World Academy of Science, Engineering and Technology
Published July 20, 2012 | Version 1303
Journal article Open

A New SIR-based Model for Influenza Epidemic

Creators

Description

In recent years, several severe large-scale influenza outbreaks happened in many countries, such as SARS in 2005 or H1N1 in 2009. Those influenza Epidemics have greatly impacts not only on people-s life and health, but medical systems in different countries. Although severe diseases are more experienced, they are not fully controlled. Governments have different policies to control the spreads of diseases. However, those policies have both positive and negative social or economical influence on people and society. Therefore, it is necessary and essential to develop an appropriate model for evaluations of policies. Consequently, a proper measure can be implemented to confront the diseases. The main goal of this study is to develop a SIR-based model for the further evaluations of the candidate policies during the influenza outbreaks.

Files

1303.pdf

Files (144.7 kB)

Name Size Download all
md5:b78aaa084abf85bb53cadb7e4c3adc50
144.7 kB Preview Download

Additional details

References

  • Franciszek Rakowski, Magdalena Gruziel, .ukasz Bieniasz-Krzywiec, Jan P. Radomski, "Influenza epidemic spread simulation for Poland - a large scale, individual based model study", Physica A, vol. 389, pp.3149-3165, 2010.
  • Tim Lant, Megan Jehn., Cody Christensen, Ozgur M. Araz, John W. Fowler. "Simulating pandemic influenza preparedness plans for a public university: a hierarchical system dynamics approach". Winter Simulation Conference, Proceedings of the 2008 Winter, pp.1305-1313, 2008
  • W. O. Kermack, A. G. M. , "A contribution to the Mathematical Theory of Epidemics", Proceedings of the Royal Society, Vol. 115, pp.700-721, 1927.
  • Ahmet Y─▒ld─▒r─▒m and Yves Cherruault, "Analytical approximate solution of a SIR epidemic model with constant vaccination strategy by homotopy perturbation method", Kybernetes, Vol. 38, No. 9, pp.1566-1575, 2009
  • B. Dybiec, "SIR model of epidemic spread with accumulated exposure", The European Physical Journal B, Vol. 67, pp. 377-383, 2009
  • Gul Zaman, Yong Han Kang, and Il Hyo Jung, "Optimal treatment of an SIR epidemic model with time delay", BioSystems, Vol. 98, pp.43-50, 2009.
  • Xinzhu Meng, Lansun Chen, Bo Wu, "A delay SIR epidemic model with pulse vaccination and incubation Times", Nonlinear Analysis: Real World Applications, Vol. 11, pp.88-98, 2010.
  • Xinzhu Meng, Lansun Chen, "The dynamics of a new SIR epidemic model concerning pulse vaccination strategy", Journal of Mathematical Analysis and Applications, Vol. 372, pp. 162-180, 2008
  • Xia Wang, Youde Tao, Xinyu Song, "Pulse vaccination on SEIR epidemic model with nonlinear incidence rate", Applied Mathematics and Computation, Vol. 210, pp.398- 404, 2009 [10] S. C. Chen, C. F. Chang, L. J. Jou and C. M. Liao, "Modelling vaccination programmes against measles in Taiwan ", Epidemiology and infection, Vol. 135, No. 5, pp.775-786, 2007 [11] Phenyo E. Lekone and B├ñrbel F. Finkenst├ñdt, "Statistical Inference in a Stochastic Epidemic SEIR Model and with Control Intervention: Ebola as a Case Study", Biometrics, Vol. 62, pp. 1170-1177,2006 [12] S.B Hsu and Y.H. Hsieh, "On the role of asymptomatic infection in transmission dynamics of infectious diseases", Bulletin of Mathematical Biology, Vol. 70, No. 1, pp. 134-155, 2008