There is considerable evidence to support the theory that for some species there is a minimum population T, called the critical threshold, such that a species will become extinct if the size of the population falls below T. This condition can be incorporated by introducing the factor-(1 P/T) into the logistic equation. (1-)(1-). P.20. dP -rP P,t 0. Thus, the modified logistic model is given by the differential equation: T dt K Suppose that for some species the intrinsic growth rate is r= 0.01, the environmental carrying capacity is K = 13000 and the critical threshold is T = 400. For what values of P is the population increasing and decreasing? Write your answers in interval notation. If there is more than one interval, use capital U for union. Increasing: Decreasing:

There is considerable evidence to support the theory that for some species there is a minimum population T, called the critical threshold, such that a species will become extinct if the size of the population falls below T. This condition can be incorporated by introducing the factor-(1 P/T) into the logistic equation. (1-)(1-). P.20. dP -rP P,t 0. Thus, the modified logistic model is given by the differential equation: T dt K Suppose that for some species the intrinsic growth rate is r= 0.01, the environmental carrying capacity is K = 13000 and the critical threshold is T = 400. For what values of P is the population increasing and decreasing? Write your answers in interval notation. If there is more than one interval, use capital U for union. Increasing: Decreasing:

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 1EA: Suppose that a particular plot of land can sustain 500 deer and that the population of this...

See similar textbooks