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Singular perturbation approach to stability of a SIRS epidemic system

✍ Scribed by Zhonghua Zhang; Yaohong Suo; Jigen Peng; Weihua Lin

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
888 KB
Volume
10
Category
Article
ISSN
1468-1218

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✦ Synopsis

In this paper, a new method named multiple time scales is introduced to estimate the domain of attraction of the endemic equilibrium point of J. Mena-lorca and H. W. Hethcote's SIRS model. Simultaneously, the recurrence formulae established by S. Balint, A. Balint and V. Negru are adopted to construct Lyapunov function for the reduced system. Furthermore, the stability for the non-hyperbolic equilibrium point of the reduced system is discussed. In the end, numerical simulations are carried out.

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