Consider a population P(t) satisfying the extinction- explosion equation dP/dt = aP² – bP, where B = aP² is the time rate at which births occur and D = bP is the rate at which deaths occur. If the initial population is P(0) = Po and Bo births per month and Do deaths per month are occurring at time t = 0, show that the threshold population is M = DoPo/Bo- %3D

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Consider a population P(t) satisfying the extinction-
explosion equation dP/dt = aP² – bP, where B = aP²
is the time rate at which births occur and D = bP is the
rate at which deaths occur. If the initial population is
P(0) = Po and Bo births per month and Do deaths per
month are occurring at time t = 0, show that the threshold
population is M = DoPo/Bo-
%3D
Transcribed Image Text:Consider a population P(t) satisfying the extinction- explosion equation dP/dt = aP² – bP, where B = aP² is the time rate at which births occur and D = bP is the rate at which deaths occur. If the initial population is P(0) = Po and Bo births per month and Do deaths per month are occurring at time t = 0, show that the threshold population is M = DoPo/Bo- %3D
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