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Engineering Mathematics Letters ISSN 2049-9337

Archives › Volume 2019 (2019)

Eng. Math. Lett. 2019 (2019), Article ID 1

The effect of immune responses in HCV disease progression

Amar Nath Chatterjee, Manaranjan Kumar Singh, Bikash Kumar

PDF (745.7 KB) https://doi.org/10.28919/eml/3992

Abstract

In this research article, the discreet role of Cytotoxic T Lymphocyte (CTL) during the Hepatitis C Virus infection has been studied. To explore the implications of the CTL responses, we have formulated a model considering the dynamics of the population of uninfected liver cells, infected liver cells, HCV and CTL responses. Since the actual incidence rate is probably not linear over the entire range of virus and uninfected liver cells. So, here we have assumed that there exists a saturation effect in disease transmission rate. We have analysed the model by both analytical as well as numerical approaches. We have found out the threshold condition that determines the existence and stability of the endemic equilibrium.

Published
5 January 2019
Volume
2019 (2019)
License
CC BY 3.0

Copyright © 2019 Amar Nath Chatterjee, Manaranjan Kumar Singh, Bikash Kumar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

A. N. Chatterjee, M. K. Singh, B. Kumar, The effect of immune responses in HCV disease progression, Eng. Math. Lett. 2019 (2019), 1. https://doi.org/10.28919/eml/3992

BibTeX
@article{Chatterjee2019,
  author  = {Chatterjee, Amar Nath and Singh, Manaranjan Kumar and Kumar, Bikash},
  title   = {The effect of immune responses in HCV disease progression},
  journal = {Eng. Math. Lett.},
  volume  = {2019},
  year    = {2019},
  pages   = {1},
  doi     = {10.28919/eml/3992}
}