Update

Author: tom mcandrew

outbreak_science/chap2.ipynb

@@ -965,8 +965,8 @@
     "    3. There are 3 infectors and $\\mathcal{R}_{0}=2.00$\n",
     "    4. There are 0 infectors and $\\mathcal{R}_{0}=2.00$\n",
     "\n",
+    "9. When we computed conditions for when an the number of expected infectors would increase (i.e. when an outbreak will take place) we used several assumptions: (1) the number of susceptibles is close to $N$, (2) the probability of infection is small. Lets investigate how the conditions for an outbreak would change if we removed assumptions (1) and (2).<br><br> If we remove assumptions (1) and (2) then we can state that our new condition for an outbreak is when the expected number of infectors at time $1$ is larger than the expected number of infectors at time zero, or\n",
     "\n",
-    "9. When we computed conditions for when an the number of expected infectors would increase (i.e. when an outbreak will take place) we used several assumptions: (1) the number of susceptibles is close to $N$, (2) the probability of infection is small. Lets investigate how the conditions for an outbreak would change if we removed assumptions (1) and (2).<br><br> If we remove assumptions (1) and (2) then we can state that our new condition for an outbreak is when the expected number of infectors at time $1$ is larger than the expected number of infectors at time zero, or   \n",
     "\\begin{align}\n",
     "    \\mathbb{E}(I_{1}) = S_{0} \\left[ 1- (1-p)^{i_{0}}\\right] > i_{0}\n",
     "\\end{align}\n",