Open AccessModelling immune system dynamics: the interaction of HIV and recombinant virus
Author(s) -
Ugnė Jankauskaitė,
Olga Štikonienė
Publication year - 2015
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.a.2015.06
Subject(s) - hopf bifurcation , stability (learning theory) , human immunodeficiency virus (hiv) , virus , recombinant dna , dynamics (music) , virology , immune system , rabies virus , mathematics , control theory (sociology) , physics , classical mechanics , biology , computer science , bifurcation , immunology , genetics , quantum mechanics , artificial intelligence , control (management) , nonlinear system , machine learning , gene , acoustics
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.