A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay

RV Culshaw, S Ruan, G Webb - Journal of mathematical biology, 2003 - Springer
delay differential equation model with a discrete delay, namely, system (2.3). Notice that the
model … instability in this delay model where none exists in the non-delay model indicates that …

[HTML][HTML] Mathematical analysis and numerical solution of a model of HIV with a discrete time delay

AJ Arenas, G González-Parra, JJ Naranjo, M Cogollo… - Mathematics, 2021 - mdpi.com
… a mathematical model based on a set of delay differential equations that describe intracellular
HIV … In Section 2, we present the mathematical model of HIV within-host with discrete time …

Mathematical analysis of delay differential equation models of HIV-1 infection

PW Nelson, AS Perelson - Mathematical biosciences, 2002 - Elsevier
Mathematical modeling has proven to be valuable in understanding the dynamics of HIV-1 …
In this paper, we extend the development of delay models of HIV-1 infection and treatment to …

A model of HIV-1 infection with two time delays: mathematical analysis and comparison with patient data

KA Pawelek, S Liu, F Pahlevani, L Rong - Mathematical Biosciences, 2012 - Elsevier
… we incorporate time delays into mathematical models to study virus dynamics. … mathematical
properties of the solutions of the two-delay model, and provides more information for model

Nonlinear effects in the dynamics of HIV-1 infection predicted by mathematical model with multiple delays.

N Pertsev, K Loginov… - Discrete & Continuous …, 2020 - search.ebscohost.com
model which is novel as compared to the existing models mentioned … mathematical model
of primary HIV-1 infection, built according to [F1-F8]. In sections 2, 3 the set of the model delay

Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model

PK Roy, AN Chatterjee, D Greenhalgh… - Nonlinear Analysis: Real …, 2013 - Elsevier
… In this paper we propose and analyse a mathematical model of HIV-1 infection to CD4 + T
… Note that there exists a finite time lag or delay in the process of disease transmission. Also it …

[HTML][HTML] HIV treatment models with time delay

M Bachar, A Dorfmayr - Comptes …, 2004 - comptes-rendus.academie-sciences …
… time delays, we model the latency period and the delayed … behaviour of the delay
differential-equation model are analysed … delay are presented, and the results are discussed in …

[HTML][HTML] Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease

A Raza, A Ahmadian, M Rafiq, S Salahshour… - Advances in Difference …, 2020 - Springer
… of the HIV/AIDS epidemic model with a time delay effect in the human population. In our model,
\(N… of delayed mathematical modeling plays a significant role in the dynamics of epidemic …

A model of HIV-1 pathogenesis that includes an intracellular delay

PW Nelson, JD Murray, AS Perelson - Mathematical biosciences, 2000 - Elsevier
… has enhanced progress in the understanding of HIV-1 infection. The introduction of … HIV-1
dynamics in infected individuals. Using mathematical models to interpret clinical data from HIV-…

A delay-differential equation model of HIV infection of CD4+ T-cells

RV Culshaw, S Ruan - Mathematical biosciences, 2000 - Elsevier
… In the last decade, many mathematical models have been developed to describe … model
is a system of three delay-differential equations. To determine the dynamics of the delay model, …