In this paper, we develop a conceptual framework of a innovation diffusion dynamicsmodel in which multiple parallel innovations are effecting each other during the diffusionprocess. A mathematical model is proposed to...In this paper, we develop a conceptual framework of a innovation diffusion dynamicsmodel in which multiple parallel innovations are effecting each other during the diffusionprocess. A mathematical model is proposed to explore the interaction and diffusion ofthree innovations simultaneously available in market. The stability analysis is carriedout for various types of diffusions on such system both analytically and numerically.It is observed that the association between innovations in product market could becomplementary, substitute, independent or competitive. The co-existence and extinctionof innovation depends on the level of diffusion between the innovations and it may ormay not be sensitive to initial distribution of innovations.展开更多
文摘In this paper, we develop a conceptual framework of a innovation diffusion dynamicsmodel in which multiple parallel innovations are effecting each other during the diffusionprocess. A mathematical model is proposed to explore the interaction and diffusion ofthree innovations simultaneously available in market. The stability analysis is carriedout for various types of diffusions on such system both analytically and numerically.It is observed that the association between innovations in product market could becomplementary, substitute, independent or competitive. The co-existence and extinctionof innovation depends on the level of diffusion between the innovations and it may ormay not be sensitive to initial distribution of innovations.
