Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)

Analysis of an SERIV Epidemic Model of Human Influenza

Authors
Lijuan Zhang, Yibin Zhao, Fuchang Wang
Corresponding Author
Lijuan Zhang
Available Online May 2017.
DOI
10.2991/ammsa-17.2017.19How to use a DOI?
Keywords
influenza H7N9; media coverage; vaccination; stability
Abstract

In this present paper a model with media coverage and vaccination is proposed on the spread of H7N9 influenza. We worked out the disease-free equilibrium and basic reproductive number by mathematical method and analyzed the sensitivity and uncertainty of the basic reproductive number by random sampling. At the same time, we also make some simulation on the stability of the disease-free equilibrium and the influence of the media coverage on the spread of the disease. These conditions can be used to gain important insights into the effect of media coverage and treatment on the prevention and control of influenza. The simulations are also conducted to confirm and extend the analytic results.

Copyright
© 2017, 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 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
Series
Advances in Intelligent Systems Research
Publication Date
May 2017
ISBN
978-94-6252-355-5
ISSN
1951-6851
DOI
10.2991/ammsa-17.2017.19How to use a DOI?
Copyright
© 2017, 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  - Lijuan Zhang
AU  - Yibin Zhao
AU  - Fuchang Wang
PY  - 2017/05
DA  - 2017/05
TI  - Analysis of an SERIV Epidemic Model of Human Influenza
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 87
EP  - 92
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.19
DO  - 10.2991/ammsa-17.2017.19
ID  - Zhang2017/05
ER  -