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

سال انتشار: 1395
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 511

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شناسه ملی سند علمی:

JR_KJMMRC-5-1_004

تاریخ نمایه سازی: 5 خرداد 1398

چکیده مقاله:

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.

کلیدواژه ها:

CTL response ، Graphical Hopf bifurcation theorem ، Fre- quency domain ، Delay di erential equation ، HTLV-1 infection

نویسندگان

ELHAM SHAMSARA

DEPARTMENT OF APPLIED MATHEMATICS, FACULTY OF MATHEMATICAL SCIENCES, FERDOWSI UNIVERSITY OF MASHHAD (FUM), MASHHAD, IRAN.

ZAHRA AFSHARNEZHAD

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.