Determine limiting population maximum infected people


Three people from China village of 2500 return from the jungle after infected with bubonic plague. 2 days later, 10 people in same village are infected. If rate of infection continues exponetially and plague stays unchecked, how long will it take before whole village is infected? Set exponential model.

3 people from remote african village of 2500 return from jungle after infected with ebola virus. 2 days later 10 people in village are infected. W.H.O finds virus quikly and takes measures to slow spread of virus. Instead a of spread following exponential pattern, it now follows the logistic model n(x) = 603/1+be^-kx where n(x)is number of people infected after x days.
Determine logistic model
Determine limiting population that is max no of people which will be infected?
Forecast how many people will be binfected after seven days.

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Mathematics: Determine limiting population maximum infected people
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