山西大学学报（自然科学版）2024，Vol.47Issue(1)：122-133,12.DOI:10.13451/j.sxu.ns.2023080
具有Markov切换的随机基因表达调控模型
A Stochastic Gene Expression Regulation Model with Markov Switching
摘要
Abstract
Both white noise and Markov switching are introduced to study the dynamics of gene cooperative expression system.The random attraction set of the model is constructed based on the random comparison principle.The conclusion shows that the solution of the system is uniformly bounded under the influence of environmental noise.It is proved that the model has a unique ergodic sta-tionary distribution and the solution of the system is ergodic by constructing a suitable Lyapunov function.Some numerical simula-tions are carried out to support the results,and the numerical results show that the bistable phenomenon exists in the model studied,which is of great significance for the research of cell differentiation and other biological fields.关键词
布朗运动/保序系统/Markov链/随机吸引集/平稳分布Key words
Brownian motion/order-preserving system/Markov chain/random attracting set/stationary distribution分类
数理科学引用本文复制引用
闫博伦,唐若诗,邱志鹏..具有Markov切换的随机基因表达调控模型[J].山西大学学报（自然科学版）,2024,47(1):122-133,12.基金项目
国家自然科学基金(12071217) （12071217）
