一类具有时滞的传播系统的渐近稳定性  

The asymptotic stability of a class of diffusion system with delay

作　　者：程荣福[1] 焉波[1] 

机构地区：[1]北华大学公共基础部,吉林吉林132021

出　　处：《福州大学学报（自然科学版）》2007年第1期20-24,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：吉林省自然科学基金资助项目(B415089)

摘　　要：建立了一类含分布时滞的革新传播系统,研究了分布时滞传播过程的影响,讨论了持久性与正平衡点的存在性和唯一性及其局部与全局的渐近稳定性.证明当分布时滞的核函数取弱核形式时,平衡点是绝对渐近稳定的.An innovation diffusion system with distributed delay is proposed and its effect on the diffusion process is studied. The existence and uniqueness of a positive equilibrium are proven and persistence and the sufficient conditions for its locally and globally asymptotic stability have been obtained. When the kernel function of the distributed delay takes the form weak kernel, the positive equilibrium is absolutely asymptotically stable.

关 键 词：革新传播系统 分布时滞 正平衡点 持久性 渐近稳定性 

分 类 号：O175.13[理学—数学]