Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)

A Viral Infection Model with Lytic Immune Response and Periodic Medication Strategy

Authors
Bao dan Tian, Shou ming Zhong, Liu Yang, Xian qing Liu
Corresponding Author
Bao dan Tian
Available Online August 2013.
DOI
10.2991/icacsei.2013.92How to use a DOI?
Keywords
VFPS, threshold, globally attractive, permanent .
Abstract

In this paper, a viral infection SVI model with lytic immune response is studied. What’s more, in order to control the quantity of the virus population, periodic medication strategy is introduced to the classical SVI model. By some mathematical analysis techniques, an important threshold R0 is found for the system. It is proved that the virus-free periodic solution (VFPS for short) is globally attractive if R0 1, while the virus will be permanent if R0 1. Finally, numerical simulation examples and discussions are presented to support our theoretical results.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)
Series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90-78677-74-1
ISSN
1951-6851
DOI
10.2991/icacsei.2013.92How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Bao dan Tian
AU  - Shou ming Zhong
AU  - Liu Yang
AU  - Xian qing Liu
PY  - 2013/08
DA  - 2013/08
TI  - A Viral Infection Model with Lytic Immune Response and Periodic Medication Strategy
BT  - Proceedings of the 2013 International Conference on Advanced Computer Science and Electronics Information (ICACSEI 2013)
PB  - Atlantis Press
SP  - 364
EP  - 367
SN  - 1951-6851
UR  - https://doi.org/10.2991/icacsei.2013.92
DO  - 10.2991/icacsei.2013.92
ID  - Tian2013/08
ER  -