Mathematical Analysis of Epidemiological Model of Influenza a (H1N1) Virus Transmission Dynamics in Perspective of Bangladesh

Authors

  • Rafiqul Islam Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203
  • Md Haider Ali Biswas Mathematics Discipline, Khulna University, Khulna-9208
  • ARM Jalal Uddin Jamali Department of Mathematics, Khulna University of Engineering & Technology, Khulna-9203

DOI:

https://doi.org/10.3329/ganit.v37i0.35724

Keywords:

Basic Reproduction Number, SEIR Model, Herd Immunity Threshold, Stability, Next Generation Matrix

Abstract

This study deals with transmission dynamics of novel influenza A (H1N1) virus to understand the evolution of its epidemic in Bangladesh. For this purpose an SEIR model has been employed to study the dynamics of A (H1N1) virus relating to data of Bangladesh. To find threshold conditions, the equilibria and stability of the equilibria of the model have been determined and also analyzed. Basic Reproductive Number (R0) is determined relating to data of Bangladesh by which Herd Immunity Threshold has been estimated. Our numerical result suggests that vaccinating 12.69% population of Bangladesh can control spread of the pandemic novel A (H1N1) virus when outbreak occurs.

GANIT J. Bangladesh Math. Soc.Vol. 37 (2017) 39-50

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Published

2018-02-20

How to Cite

Islam, R., Biswas, M. H. A., & Jamali, A. J. U. (2018). Mathematical Analysis of Epidemiological Model of Influenza a (H1N1) Virus Transmission Dynamics in Perspective of Bangladesh. GANIT: Journal of Bangladesh Mathematical Society, 37, 39–50. https://doi.org/10.3329/ganit.v37i0.35724

Issue

Vol. 37 (2017)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)