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A THREE DIMENSIONAL HTLV-1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 4، دوره 5، شماره 1، فروردین 2016، صفحه 33-50 اصل مقاله (144.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2017.1566 | ||
| نویسندگان | ||
| Elham Shamsara1؛ Zahra Afsharnezhad* 1؛ Jamal Shamsara2 | ||
| 1DEPARTMENT OF APPLIED MATHEMATICS, FACULTY OF MATHEMATICAL SCIENCES, FERDOWSI UNIVERSITY OF MASHHAD (FUM), MASHHAD, IRAN. | ||
| 2PHARMACEUTICAL RESEARCH CENTER, SCHOOL OF PHARMACY, MASHHAD UNIVERSITY OF MEDICAL SCIENCES, MASHHAD, IRAN. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| CTL response؛ Graphical Hopf bifurcation theorem؛ Fre- quency domain؛ Delay di erential equation؛ HTLV-1 infection | ||
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