Three simultaneous innovations interrelationships:An adopter dynamics model  

作　　者：Joydip Dhar Mani Tyagi Poonam Sinha 

机构地区：[1]Department of Applied Sciences ABV-Indian Institute of Information Technology and Management Gwalior(M.P.)-474010,INDIA [2]School of Mathematics and Allied Sciences Jiwaji University Gwalior,Gwalior(M.P.)-474011,INDIA

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2015年第3期116-130,共15页建模、仿真和科学计算国际期刊（英文）

摘　　要：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.

关 键 词：Adopter dynamics model association between innovations steady states dynamical behavior 

分 类 号：O17[理学—数学]