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help me please 2. Consider the modified SIR model, ds dt = -b8212, dI = 65212 - k12. (a) Peak infection: i. Sketch a graph

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2. Consider the modified SIR model, ds dt = -b8212, dI = 65212 - k12. (a) Peak infection: i. Sketch a graph of the phase plane using pplane or other software. Use b = 1 and k = 0.1 (for parts (i), (ii), (iii), and (vi) only!). What is R-naught for this disease? ii. Use the phase plane to estimate peak infection - the maximum percent of the population that will be infected - (assuming an initial infection level of 1%). iii. Use the phase plane to estimate the long-term fraction of the population that will not get the disease. iv. Derive the solution, I($), from the DEs of the model in terms of the parameter Ro (here, you may assume an initial infection level of 0%). v. Derive a formula for peak infection in terms of Ro. vi. Compare the predicted value (using the formula from part (v)) to your estimate from the phase plane

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