A THREE DIMENSIONAL HTLV-1 MODEL WITH INTRACELLULAR AND IMMUNE ACTIVATION DELAYS
Publish place: Journal of Mahani Mathematical Research، Vol: 5، Issue: 1
Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_KJMMRC-5-1_004
تاریخ نمایه سازی: 5 خرداد 1398
Abstract:
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.
Keywords:
CTL response , Graphical Hopf bifurcation theorem , Fre- quency domain , Delay di erential equation , HTLV-1 infection
Authors
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.