Analysis of stochastic multimolecular biochemical reaction model with lévy jumps

Miaomiao Gao and Daqing Jiang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 524, issue C, 601-613

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.

Keywords: Stochastic biochemical reaction model; lévy jumps; Lyapunov function; Positive recurrence (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:524:y:2019:i:c:p:601-613

DOI: 10.1016/j.physa.2019.04.218

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