常微分方程生物动力系统正性及耗散性研究方法  

Research Methods of Positiveness and Dissipativity of the Ordinary Differential Equation Biological Dynamical Systems

作　　者：刘胜强 马宁涓 LIU Shengqiang;MA Ningjuan(School of Mathematical Sciences,Tiangong University,Tianjin 300387,China)

机构地区：[1]天津工业大学数学科学学院,天津300387

出　　处：《大学数学》2023年第1期6-12,共7页College Mathematics

基　　金：国家自然科学基金(11871179)。

摘　　要：常微分方程生物动力系统解的正不变性和耗散性是对该类型动力行为刻画的先决条件,具有重要的基础作用.针对常微分方程生物动力系统这些共性问题的研究方法进行系统的归纳,分别对Kolmogorov型及非Kolmogorov型常微分方程生物动力系统典型实例的正不变性和耗散性研究进行全面总结,并应用于近年来生物动力系统前沿领域的相关研究.The positiveness and dissipative of ordinary differential equation biological dynamical model solution are the prerequisite for describing this type of dynamic behavior,which plays an important fundamental role.In this paper,the research methods of these common problems of ordinary differential equation biological dynamical system are systematically summarized,and the positiveness and dissipative research of typical examples of Kolmogorov type and non-Kolmogorov type ordinary differential equation biological dynamical system are comprehensively summarized,and applied to the recent case studies in the frontier research field of biological dynamical system.

关 键 词：常微分方程 生物动力系统 正不变性 耗散性 

分 类 号：O193[理学—数学]