2. 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 107. 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 10°. 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.
2. 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 107. 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 10°. 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.
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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Transcribed Image Text:2. 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 107. 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 10°. 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:
= aP(1 – P/K) where a and K are constants and P(t)
dt
denotes the population after t days.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92d5cb13-2041-4432-8d9c-26254ff90a9b%2F0a86f6df-8877-4844-947d-1e18acdd0881%2Fa8f0ef8_processed.png&w=3840&q=75)
Transcribed Image Text:[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:
= aP(1 – P/K) where a and K are constants and P(t)
dt
denotes the population after t days.]
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