Modeling HIV persistence, the latent reservoir, and viral blips

L Rong, AS Perelson - Journal of theoretical biology, 2009 - Elsevier
HIV-1 eradication from infected individuals has not been achieved with the prolonged use of
highly active antiretroviral therapy (HAART). The cellular reservoir for HIV-1 in resting …

[HTML][HTML] Mathematical analysis of viral replication dynamics and antiviral treatment strategies: from basic models to age-based multi-scale modeling

C Zitzmann, L Kaderali - Frontiers in microbiology, 2018 - frontiersin.org
Viral infectious diseases are a global health concern, as is evident by recent outbreaks of
the middle east respiratory syndrome, Ebola virus disease, and re-emerging zika, dengue …

[HTML][HTML] Fractional modeling dynamics of HIV and CD4+ T-cells during primary infection

AAM Arafa, SZ Rida, M Khalil - Nonlinear biomedical physics, 2012 - Springer
In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4+ T cells.
We study the effect of the changing the average number of viral particles N with different sets …

Stability and bifurcation analysis of a fractional‐order model of cell‐to‐cell spread of HIV‐1 with a discrete time delay

S Abbas, S Tyagi, P Kumar, VS Ertürk… - … Methods in the …, 2022 - Wiley Online Library
In this manuscript, fractional order is introduced onto a time‐delay differential equation
model of cell‐to‐cell spread of HIV‐1. The fractional derivative of Caputo type is considered …

HIV populations are large and accumulate high genetic diversity in a nonlinear fashion

F Maldarelli, M Kearney, S Palmer, R Stephens… - Journal of …, 2013 - Am Soc Microbiol
ABSTRACT HIV infection is characterized by rapid and error-prone viral replication resulting
in genetically diverse virus populations. The rate of accumulation of diversity and the …

[HTML][HTML] Mathematical modeling and analysis of the dynamics of RNA viruses in presence of immunity and treatment: A case study of SARS-CoV-2

K Hattaf, MI El Karimi, AA Mohsen, Z Hajhouji… - Vaccines, 2023 - mdpi.com
The emergence of novel RNA viruses like SARS-CoV-2 poses a greater threat to human
health. Thus, the main objective of this article is to develop a new mathematical model with a …

Global stability for an HIV-1 infection model including an eclipse stage of infected cells

B Buonomo, C Vargas-De-León - Journal of Mathematical Analysis and …, 2012 - Elsevier
We consider the mathematical model for the viral dynamics of HIV-1 introduced in Rong et
al.(2007)[37]. One main feature of this model is that an eclipse stage for the infected cells is …

Study of HIV mathematical model under nonsingular kernel type derivative of fractional order

G Nazir, K Shah, A Debbouche, RA Khan - Chaos, Solitons & Fractals, 2020 - Elsevier
In this manuscript, we investigate existence theory as well as stability results to the biological
model of HIV (human immunodeficiency virus) disease. We consider the proposed model …

Stationary distribution and extinction of a stochastic HLIV model with viral production and Ornstein–Uhlenbeck process

Q Liu - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
In the past few decades, the human immunodeficiency virus (HIV), as a deadly pathogen,
has imposed great harmful effects on human health. In addition, from the viewpoint of the …

[HTML][HTML] A fractional-order model of HIV infection with drug therapy effect

AAM Arafa, SZ Rida, M Khalil - Journal of the Egyptian Mathematical …, 2014 - Elsevier
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