Dynamics of a new strain of the H1N1 influenza a virus incorporating the effects of repetitive contacts

Pongsumpun, Puntani; Tang, I. Ming

doi:10.1155/2014/487974

Dynamics of a new strain of the H1N1 influenza a virus incorporating the effects of repetitive contacts

Author(s)

Pongsumpun, Puntani

Tang, I. Ming

Date Issued

January 1, 2014

Type

Article

DOI

10.1155/2014/487974

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.

Citation

Computational and Mathematical Methods in Medicine, 2014, 2014