I have a logistic growth equation for a population where K = 820 carrying capacity, and...

I have a logistic growth equation for a population where K = 820 carrying capacity, and P(0) =550 initial population with a growth rate r of 0.25. Using the equation P= K/(1+A.e^-rt) i can find out the Value of A from initial conditions as A=(K-P(0))/P(0) and apply the equation to calculate values of P at different time intervals between 0 ans 12 years. If I have to use the same parameters as a logistic decay starting with an initial population of 820 and a final population of 550, what would be the value of A. If I apply initial conditions then the value of A comes as negative and if we use -r as negative growth rate in the exponent of the denominator, there result does not follow a logistic decay. However if we keep A positive and r negative then we get a logistic decay. Can you please clarify this confusion.

Expert Solution

Hope I have been able to bring clarity to the situation. If you need anything more do let me know.

milcah answered 2 years ago

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I have a logistic growth equation for a population where K = 820 carrying capacity, and...

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