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J-GLOBAL ID：201802271339749527   Reference number：18A1124245

Mathematical Analysis of the Stochastic Delayed Epidemic Models with Reinfection

再感染を考慮した確率的遅延伝染病モデルに関する数理解析

Author (1)： ISHIKAWA Masaaki (Yamaguchi Univ., Ube, JPN)
Material： Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications (CD-ROM)  (Proc ISCIE Int Symp Stoch Syst Theory Appl (CD-ROM))
Volume： 49th  Page： 147-152  Publication year： 2018 
JST Material Number： X0317B  ISSN： 2188-4749  Document type： Proceedings
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： Epidemiology ,...
Semi thesaurus term： Lyapunov theory ,...

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JST classification (2)： Numerical computation  (JE02000J) ,  Epidemiology  (GB03000E)

Reference (10)：

• [1] H. W. Hethcote: The mathematics of infectious diseases, SIAM Review, Vol.42, pp.599-653 (2000)
• [2] J. Arino, C. C. Mccluskey and P. V. D. Driessche: Global results for an epidemic model with vaccination that exhibits backward bifurcation, SIAM J. Appl. Math., Vol.64, pp.260-276 (2003)
• [3] L. J. S. Allen and P. V. D. Driessche: Stochastic epidemic models with a backward bifurcation, Mathematical Biosciences and Engineering, Vol. 3, pp.445-458 (2006)
• [4] Y. Xiao and S. Tang: Dynamics of infection with nonlinear incidence in a simple vaccination model, Vol.11, pp.4154-4163 (2010)
• [5] J. M. Tchuenche, S. A. Khamis, F. B. Agusto and S. C. Mpeshe: Optimal control and sensitivity analysis of an influenza model with treatment and vaccination, Acta Biotheor, Vol.59, pp.1-28 (2011)

Terms in the title (6)： 再感染 ,  確率 ,  遅延 ,  伝染 ,  モデル ,  数理解析