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J-GLOBAL ID：201902213977774335   Reference number：19A2292425

On the Stability Analysis of the Stochastic Age-structured Infectious Model

確率年齢構成感染モデルの安定性解析について
Author (1)：
ISHIKAWA Masaaki

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(Yamaguchi Univ., Ube, JPN)

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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))

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Volume： 50th  Page： 111-116  Publication year： 2019 
JST Material Number： X0317B  ISSN： 2188-4749  Document type： Proceedings
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)
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*constitution

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Lyapunov stability theory

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JST classification (3)：
JST classification
Category name(code) classified by JST.
Public health 
(GB02000X)

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,  Diagnostics of infectious diseases,parasitic diseases. 
(GD01020S)

About Diagnostics of infectious diseases,parasitic diseases.

,  System design and analysis 
(IA02030D)

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Reference (15)：
  • [1] H. W. Hethcote: The mathematics of infectious diseases, SIAM Review, Vol.42, pp.599-653 (2000)
  • [2] J. D. Murray: Mathematical biology I, II, Springer (2003)
  • [3] 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)
  • [4] Y. Xiao and S. Tang: Dynamics of infection with nonlinear incidence in a simple vaccination model, Vol.11, pp.4154-4163 (2010)
  • [5] W. Ma, M. Song and Y. Takeuchi: Global stability of an SIR epidemic model with time delay, Applied Mathematics Letters, Vol.17, pp.1141-1145 (2004).
ｍore...
Terms in the title (4)：
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確率

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, 
年齢構成

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, 
感染モデル

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, 
安定性解析

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