Suppose that the fish population P(t)in a lake is attacked by a disease at time t=0, with the result that the fish cease to reproduce (so that the birth rate is β=0) and the death rate δ(deaths per week per fish) is thereafter proportional to P^(-1/2). If there were initially 100,000 fish in the lake and 1984were left after 20weeks, how long did it take for the lake to contain 0 fish?What if the number of fish left after 20 weeks is 4891,how many fish do you have after 24 weeks?
Suppose that the fish population P(t)in a lake is attacked by a disease at time t=0, with the result that the fish cease to reproduce (so that the birth rate is β=0) and the death rate δ(deaths per week per fish) is thereafter proportional to P^(-1/2). If there were initially 100,000 fish in the lake and 1984were left after 20weeks, how long did it take for the lake to contain 0 fish?What if the number of fish left after 20 weeks is 4891,how many fish do you have after 24 weeks?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.EA: Extended Application Managing Renewable Resources
Problem 2EA
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Suppose that the fish population P(t)in a lake is attacked by a disease at time t=0, with the result that the fish cease to reproduce (so that the birth rate is β=0) and the death rate δ(deaths per week per fish) is thereafter proportional to P^(-1/2). If there were initially 100,000 fish in the lake and 1984were left after 20weeks, how long did it take for the lake to contain 0 fish?What if the number of fish left after 20 weeks is 4891,how many fish do you have after 24 weeks?
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