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Advanced MathQ&A LibraryA population of squirrels lives in a forest with a carrying capacity of 2300. Assume logistic growth with growth constant k=0.6yr^-1.(a) Find a formula for the squirrel population P(t), assuming an initial population of 575 squirrels.P(t)= (b) How long will it take for the squirrel population to double?Question

Asked Feb 8, 2020

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A population of squirrels lives in a forest with a carrying capacity of 2300. Assume logistic growth with growth constant k=0.6yr^-1.

(a) Find a formula for the squirrel population P(t), assuming an initial population of 575 squirrels.

P(t)=

(b) How long will it take for the squirrel population to double?

Step 1

According to the given information, logistic growth can be defined as the growth like S shape graph that is when the population is less that growth rate is high and when the population is more the growth rate is less.

The logistic growth equation can be given as:

Step 2

Now, for part (a)

Carrying capacity (A) = 2300

Constant (k) = 0.6 years

Initial population = 575

Now, put it in the above equation to get the value of P:

Step 3

Solving further to get:

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