In this paper, a three dimensional mathematical model for HTLV-1 infection with intracellular delay and immune activation delay is investigated. By applying the frequency domain approach, we show that time delays can destabilize the HAM/TSP equilibrium, leading to Hopf bifurcations and sta- ble or unstable periodic oscillations. At the end, numerical simulations are illustrated.
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Shamsara,E , Afsharnezhad,Z and Shamsara,J . (2017). A THREE DIMENSIONAL HTLV-1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS. Journal of Mahani Mathematical Research, 5(1), 33-50. doi: 10.22103/jmmrc.2017.1566
MLA
Shamsara,E , , Afsharnezhad,Z , and Shamsara,J . "A THREE DIMENSIONAL HTLV-1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS", Journal of Mahani Mathematical Research, 5, 1, 2017, 33-50. doi: 10.22103/jmmrc.2017.1566
HARVARD
Shamsara E, Afsharnezhad Z, Shamsara J. (2017). 'A THREE DIMENSIONAL HTLV-1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS', Journal of Mahani Mathematical Research, 5(1), pp. 33-50. doi: 10.22103/jmmrc.2017.1566
CHICAGO
E Shamsara, Z Afsharnezhad and J Shamsara, "A THREE DIMENSIONAL HTLV-1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS," Journal of Mahani Mathematical Research, 5 1 (2017): 33-50, doi: 10.22103/jmmrc.2017.1566
VANCOUVER
Shamsara E, Afsharnezhad Z, Shamsara J. A THREE DIMENSIONAL HTLV-1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS. J. Mahani Math. Res.. 2017;5(1):33-50. doi: 10.22103/jmmrc.2017.1566
