Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model

In this paper, we consider a modified SIR (susceptible-infected-recovered/removed) model that describes the evolution in time of the infectious disease caused by Sars-Cov-2 (Severe Acute Respiratory Syndrome-Coronavirus-2). We take into consideration that this disease can be both symptomatic and asymptomatic. By formulating a suitable mathematical model via a system of ordinary differential equations (ODEs), we investigate how the vaccination rate and the fraction of avoided contacts affect the population dynamics.