Abstract:
In this work, we present and discuss the approaches, that are used for modeling and surveillance of dynamics of infectious diseases by considering the early stage asymptomatic and later stage symptomatic
infections. We highlight the conceptual ideas and mathematical tools needed for such infectious disease
modeling. We compute the basic reproduction number of the proposed model and investigate the qualitative behaviours of the infectious disease model such as, local and global stability of equilibria for the
non-delayed as well as delayed system. At the end, we perform numerical simulations to validate the
effectiveness of the derived results.