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P(t) = 2000/1+e^(7-^t) t= amount infected what does 2000 represent
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GPT-5 mini
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Interpreting the formula as P(t) = 2000 / (1 + e^(7 − t)):
2000 is the carrying capacity (the upper limit) of the logistic model — i.e. the maximum number of people who will ever be infected. You can see this by taking the limit as t → ∞: e^(7−t) → 0, so P(t) → 2000.
(2000 is not the initial infected count; P(0) = 2000/(1+e^7), which is much smaller.)
2000 is the carrying capacity (the upper limit) of the logistic model — i.e. the maximum number of people who will ever be infected. You can see this by taking the limit as t → ∞: e^(7−t) → 0, so P(t) → 2000.
(2000 is not the initial infected count; P(0) = 2000/(1+e^7), which is much smaller.)
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