JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (1): 128-134.doi: 10.6040/j.issn.1671-9352.0.2015.001

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The stability of stochastic SIQS epidemic model with saturated incidences

LIN Qing-teng, WEI Feng-ying*   

  1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, China
  • Received:2015-01-12 Online:2016-01-16 Published:2016-11-29

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Abstract: A kind of stochastic SIQ epidemic model with saturated incidences is investigated. By using of the stop time and Ito formula, the existence-and-uniqueness of global positive solution for the model is obtained. By constructing suitable Lyapunov function, the exponential stability and ergodicity of the solution are derived under some moderate conditions. And numerical simulations are carried out to illustrate our results.

Key words: stability, Ito formula, equilibrium point, epidemic model

CLC Number: 

  • O211
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