Art

J-GLOBAL ID：201902289460043923   Reference number：19A0184774

Stability Analyses of the Stochastic Delayed Infectious Models with Reinfection

再感染を伴う確率的遅延感染モデルの安定性解析

Author (1)： ISHIKAWA Masaaki (Yamaguchi Univ., Yamaguchi, JPN)
Material： システム制御情報学会論文誌  (Transactions of the Institute of Systems, Control and Information Engineers)
Volume： 32  Issue： 1  Page： 1-7  Publication year： Jan. 2019 
JST Material Number： L0070A  ISSN： 1342-5668  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *experimental disease ,...
Semi thesaurus term： Lyapunov theory ,...

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JST classification (2)： System models  (IB02000Z) ,  Infectious immunity  (ED03030P)

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; Nonlinear Analysis: Real World Applications, Vol. 11, pp. 4154-4163 (2010)
• [5] H. R. Joshi: Optimal control of an HIV immunology model; Optimal Control Applications and Methods, Vol. 23, pp. 199-213 (2002)

Terms in the title (5)： 再感染 ,  確率 ,  遅延 ,  感染モデル ,  安定性解析