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 …
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 …
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
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 …
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
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 …
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 …
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
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 …
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 …
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
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 …
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 …
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
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