead to decreased economic growth due to lost productivity and …

Optimal control of a fractional-order HIV-immune system with memory

Y Ding, Z Wang, H Ye - IEEE Transactions on Control Systems …, 2011 - ieeexplore.ieee.org
The fact that fractional-order models possess memory leads to modeling a fractional-order
HIV-immune system. We discuss the necessary conditions for the optimality of a general …

Fractional-calculus analysis of human immunodeficiency virus and CD4+ T-cells with control interventions

R Jan, S Boulaaras, SAA Shah - Communications in Theoretical …, 2022 - iopscience.iop.org
It is undeniable that HIV infection has been a censorious public health concern over the past
four decades. It is reported that HIV is the main reason for AIDs which has decimated the …

A dynamical model of asymptomatic carrier zika virus with optimal control strategies

MA Khan, SW Shah, S Ullah… - Nonlinear Analysis: Real …, 2019 - Elsevier
A dynamical model of asymptomatic carrier zika virus model with optimal control strategies is
presented. The basic model zika without control and basic mathematical results are …

Mathematical analysis of a virus dynamics model with general incidence rate and cure rate

K Hattaf, N Yousfi, A Tridane - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
The rate of infection in many virus dynamics models is assumed to be bilinear in the virus
and uninfected target cells. In this paper, the dynamical behavior of a virus dynamics model …

[PDF][PDF] Global stability of the viral dynamics with Crowley-Martin functional response

X Zhou, J Cui - Bulletin of the Korean Mathematical Society, 2011 - researchgate.net
It is well known that the mathematical models provide very important information for the
research of human immunodeciency virus type. However, the infection rate of almost all …

Optimal control of a delayed HIV infection model with immune response using an efficient numerical method

K Hattaf, N Yousfi - International Scholarly Research Notices, 2012 - Wiley Online Library
We present a delay‐differential equation model with optimal control that describes the
interactions between human immunodeficiency virus (HIV), CD4+ T cells, and cell‐mediated …

A robust study to conceptualize the interactions of CD4+ T-cells and human immunodeficiency virus via fractional-calculus

TQ Tang, Z Shah, R Jan, W Deebani… - Physica Scripta, 2021 - iopscience.iop.org
It is eminent that the infection of HIV is a censorious problem to public health for the last forty
years. This viral infection is the cause of Acquired Immunodeficiency Virus (AIDS) which …

Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

S Boulaaras, R Jan, A Khan, A Allahem… - Communications in …, 2024 - iopscience.iop.org
In the last forty years, the rise of HIV has undoubtedly become a major concern in the field of
public health, imposing significant economic burdens on affected regions. Consequently, it …

A fractional perspective on the dynamics of hiv, considering the interaction of viruses and immune system with the effect of antiretroviral therapy

TQ Tang, R Jan, H Ahmad, Z Shah, N Vrinceanu… - Journal of Nonlinear …, 2023 - Springer
HIV infection is a worldwide health threat, necessitating a multifaceted strategy that includes
prevention, testing, treatment and care. Moreover, it is essential to address the structural and …