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Long-time behavior of stochastic multimolecular reaction model

Author

Listed:
  • Huang, Zaitang
  • Cao, Junfei
  • Long, Guangqin

Abstract

In the paper, we focus on asymptotic behavior of a stochastic multimolecular reaction model. Our main goal is not only to prove the permanence of the reaction but also to estimate the polynomial convergence rate of the transition probability to an invariant probability measure. Our result gives a precise characterization of the rate with which the different powers of a test function converges in terms of the exponent. The rate of convergence is proved to be bounded above by any polynomial decay.

Suggested Citation

  • Huang, Zaitang & Cao, Junfei & Long, Guangqin, 2018. "Long-time behavior of stochastic multimolecular reaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 331-344.
    • Handle: RePEc:eee:phsmap:v:503:y:2018:i:c:p:331-344
    DOI: 10.1016/j.physa.2018.02.164
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    References listed on IDEAS

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    1. Barczy, Mátyás & Pap, Gyula, 2006. "Portmanteau theorem for unbounded measures," Statistics & Probability Letters, Elsevier, vol. 76(17), pages 1831-1835, November.
    2. Huang, Zaitang, 2017. "Positive recurrent of stochastic coral reefs model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 751-761.
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