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How many develop influenza after twenty days

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Reference no: EM131567028

Question: In a model of how influenza spreads, let N(t) denote the number of persons who develop influenza t days after all members of a group of 1000 people have been in contact with a carrier of infection. Assume that

N.(t) = 0.39N(t)(1 - N(t)/1000).          N(0) = 1

(a) Find a formula for N(t). How many develop influenza after 20 days?

(b) How many days does it take until 800 are sick?

(c) Will all 1000 people eventually get influenza?

Reference no: EM131567028

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