A Viral Infection Model with Lytic Immune Response and Periodic Medication Strategy
Bao dan Tian, Shou ming Zhong, Liu Yang, Xian qing Liu
Bao dan Tian
Available Online August 2013.
- 10.2991/icacsei.2013.92How to use a DOI?
- VFPS, threshold, globally attractive, permanent .
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.
- © 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 -