Advanced search ?

Object

Download

Title: A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation

Creator:

Kouche, Mahi´Eddine ; Ainseba, Bedr'Eddine

Date:

2010

Resource Type:

artykuł

Contributor:

Korbicz, Józef - red. ; Uciński, Dariusz - red.

Group publication title:

AMCS, Volume 20 (2010)

Abstract:

In this paper we derive a model describing the dynamics of HIV-1 infection in tissue culture where the infection spreads directly from infected cells to healthy cells trough cell-to-cell contact. We assume that the infection rate between healthy and infected cells is a saturating function of cell concentration. Our analysis shows that if the basic reproduction number does not exceed unity then infected cells are cleared and the disease dies out. Otherwise, the infection is persistent with the existence of an infected equilibrium. Numerical simulations indicate that, depending on the fraction of cells surviving the incubation period, the solutions approach either an infected steady state or a periodic orbit.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:46877

DOI:

10.2478/v10006-010-0045-z

Pages:

601-612

Source:

AMCS, Volume 20, Number 3 (2010) ; click here to follow the link

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

HIV/AIDS periodic oscillations persistence stability tissue culture

Object collections:

Last modified:

Sep 7, 2021

In our library since:

Aug 14, 2018

Number of object content hits:

115

All available object's versions:

https://zbc.uz.zgora.pl/publication/54972

Show description in RDF format:

RDF

Show description in OAI-PMH format:

OAI-PMH

Edition name Date
A mathematical model of HIV-1 infection including the saturation effect of healthy cell proliferation Sep 7, 2021

Objects

Similar
Rocznik Lubuski, 32
Rocznik Lubuski, 32

Ograniczenia i trudności w poradnictwie okołotestowym HIV

Walendzik-Ostrowska, Agnieszka Izdebski, Zbigniew (1956- ) - red.

2006
artykuł
Rocznik Lubuski, 32
Rocznik Lubuski, 32

Wiedza i poglądy młodzieży licealnej na temat zakażenia oraz zapobiegania HIV/AIDS

Szeląg, Halina Izdebski, Zbigniew (1956- ) - red.

2006
artykuł
AMCS, volume 10 (2000)
AMCS, volume 10 (2000)

On the dynamics of a chemostat model with delayed nutrient recycling

Fergola, Paolo Jiang, Liqiang Ma, Zhien Arino, Ovide - ed.

2000
artykuł

Rocznik Lubuski (t. 32, cz. 2): Seksualność człowieka obszary zainteresowań teoretyków i praktyków

Lew-Starowicz, Zbigniew Beisert, Maria (1951- ) Paprzycka, Emilia Środa, Magdalena Radomski, Dariusz Jarząbek, Grażyna Dulko, Stanisław Izdebski, Zbigniew (1956- ) Ostrowska, Antonina Mentlewicz, Anna Wąż, Krzysztof Bielski, Bohdan Felińska, Agnieszka Dec, Joanna Walendzik-Ostrowska, Agnieszka Szeląg, Halina

2006
czasopismo
AMCS, volume 10 (2000)
AMCS, volume 10 (2000)

Extinction, weak extinction and persistence in a discrete, competitive Lotka-Volterra model

Chan, David M. Franke, John E. Arino, Ovide - ed.

2000
artykuł
AMCS, volume 11 (2001)
AMCS, volume 11 (2001)

Measuring and maintaining consistency: A hybrid FTF algorithm

Bunch, James R. Le Borne, Richard C. Proudler, Ian K. Campbell, Stephen L. - ed.

2001
artykuł
AMCS, Volume 23 (2013)
AMCS, Volume 23 (2013)

On the dynamics of a vaccination model with multiple transmission ways

Liao, Shu Yang, Weiming Korbicz, Józef - red. Uciński, Dariusz - red.

2013
artykuł
AMCS, volume 19 (2009)
AMCS, volume 19 (2009)

Simple conditions for practical stability of positive fractional discrete-time linear systems

Busłowicz, Mikołaj Kaczorek, Tadeusz (1932- ) Korbicz, Józef - ed.

2009
artykuł
More

Contact details

Address

University Library
al. Wojska Polskiego 71
65-762 Zielona Góra

Phone

(+48) 68 328 21 55

E-Mail

kontakt@zbc.uz.zgora.pl

Cyprian Norwid Voivodeship and
City Public Library
al. Wojska Polskiego 9
65-077 Zielona Góra

(+48) 68 453 26 06

p.karp@biblioteka.zgora.pl

This page uses 'cookies'. More information