Abstract
COVID-19 has turned into one of the greatest pandemics ever witnessed within a very short period. The governments of almost every country have announced to maintain physical distancing and to use precautionary measures to prevent the high disease transmission. Here, a compartmental epidemiological model of COVID-19 transmissions has been formulated. People of the susceptible class move to the asymptotically exposed class by coming close to asymptotically exposed people, symptomatically infected people, quarantined people, and hospitalized people. The analysis reveals that when most people from the symptomatically infected class move to quarantine, then even the higher probability of virus transmission hardly makes any impact on the growth of the infected population and the count of the infected people starts to reduce. In the case of coronavirus, there are no existing vaccines which means maintaining physical distancing and hygiene are the only way-outs to avoid the infection. In the optimal control problem, social distancing is considered as one of the important control interventions to mitigate the disease prevalence. Moving the symptomatically infected population to quarantine or hospitals is taken as the other two control strategies. The trajectory profiles of the asymptomatically exposed class show that a lesser number of people become infected in the presence of the control interventions. In conclusion, it can be stated that the simultaneous use of all control interventions reduces the virus transmission in the present pandemic situation and also decrease the count of the infected population in the environment. Epidemic in complex networks (Adapted with permission from the Health and Art (HEART), Universal Scientific Education and Research Network (USERN); Painting by Ummugulsun Topcu).The code of this chapter is 01001101 01101111 01100100 01100101 01101100. Epidemic in complex networks (Adapted with permission from the Health and Art (HEART), Universal Scientific Education and Research Network (USERN); Painting by Ummugulsun Topcu).