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Stability and Bifurcation of an Epidemic Model with Saturated Treatment Function

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Computing and Intelligent Systems (ICCIC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 234))

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Abstract

In this paper, we studied an epidemic model with nonlinear incidence and treatment. We described and analyzed by elementary means of the model, a limited resource for treatment is proposed to understand the effect of the capacity for treatment. It is shown that a backward bifurcation will take place if the capacity is small. The dynamical behaviors of the SIR epidemic model with nonlinear incidence and treatment were also studied.

This work was supported by the National Natural Science Foundation of China (Grant No. 30970305).

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Author information

Authors and Affiliations

  1. College of Mathematics and Information Science, Wenzhou University, Wenzhou, China

    Jin Gao

  2. College of Life and Environmental Science, Wenzhou University, Wenzhou, China

    Min Zhao

Authors
  1. Jin Gao
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  2. Min Zhao
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Editor information

Editors and Affiliations

  1. Huazhong Normal University, 152 Luoyu Road, 430079, Wuhan, Hubei, China

    Yanwen Wu

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© 2011 Springer-Verlag Berlin Heidelberg

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Gao, J., Zhao, M. (2011). Stability and Bifurcation of an Epidemic Model with Saturated Treatment Function. In: Wu, Y. (eds) Computing and Intelligent Systems. ICCIC 2011. Communications in Computer and Information Science, vol 234. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24091-1_41

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  • DOI: https://doi.org/10.1007/978-3-642-24091-1_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24090-4

  • Online ISBN: 978-3-642-24091-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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