Mathematical modeling of COVID-19 epidemic with effect of social distancing, face masks and quarantine

In this paper, we present a mathematical model for the spread of the COVID-19 disease with a major focus on the social distancing, face masks and quarantine. The populations is divided into six compartmental classes, susceptible (S), expose (E), infectious (I), quarantined (Q), hospitalized (H), and recovered (R) individuals, respectively. The proposed model has a locally asymptotically stable disease-free equilibrium whenever a certain epidemiological threshold, known as the control reproduction number ( 9λc). The outcomes show the impact of social distancing, face masks and quarantine on reducing the number of infections and the control reproduction number. Furthermore, the result suggests that the effective strategy in controlling COVID-19 should be concerned the consistent use of face masks, increasing effectiveness of social distancing and quarantine with high enough compliance.