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

Author:

Ishikawa Masaaki1

Affiliation:

1. Graduate School of Sciences and Technology for Innovation, Yamaguchi University

Publisher

The Institute of Systems, Control and Information Engineers

Subject

General Medicine

Reference14 articles.

1. [1] H. W. Hethcote: The mathematics of infectious diseases, SIAM Review, Vol.42, pp.599-653 (2000)

2. [2] J. D. Murray: Mathematical biology I, II, Springer (2003)

3. [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. [4] Y. Xiao and S. Tang: Dynamics of infection with nonlinear incidence in a simple vaccination model, Vol.11, pp.4154-4163 (2010)

5. [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).

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