Modelling immune system dynamics: the interaction of HIV and recombinant virus

Modelling immune system dynamics: the interaction of HIV and recombinant virus

We investigate the dynamical behavior of a mathematical model of HIV and recombinant rabies virus (RV), designed to infect only the lymphocytes previously infected by HIV. This model is described by five ordinary differential equations with two discrete delays. The effect of two time delays on stabili...

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Bibliographic Details
Main Authors: Ugnė Jankauskaitė, Olga Štikonienė
Format: Article
Language:English
Published: Vilnius University Press 2015-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
HIV model
Hopf bifurcation
delay differential equations
recombinant virus
stability
Online Access:https://www.journals.vu.lt/LMR/article/view/14924
Description
Summary:We investigate the dynamical behavior of a mathematical model of HIV and recombinant rabies virus (RV), designed to infect only the lymphocytes previously infected by HIV. This model is described by five ordinary differential equations with two discrete delays. The effect of two time delays on stability of the equilibria of the system has been studied. Stability switches and Hopf bifurcations when time delays cross through some critical values are found. Numerical simulations are performed to illustrate the theoretical results.
ISSN:0132-2818
2335-898X

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