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

Document Type : Research Paper

Authors

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

2 PHARMACEUTICAL RESEARCH CENTER, SCHOOL OF PHARMACY, MASHHAD UNIVERSITY OF MEDICAL SCIENCES, MASHHAD, IRAN.

Abstract

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.

Keywords

Journal of Mahani Mathematical Research
Volume 5, Issue 1
SPECIAL ISSUE FOR SELECTED PAPERS OF CONFERENCE ON DYNALMICAL SYSTEMS AND GEOMETRIC THEORIES, 11-12 DECEMBER 2016, MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN
January 2016
Pages 33-50

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History

  • Receive Date: 22 January 2017
  • Revise Date: 27 January 2017
  • Accept Date: 02 February 2017

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