dS/dt jhjfhh

dS/dt = -bSI

dI/dt = bSI -kI

dR/dt = kI

b = cp

c = contacts /population *time

p =1 / contacts

Q Search... 1 Contents Courses Math 222 MATLAB Info Questions 1. Show that (S+I+R) = 0, so that if S(0) + I(0) + R(0) = N then S(t) + I(t) +R(t) = N for all t. 2. Explain how assumptions (A1) (A2), summarized in the diagram, lead to the system of differential equations. 3. Where would the imposition or a stay-at-home order effect this model? In particular, how would the parameters change? 4. Where would widespread adoption of mask wearing effect this model, i.e. how would it effect the parameters? 5. Come up with a feature that you think is missing from the model but straightforward to add to the model, and propose a modification to the model that you think would incorporate this feature. In particular, identify any new variables or terms needed for you modified model. Here are a few ideas: Option 1 Option 2 MATLAB Labs Lab 1 Lab 1 Answer Lab 2 Lab 2 Answer Births of new babies and deaths due to other causes. Different populations that are more or less strict about following best practices to avoid spread. Lab 3: Epidemic modeling Q Search... 1 Contents Courses Math 222 MATLAB Info Questions 1. Show that (S+I+R) = 0, so that if S(0) + I(0) + R(0) = N then S(t) + I(t) +R(t) = N for all t. 2. Explain how assumptions (A1) (A2), summarized in the diagram, lead to the system of differential equations. 3. Where would the imposition or a stay-at-home order effect this model? In particular, how would the parameters change? 4. Where would widespread adoption of mask wearing effect this model, i.e. how would it effect the parameters? 5. Come up with a feature that you think is missing from the model but straightforward to add to the model, and propose a modification to the model that you think would incorporate this feature. In particular, identify any new variables or terms needed for you modified model. Here are a few ideas: Option 1 Option 2 MATLAB Labs Lab 1 Lab 1 Answer Lab 2 Lab 2 Answer Births of new babies and deaths due to other causes. Different populations that are more or less strict about following best practices to avoid spread. Lab 3: Epidemic modeling