A scientist is doing an experiment on the growth of the corona virus. He started the experiment with 106 virus particles. After 14 days, he observed that the number of virus particles reached 108. After a few more days, the scientist observed that the number of virus had reached an equilibrium and is not changing any more. That final number of virus particles was recorded to be 10⁹. The scientist then assumed that the virus must follow a logistic growth model given by the following differential equation. From these data, determine the value of a. [You can directly use the solution of the logistic model from class lecture. You don't need to show the solution of the model. dP Logistic model: dt denotes the population after t days.] =aP(1 P/K) where a and K are constants and P(t) =
A scientist is doing an experiment on the growth of the corona virus. He started the experiment with 106 virus particles. After 14 days, he observed that the number of virus particles reached 108. After a few more days, the scientist observed that the number of virus had reached an equilibrium and is not changing any more. That final number of virus particles was recorded to be 10⁹. The scientist then assumed that the virus must follow a logistic growth model given by the following differential equation. From these data, determine the value of a. [You can directly use the solution of the logistic model from class lecture. You don't need to show the solution of the model. dP Logistic model: dt denotes the population after t days.] =aP(1 P/K) where a and K are constants and P(t) =
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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