摘要
本文建立了一类含分布时滞的革新传播模型,研究了分布时滞对传播过程的影响。讨论了正平衡点的存在性和唯一性以及正平衡点的渐近稳定性(全局和局部)。当分布时滞的核函数取形式ae^(-at)时,证明了正平衡点是绝对渐近稳定的。
In this paper, an innovation diffusion model with distributed time delay is proposed and its effect on the diffusion process is studied. The existence and uniqueness of a positive equilibrium is proven and the sufficient conditions for its locally and globally asymptotic stability have been obtained. When the kernel function of the distributed time delay takes the form ae-ar,the positive equilibrium is absolutely asymptotically stab.
出处
《应用数学学报》
CSCD
北大核心
2003年第4期682-692,共11页
Acta Mathematicae Applicatae Sinica
基金
意大利C.N.R.基金
M.U.R.S.T.基金
国家自然科学基金(19971066号)
