3. Let’s consider the SIR model. If the Zombie apocalypse were to happen you wou

Question

3. Let’s consider the SIR model. If the Zombie apocalypse were to happen you would want to predict the outcome (Warning: this problem will likely be a spoiler for The Walking Dead). Take the SIR model presented in class and modify it to match the zombie apocalypse. Assume that once an individual becomes a zombie they stay a zombie. Also assume that the humans can kill zombies at some rate (that is constant) based on their interactions. Consider the effect based on zombies meeting humans at random. What is the basic outcome of the model?

4. Now consider the influenza virus. People get infected and once infected they can spread the disease. After a period of time they are recovered from the disease. But since the flu mutates some number of people who had the flu last season will get it next season. Write the set of equations based on the SIR model that account for this dynamic.

Explanation / Answer

4. A person infected with a strain of influenze gets immune to that specific strain. Assume that the population remain constant since influenza acts in a pretty short period of time

The recovered population Rn = N - Sn - In where N = population size, Sn = susceptibles, and In = infected

* Spread of the disease depends on successful contacts, given by the equation:

Sn+1 = Sn - (b/N) Sn In , where bS/N = proportion of contacts made by an infected individual which result in infection of the susceptible individuals

Infected persons

In+1 = (1-g) In + (b/N0 Sn In), where g is the probability that an infected person recovers, 1/g is the averae length of the infectious period

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.