Three simultaneous innovations interrelationships: An adopter dynamics model

Abstract

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