In vivo HIV dynamics, modeling the interaction of HIV and immune system via non-integer derivatives
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 …
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 …
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
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 …
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
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 …
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
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 …
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 …
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
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 …
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
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 …
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
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 …
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
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 …
prevention, testing, treatment and care. Moreover, it is essential to address the structural and …