Degn-Harrison反应扩散系统的全局稳定性  

Global stability of Degn-Harrison reaction-diffusion system

作　　者：徐玮佳 郭改慧[1] XU Wei-jia;GUO Gai-hui(School of Mathematics and Data Science,Shaanxi University of Science and Technology,Xi'an 710021,Shaanxi,China)

机构地区：[1]陕西科技大学数学与数据科学学院,陕西西安710021

出　　处：《西北师范大学学报（自然科学版）》2023年第1期26-30,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(61872227,61672021)。

摘　　要：在齐次Neumann边界条件下,研究一类Degn-Harrison反应扩散系统的全局稳定性.通过构造不变矩形区域与李亚普诺夫函数,得到系统全局稳定的充分条件.结果表明,抑制强度参数与Degn-Harrison反应扩散系统局部和全局稳定性密切相关.In this paper,the global stability of the Degn-Harrison reaction-diffusion system subject to Neumann boundary conditions is studied.By constructing the invariant rectangular region and Lyapunov function,the sufficient conditions for the global stability of this system are obtained.The results show that the parameter which represents the inhibition intensity is closely related to the local and global stability of the Degn-Harrison reaction-diffusion system.

关 键 词：Degn-Harrison系统 反应扩散 李亚普诺夫函数 全局稳定性 

分 类 号：O175.26[理学—数学]