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Abstract In this paper, a stochastic multimolecular biochemical reaction model with levy jumps is investigated. Firstly, we prove the existence and uniqueness of the global positive solution. Then we derive… Click to show full abstract
Abstract In this paper, a stochastic multimolecular biochemical reaction model with levy 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 levy noise. Finally, numerical simulations are carried out to illustrate the theoretical results.
Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2019
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