The population size x(t) in the logistic equation dx x(1 – 0.5x) dt is evaluated from the equation x(t) = се1 + 1 (a) Find all the value(s) of c when the initial population is x(0) = 0.5 (b) Evaluate the population after 2 years with the value of c found in Part (a).
The population size x(t) in the logistic equation dx x(1 – 0.5x) dt is evaluated from the equation x(t) = се1 + 1 (a) Find all the value(s) of c when the initial population is x(0) = 0.5 (b) Evaluate the population after 2 years with the value of c found in Part (a).
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 26SE: What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation....
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Transcribed Image Text:The population size x(t)
in the logistic equation
dx
x(1 – 0.5x)
dt
is evaluated from the equation
2
x(t)
ce-t +1
(a) Find all the value(s) of c when the initial
population is x(0) = 0.5
(b) Evaluate the population after 2 years with the
value of c found in Part (a).
%3D
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