| Maths Problem...?
Consider the following model for a drug prescription:
a_(n+1) = a_(n) - ka_(n) + b,
where a_(n) is the amount of a drug (in mg, say) in the bloodsteam after administration of n dosages at regular intervals (hourly, say), k is the rate at which the drug is eliminated from the body and b is the amount added when a new dose is taken.
Note: The underscores (or rather '_') mean subscript, in this case.
- Find the fixed points of the model and their stability via linearization.
- Perform a cobwebbing analysis for this model. What happens to the amount of drug in the bloodstream in the long run? How does the result depend on the model parameters?
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03-08-2008, 08:44 AM
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