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Logistic Growth Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions the population follows a logistic growth model:
where c, d, and k are positive constants. For a certain fish population in a small pond d = 1200, k = 11, c = 0.2, and t is measured in years. The fish were introduced into the pond at time t = 0.
- (a) How many fish were originally put in the pond?
- (b) Find the population after 10, 20, and 30 years.
- (c) Evaluate P(t) for large values of t. What value does the population approach as t → ∞? Does the graph shown confirm your calculations?
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Chapter 4 Solutions
PRECALCULUS VOL. 1 W/ENH. WEBASSIGN >I
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