Publication: Dynamics of a new strain of the H1N1 influenza a virus incorporating the effects of repetitive contacts
1
Issued Date
2014-01-01
Resource Type
ISSN
17486718
1748670X
1748670X
Other identifier(s)
2-s2.0-84897474401
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Mahidol University
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SCOPUS
Bibliographic Citation
Computational and Mathematical Methods in Medicine. Vol.2014, (2014)
Suggested Citation
Puntani Pongsumpun, I. Ming Tang Dynamics of a new strain of the H1N1 influenza a virus incorporating the effects of repetitive contacts. Computational and Mathematical Methods in Medicine. Vol.2014, (2014). doi:10.1155/2014/487974 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/33463
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Title
Dynamics of a new strain of the H1N1 influenza a virus incorporating the effects of repetitive contacts
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Abstract
The respiratory disease caused by the Influenza A Virus is occurring worldwide. The transmission for new strain of the H1N1 Influenza A virus is studied by formulating a SEIQR (susceptible, exposed, infected, quarantine, and recovered) model to describe its spread. In the present model, we have assumed that a fraction of the infected population will die from the disease. This changes the mathematical equations governing the transmission. The effect of repetitive contact is also included in the model. Analysis of the model by using standard dynamical modeling method is given. Conditions for the stability of equilibrium state are given. Numerical solutions are presented for different values of parameters. It is found that increasing the amount of repetitive contacts leads to a decrease in the peak numbers of exposed and infectious humans. A stability analysis shows that the solutions are robust. © 2014 Puntani Pongsumpun and I-Ming Tang.