3. Drug prescription. Consider the following model for a drug prescription: An+1 = An - kaz+b, where an is the amount of

Post by **answerhappygod** » Sat Feb 26, 2022 11:49 am

: 3 Drug Prescription Consider The Following Model For A Drug Prescription An 1 An Kaz B Where An Is The Amount Of 1 (23.81 KiB) Viewed 45 times

part c only using matlab, please upload matlab screenshots
and results
3. Drug prescription. Consider the following model for a drug prescription: An+1 = An - kaz+b, where an is the amount of a drug (in mg, say) in the bloodstream after administration of n dosages at regular intervals (hourly, say). (see 2.4.2) (a) Discuss the meaning of the model parameters k and b. What can you say about their size and sign?
(b) Find the fixed points of the model and their stability via linearization. (c) (Use MATLAB) Perform a cobwebbing analysis for this model. Define a func- tion in Matlab to plot in the positive quadrant an+1 = f(an) and the identity line an+1 = An for k = 1 and b=0.2, 0.6 and 1.3. Starting from do = 0.1 sketch several iterations to determine the behavior. What happens to the amount of drug in the bloodstream in the long run? How does the result depend on the model parameters?