A THREE DIMENSIONAL HTLV-1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS

نویسندگان

  • ELHAM SHAMSARA DEPARTMENT OF APPLIED MATHEMATICS, FACULTY OF MATHEMATICAL SCIENCES, FERDOWSI UNIVERSITY OF MASHHAD (FUM), MASHHAD, IRAN.
  • JAMAL SHAMSARA PHARMACEUTICAL RESEARCH CENTER, SCHOOL OF PHARMACY, MASHHAD UNIVERSITY OF MEDICAL SCIENCES, MASHHAD, IRAN.
  • ZAHRA AFSHARNEZHAD DEPARTMENT OF APPLIED MATHEMATICS, FACULTY OF MATHEMATICAL SCIENCES, FERDOWSI UNIVERSITY OF MASHHAD (FUM), MASHHAD, IRAN.
چکیده

In this paper, a three dimensional mathematical model for HTLV-1infection with intracellular delay and immune activation delay is investigated.By applying the frequency domain approach, we show that time delays candestabilize the HAM/TSP equilibrium, leading to Hopf bifurcations and sta-ble or unstable periodic oscillations. At the end, numerical simulations areillustrated.

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عنوان ژورنال:

دوره 5  شماره 1

صفحات  33- 50

تاریخ انتشار 2017-02-22

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