Jiang, Liqiang; Ma, Zhien; Rionero, S.; Petrillo, F. The stability of an innovation diffusion model with delay. (Chinese. English summary) Zbl 1051.34061 Acta Math. Appl. Sin. 26, No. 4, 682-692 (2003). Summary: 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 sufficient conditions for its locally and globally asymptotic stability are obtained. When the kernel function of the distributed time delay takes the form \(ae^{-a\tau}\), the positive equilibrium is absolutely asymptotically stable. MSC: 34K20 Stability theory of functional-differential equations 34K60 Qualitative investigation and simulation of models involving functional-differential equations 90B99 Operations research and management science PDFBibTeX XMLCite \textit{L. Jiang} et al., Acta Math. Appl. Sin. 26, No. 4, 682--692 (2003; Zbl 1051.34061)