A Kind of Improved Susceptible-Infected Model

DOI: 10.4236/mnsms.2013.34015   PDF   HTML   XML   2,283 Downloads   3,714 Views  


By analyzing the susceptible-infected model, susceptible-infected-recovered-susceptible model and susceptible infected-recovered model, we get the improved Kermachk-Mckendrick model. And by applying the controlled threshold value, we get the conditions of isolated rate for infectious disease eventually disappeared. 

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Q. Zhu, M. Liu, Q. Yu and Z. Wang, "A Kind of Improved Susceptible-Infected Model," Modeling and Numerical Simulation of Material Science, Vol. 3 No. 4, 2013, pp. 114-116. doi: 10.4236/mnsms.2013.34015.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] Y. X. Zhang, “Medical Statistics and Forecast,” China Science and Technology Press, Beijing, 1995.
[2] L. Yu, H. F. Xue and G. Li, “Research of Infectious Disease Transmission Model,” Computer Simulation, Vol. 24, No. 4, 2007, pp. 57-60.
[3] B. G. Wang, B. Qu and H. Q. Guo, “Mathematical Model of Infectious Disease Prediction,” Chinese Journal of Health Statistics, Vol. 24, No. 5, 2007, pp. 536-540.
[4] F. Chen, X. T. Wang and H. X. Zhu, “Mixed Index Cycle Model and Its Application in Seasonal Disease Analysis,” Journal of Nantong Medical College, Vol. 16, No. 3, 1996, pp. 301-303.
[5] W. H. Hu, “Grey Model Simulation of Four Types of Infectious Disease Incidence and Prediction in Chang sha,” Practical Prediction Method, Vol. 14, No. 4, 2007, pp. 1097-1100.
[6] C. H. Fu and G. S. Deng, “The Application of the Markov Chain in Forecasting,” Journal of Shenyang Normal University (Natural Science Edition), Vol. 1, 2009, pp. 28-31.
[7] X. Y. Zhao, “Infectious Diseases of Self-Organizing Neural Network Prediction Research,” Journal of Mathematical Medicine, Vol. 23, No. 4, 2012, pp. 379-383.

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