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Analysis of stochastic multimolecular biochemical reaction model with lévy jumps

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  • Gao, Miaomiao
  • Jiang, Daqing

Abstract

In this paper, a stochastic multimolecular biochemical reaction model with lévy jumps is investigated. Firstly, we prove the existence and uniqueness of the global positive solution. Then we derive the conditions when the reaction will end and when the reaction will proceed. Moreover, the existence of positive recurrence to the solutions is studied by constructing suitable Lyapunov functions. Results show that the end and persistence of the reaction are closely related to the intensity of lévy noise. Finally, numerical simulations are carried out to illustrate the theoretical results.

Suggested Citation

  • Gao, Miaomiao & Jiang, Daqing, 2019. "Analysis of stochastic multimolecular biochemical reaction model with lévy jumps," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 601-613.
    • Handle: RePEc:eee:phsmap:v:524:y:2019:i:c:p:601-613
    DOI: 10.1016/j.physa.2019.04.218
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    References listed on IDEAS

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