If you are interested in univariate time series data predictions, have a look in PSF algorithm and it's R Packages available at :

CRAN: https://cran.r-project.org/web/packages/PSF/index.html

GitHub: https://github.com/neerajdhanraj/PSF

How to use: https://www.researchgate.net/publication/304131481_PSF_Introduction_to_R_Package_for_Pattern_Sequence_Based_Forecasting_Algorithm

and

https://www.researchgate.net/publication/304580701_Introduction_of_seasonality_concept_in_PSF_algorithm_to_improve_univariate_time_series_predictions

For further details contact me at: http://www.neerajbokde.com

Article PSF: Introduction to R Package for Pattern Sequence Based Fo...

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You may want to look at Bass Diffusion Model which is generally used to model diffusion /acceptance of new technology. It is also widely used in healtcare to model infectious disease.

https://en.m.wikipedia.org/wiki/Bass_diffusion_model

Besides Roger' curve, it would also be insightful to consider the assumptions underlying the hype cycle, also known as the Gartner curve (this however is a proprietary technology adoption model).

Some consideration of interactivity as the cornerstone of adoption...

https://www.researchgate.net/publication/296687280_Technology_Adoption_an_Interaction_Perspective

Article Technology Adoption: an Interaction Perspective