Mathematical Assessment of Social Media Impact on Academic Performance of Students in Higher Institution
In this paper, a compartmental model approach was used in formulating a model to investigate the effects of social media on academic performance of students in higher institution. The total population is sub divided in to five compartments which are: social media non users class, less active users class, active users class, high performance class and low performance class. Two equilibria (Media Free Equilibrium MFE and Media Addiction Equilibrium Points AEP) were obtained and analyzed. The basic reproduction number was obtained and the stability analysis of the MFE reveals that, the MFE is locally asymptotically stable if is greater than unity and unstable otherwise. The AEP exists whenever A numerical solution of the model was obtained and it shows that there is a significant effects of social media on academic performance of students in higher institution which proved the local stability analysis of the MFE.