Modelling immune system dynamics: the interaction of HIV and recombinant virus
Articles
Ugnė Jankauskaitė
Vilnius University
Olga Štikonienė
Vilnius University
http://orcid.org/0000-0002-0302-3449
Published 2015-12-23
https://doi.org/10.15388/LMR.A.2015.06
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Keywords

HIV model
Hopf bifurcation
delay differential equations
recombinant virus
stability

How to Cite

Jankauskaitė U. and Štikonienė O. (2015) “Modelling immune system dynamics: the interaction of HIV and recombinant virus”, Lietuvos matematikos rinkinys, 56(A), pp. 30-35. doi: 10.15388/LMR.A.2015.06.

Abstract

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.

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