随机负反馈酶促反应模型的动力学行为  

Dynamic behaviors of stochastic negative feedback enzyme catalysis model

作　　者：韩雨 李芳 杨颖 HAN Yu;LI Fang;YANG Ying(College of Mathematics,Changchun Normal University,Changchun 130123,China)

机构地区：[1]长春师范大学数学学院,长春130123

出　　处：《白城师范学院学报》2023年第5期50-58,共9页Journal of Baicheng Normal University

基　　金：国家自然科学基金项目(11701044)。

摘　　要：文章研究了一个受白噪声扰动的具有负反馈效应的随机酶促反应模型的动力学行为.首先,给出研究需要用到的预备知识.然后,文章主要证明了随机负反馈酶促反应系统的正解是唯一的并且会全局存在.最后,通过构造一个适当的李雅普诺夫函数,证明了随机酶促反应系统具有平稳分布,并且得到对应的随机模型总是具有遍历性,且不需要任何的附加条件.This paper studies the dynamic behavior of a stochastic enzyme catalysis model with negative feedback effect perturbed by white noise.First,the preliminary knowledge needed for the study is given.And then,this paper mainly proves that the positive solution of the stochastic negative feedback enzyme catalysis system is unique and will exist globally.At last,by constructing an appropriate Lyapunov function,we proves that the stochastic enzyme catalysis system has a stable distribution,and the corresponding random model is always ergodic and does not require any other additional conditions.

关 键 词：随机酶促反应模型 李雅普诺夫函数 正解存在唯一性 平稳分布 遍历性 

分 类 号：O643.1[理学—物理化学]