Stability Analysis of Transmission of Social Issues is focused on the recent problems of society. This research work is mainly focused on the social issues like Japanese Encephalitis and Blindness (Medical Issues), Airing of Social messages like WhatsApp, Culture Transmission and Liquor Habit model( Social Issues), Value-added life and Demonetisation( Economical Issues). Stability Analysis of each of the model is Carried out with model parameters and different methods. this research work is carried under the Guidance of Prof.(Dr.) Nita H. Shah, Department of Mathematics, Gujarat University, Gujarat, India.