Plot the fraction of susceptible individuals

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Reference no: EM133610762

Build numerical model for the spread of an infectious disease built upon the SIR model for transmission. The model should be based on a daily time step. (a) Assume that a city of 10 million people is confronted with a potential infectious epidemic. A plane arrives at the international airport carrying 25 individuals who are infected, but are unaware that they are infected. While contagious, infected individuals come into transmission contact with another individual once every 2 days. After 4 days, infected individuals are no longer contagious. Assume that recovered individuals that survive develop immunity to the disease.

a. Plot the fraction of susceptible individuals, infected individuals, and recovered individuals as a function of time throughout the epidemic.

b What fraction of the total population will have ultimately come down with the infectious disease once the epidemic is over? How many days after the plane landing did this number finally reach steady state (i.e., the epidemic is completely over).

c. In order to plan for the construction of hospitals and other medical facilities to respond to such an epidemic, how many individuals are contagious at the peak of the epidemic? How large is this fraction of the total population?

Reference no: EM133610762

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