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Stability and Hopf Bifurcation Analysis of Hepatitis B Infection Model with CTL Response Delay

    Authors

    • M. Aniji 1
    • N. Kavitha 2
    • S. Balamuralitharan 3

    1 Research Scholar, University College of Engineering, Rajamadam, Pattukottai – 614 701, Thanjavur District, Tamil Nadu, India

    2 Assistant Professor, Department of Mathematics, University College of Engineering, Rajamadam, Pattukottai -614 701, Thanjavur District, Tamil Nadu, India

    3 Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur - 603 203, Chengalpattu District, Tamil Nadu, India

,

Document Type : Research Article

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Abstract

In this paper, the Hepatitis B Virus (HBV) infectious model with Cytotoxic T-Lymphocyte (CTL) response delay and its effect on the stability of equilibrium has been investigated. The boundedness and non-negativity solutions of the proposed model were verified. The local stability of virus-free equilibrium and the infected equilibrium were determined by the basic reproduction number R0. Further, the existence of Hopf bifurcation at the infected equilibrium of CTL response was also observed. Using different set of parameters, the empirical findings in the study are shown with numerical simulations.

Keywords

  • Bifurcation
  • CTL
  • Delay
  • HBV
  • mathematical modeling
  • stability
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European Journal of Molecular & Clinical Medicine
Volume 7, Issue 6
November 2020
Page 74-90
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  • Article View: 254
  • PDF Download: 356

APA

Aniji, M., Kavitha, N., & Balamuralitharan, S. (2020). Stability and Hopf Bifurcation Analysis of Hepatitis B Infection Model with CTL Response Delay. European Journal of Molecular & Clinical Medicine, 7(6), 74-90.

MLA

M. Aniji; N. Kavitha; S. Balamuralitharan. "Stability and Hopf Bifurcation Analysis of Hepatitis B Infection Model with CTL Response Delay". European Journal of Molecular & Clinical Medicine, 7, 6, 2020, 74-90.

HARVARD

Aniji, M., Kavitha, N., Balamuralitharan, S. (2020). 'Stability and Hopf Bifurcation Analysis of Hepatitis B Infection Model with CTL Response Delay', European Journal of Molecular & Clinical Medicine, 7(6), pp. 74-90.

VANCOUVER

Aniji, M., Kavitha, N., Balamuralitharan, S. Stability and Hopf Bifurcation Analysis of Hepatitis B Infection Model with CTL Response Delay. European Journal of Molecular & Clinical Medicine, 2020; 7(6): 74-90.

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