摘要
恒化器是实验室中用于微生物培养的实验装置,广泛应用于生物工程和生物技术领域.本文回顾了恒化器的研究历程,介绍了近些年来国内外学者关于恒化器的研究成果,重点综述了由脉冲微分方程描述的恒化器动力学模型的研究成果.
The chemostat is an experimental device for microbial culture in the laboratory and is widely used in bioengineering and biotechnology.This paper reviews the research process of the chemostat,introduces the research results of chemostats by domestic and foreign scholars in recent years,and focuses on the research results of the chemostat dynamical model described by impulsive differential equations.
作者
张同迁
高宁
王俊玲
江志超
ZHANG Tongqian;GAO Ning;WANG Junling;JIANG Zhichao(College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao,Shandong 266590,China;Department of Sciences,North China of Aerospace Engineering,Chengde,Hebei 065000,China)
出处
《数学建模及其应用》
2019年第1期1-13,52,共14页
Mathematical Modeling and Its Applications
基金
国家自然科学基金(11801014
11875001)
河北省自然科学基金(A2018409004)
河北省高校百名优秀创新人才支持计划
山东科技大学博士科研启动基金
关键词
恒化器模型
常微分方程
脉冲
时滞效应
随机影响
chemostat model
ordinary differential equation
impulsive effect
delay effect
stochastic effect
