Code From CosCurveFit.m to Fit the I Class of an SEIR Model - IT Assignment Help

Assignment Task

PROBLEM #1: :  Adapt the code from CosCurveFit.m to fit the I class of an SEIR model to the data from the boarding school.  The only parameters you should vary are beta, sigma, and g

amma – do not vary N.  You will need this code again, so be sure to save it in an easily retrievable way.  Paste your code here.  Report your best fit parameters and the value of the cost function for the best fit parameters.  Also give the plot of the model fit to the data. 

PROBLEM #2: The formula for R0 is the same for the SEIR model.  What value of R0 did you obtain?

PROBLEM #3: Compare the cost functional values of your best fit SIR model to that of the SEIR model.  Which model fit better?

PROBLEM #4: Again, consider the formula that compares the fraction of people infected by the end of an outbreak to R0.  Does your value of R0 for the SEIR model make sense in the context of the total number of infected boys actually infected during this outbreak?  Consider how well this model fit compared to the SIR model.  Does this relationship make sense?  Comment on what you think could be at work here.

The data:

data = [3 8 28 75 222 291 256 236 191 125 70 28 12 5];

PROBLEM #5:  Adapt the code from problem #1 to fit the C class of an SICR model to the data from the boarding school.  This means the data is represented by the C class, so C(0) = 3 (you’ll need to set I(0) = 1 to get the disease to actually spread).  Again, do not vary N.  Paste your code below.  Report your best fit parameters and the value of the cost function for the best fit parameters.

 PROBLEM #6: Redo problem #5, but with an SEICR model.

PROBLEM #7: Compute the log likelihood ln(L) value of the best fits of the SICR and SEICR models to the boarding school data.

PROBLEM #8: Create a table of AICC values and Δ values for the SIR, SEIR, SICR and SEICR models similar to the example from lecture

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