( 2 ) Investigate the formation of other waves of infection
when such conditions are not met ;
The major contributions of this article are : ( 1 ) Rigorously find sufficient conditions for the outbreak to only have one peak , i.e. for no second wave of infection to form ; ( 2 ) Investigate the formation of other waves of infection when such conditions are not met ; ( 3 ) Use numerical simulations to analyze the different roles asymptomatic carriers can have .
The major contributions of this article are : ( 1 ) Rigorously find sufficient conditions for the outbreak to only have one peak , i.e. for no second wave of infection to form ; ( 2 ) Investigate the formation of other waves of infection when such conditions are not met ; ( 3 ) Use numerical simulations to analyze the different roles asymptomatic carriers can have .