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The Center for Disease Control (CDC) has hired you to develop a model for the spread...

The Center for Disease Control (CDC) has hired you to develop a model for the spread of a highly contagious flu. Set up the model assuming the rate of spread of the flu is proportional to the number of contacts between infected and non-infected persons who are, as expected, able to move freely among each other in a free society like the US. Solve the ODE and find the limit of the proportion of infected people as time goes to infinity.

Please show all steps and give answer. Please also clearly define all variables and explain how to set up the ODE. Thanks!

Math   Advanced-Math   
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