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

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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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  -