| Brief Mathematics Question...?
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 bloodstream after administration of n dosages at regular intervals (hourly, say).
Find the fixed points of the model and their stability via linearization.
Could someone please help me with this question?? I have been attempting this question for multiple days now, and have got almost nowhere - so I really need some guidance!!
Thanks.
Note: The underscores (or rather "_") mean subscript, in this case.
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