Fix growth rate equation in description
@@ -84,7 +84,7 @@ First, we need to express the two parameters $\\beta$ and $\\gamma$ in terms of
- The $\\gamma$ parameter represents 1 over the mean recovery time in days. Since the CDC is recommending 14 days of self-quarantine, we'll use $\\gamma = 1/14$.
- Next, the AHA says to expect a doubling time $T_d$ of 7-10 days. That means an early-phase rate of growth can be computed by using the doubling time formula:
-$$g = (1/T_d)^{{(1/2)}} - 1$$
+$$g = 2^{1/T_d} - 1$$
- Since the rate of new infections in the SIR model is $g = \\beta S - \\gamma$, and we've already computed $\\gamma$, $\\beta$ becomes a function of the initial population size of susceptible individuals.
$$\\beta = (g + \\gamma)/s$$
