
Deric D. answered 02/02/16
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Professional, Analytical and Creative Thinker Specializing in Math
Hi Christopher.
It appears you need to set the growth rate equal to the decay rate (death rate). This would provide equilibrium between growth and decay.
The limit at which a population ceases to grow and remain constant is the carrying capacity.
Here is a link for more info:
https://www.boundless.com/biology/textbooks/boundless-biology-textbook/population-and-community-ecology-45/environmental-limits-to-population-growth-251/logistic-population-growth-930-12186/
https://www.boundless.com/biology/textbooks/boundless-biology-textbook/population-and-community-ecology-45/environmental-limits-to-population-growth-251/logistic-population-growth-930-12186/