Question

Rewrite the difference questions for S[t+1] and I[t+1] to incorporate the effects of quarantine. (Hint: quarantine should affect the term representing the proportion of susceptible individuals who are infected each time step)

b. Quarantine can be viewed as a way of modifying the transmission coefficient (a) by reducing the number of individuals which can be infected. This modified transmission coefficient can be referred to as a'. Write an equation for a' that incorporates both a and q.

Answer 1

Answer :-

Given that,

S[t+1] and I[t+1] to incorporate the effects of quarantine.

Here we are representing Quarentine as Q

Now the equation can be written as

Now the infected persons are deleting as per registered in quarentine or other outers

If suppose no.of persons registered as 5

Then the equations are represented as

Here we are representing infected people in quarentine is denoted as q

and representing infected people outers are denoted as a

Then the equation for a' that incorporates both a and q can be written as

Hence,

quarantine should affect the term representing the proportion of susceptible individuals who are infected each time step