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  3. let a logistic curve be given by dp/dt = 0.02*p*(5

Let a logistic curve be given by dP/dt = 0.02*P*(50-P) with the initial condition P(0)=5 This is an IVP...

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Advance Math

Let a logistic curve be given by

dP/dt = 0.02*P*(50-P)

with the initial condition

P(0)=5

This is an IVP (“initial value problem”) for the population Pversus time t.

Report the following numbers in the given order (use twodigits):

  1. The growth coefficient k=?
  2. The carrying capacity M=?
  3. The population level when the growth just starts to slow down(“the inflection point” population level) PIP=?
  4. The time when the population just starts to slow downtIP=?
  5. The population level when t=5: P(5)=?
  6. The long-term approximation for the population level limit P(t)as t-> infinity.

Answer & Explanation Solved by verified expert
4.3 Ratings (983 Votes)
For the first two questions the given equation is beingcompared with the    See Answer
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