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J-GLOBAL ID：201702279626632200   Reference number：17A0788862

Stability Analysis of the Stochastic SIR Model with Discrete Delay

離散的遅れをもつ確率的SIRモデルの安定性解析

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： 48th  Page： 146-152  Publication year： 2017 
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： *stability analysis ,...
Semi thesaurus term： *random noise ,...

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JST classification (2)： System and control theory in general  (IA02010H) ,  Physiology and pathogenicity of virus infection  (EG04042Y)

Reference (12)：

• [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] 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)
• [4] H. R. Joshi, Optimal control of an HIV immunology model, Optimal Control Applications and Methods, vol.23, pp.199-213 (2002)
• [5] G. Zaman, Y. H. Kang and I. H. Jung, Stability analysis and optimal vaccination of an SIR epidemic model, BioSystems, vol.93, pp.240-249 (2008)

Terms in the title (4)： 遅れ ,  確率 ,  SIRモデル ,  安定性解析