All Questions
5
questions
2
votes
0
answers
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Exponential growth in contagious disease models
I am a student at the early stage of learning differential equations. In my textbook there is an introduction of the SIR model, and later I also found this Covid prediction model published in 2020.
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0
votes
1
answer
78
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$e^{pt}$ or $(1+p)^t$ What is the difference in modeling exponential growth and decay?
I would like to better understand, when the function $e^{pt}$ is the "better" choice and when (if at all) $(1+p)^t$ should be used.
To give a classic example: Say we want to model radioactive decay ...
- 75
1
vote
1
answer
222
views
Solution for differential equation describing linear input and exponential decay
I try to model the concentration over time when there's an linear input and an exponential output (i.e. exponential decay) with known half-life.
Input(t) = a+b*t
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- 13
0
votes
1
answer
157
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Finding k in this logarithmic model
Problem 6: The amount of a certain medicine in the bloodstream decays exponentially
with a half-life of 5 hours. In order to keep a patient safe during a one-hour procedure,
there needs to be at ...
- 2,493
-1
votes
1
answer
23
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Derivation of Exponential Model
A model for the mass of dye in the heart (mg) at any time from $t=2$ seconds until the end of the procedure: $H(t)=35e^{-0.916t}$
How was this derived?
The following information was used:
60% of ...
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