An SIRS Epidemiological Model with Nonlinear Incidence Rate Incorporating Media Coverage

  title={An SIRS Epidemiological Model with Nonlinear Incidence Rate Incorporating Media Coverage},
  author={Jianhua Pang and Jingan Cui},
  journal={2009 Second International Conference on Information and Computing Science},
In this paper, an SIRS epidemiological model with nonlinear incidence rate incorporating media coverage is investigated and the threshold of the existence of various equilibria are found. By means of constructing Dulac function and combing with the local stability of the corresponding linear system, one can verify that the disease-free equilibrium is globally asymptotically stable if the reproduction number R0 is less than unity, and the endemic equilibrium is globally asymptotically when it… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 17 references

The Effect of Constant and Pulse Vaccination on SIS Epidemic Models Iincorporating Media Coverage

  • Y. Li, J. Cui
  • Commun Nonlinear Sci Numer Simulat, vol. 14, 2009…
  • 2009
1 Excerpt

An SIS Epidemiological model Incorporating Media Coverage

  • J. Cui, X. Tao, H. Zhu
  • Rocky Mountain Journal of mathematics, vol. 28…
  • 2008
1 Excerpt

Differential Susceptibility Timedependent SIR Epidemic Model

  • T. Zhang, J. Liu, Z. Teng
  • International Journal of Biomathematics, vol. 1…
  • 2008

The Impact of Media Coverage on The Dynamics of Infectious Disease

  • Y. Liu, J. Cui
  • International J. Biomath,
  • 2008
1 Excerpt

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