ABSTRACT
In this chapter, the concept of stochastic processes and models are explored, beginning with a visual and textual explanation of Brownian motion particles. Specifically, ISI and ISR model dynamics for social media information spread are derived, explained, and simulated. It is neither intuitive nor reasonable to assume that an information spread model will completely predict the time progression and overall diffusion of any given message as it spreads over social media. It presents two stochastic information spread models: a traditional ISI information spread model and an ISR information spread model, tailored specifically to social media information. Similar fundamental ISI and ISR model principles can be applied to any other epidemic-based information spread models to obtain their corresponding stochastic model. Through the dynamics of the ISI model, ignorant class members learn and gain interest in a particular topic. However, stochastic systems must be approached in a different way in light of their probabilistic nature.
