Another equation that has been used to model population growth is the Gompertz15 equation dydt=ry ln(Ky),where r and K are positive constants. c.For each y in 0 < y ≤ K, show that dy/dt as given by the Gompertz equation is never less than dy/dt as given by the logistic equation.

Another equation that has been used to model population growth is the Gompertz15 equation dydt=ry ln(Ky),where r and K are positive constants. c.For each y in 0 < y ≤ K, show that dy/dt as given by the Gompertz equation is never less than dy/dt as given by the logistic equation.

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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Another equation that has been used to model population growth is the Gompertz¹⁵ equation

dydt=ry ln(Ky),where r and K are positive constants.

c.For each y in 0 < y ≤ K, show that dy/dt as given by the Gompertz equation is never less than dy/dt as given by the logistic equation.

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