Journal of Jilin University Science Edition

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tationary Distribution of Stochastic SIREpidemic Model and Its Stability

JIN Manli1,2, LIN Yuguo2   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, China;2. School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China
  • Received:2017-03-31 Online:2017-11-26 Published:2017-11-29
  • Contact: LIN Yuguo E-mail:yglinoa@163.com

Abstract: We considered a class of stochastic SIR epidemic models with saturated incidence. By using Markov semigroup theory, we proved that the system had a unique stable stationary distribution when Rs0>1.

Key words: asymptotic stability, Markov semigroup, saturated incidence, stationary distribution

CLC Number: 

  • O211.63