Modelling and Stability Analysis of a Rumour Propagation Model with Sentiments as Microscopic Observation

A mathematical model (SEPNS) for rumour spreading on social media is proposed here with the required differential equations. Microscopic observations are considered here to obtain the compartments in this epidemiological model. The predictions based on this model can help social media analysts provide valuable and specific suggestions in business and politics. The equilibrium points are obtained for this model. Later, the stability analysis based on basic reproduction number R0 is done for both the rumour free equilibrium and the endemic equilibrium. Finally, numerical simulation of the model is done to understand the influence of different parameters during rumour spread.