Problem 2

Please answer part 1 and 2. Thanks

Self Check:

Parameters: avg contacted, 10, number of days infectious, 1.25

Starting values: S=500, I=100, R=0, total = 600

Ending values S=XX5.X5, I=XX4.X4, R=X.X1, total = 600.00

Starting values: S=2000, I=100, R=0, total = 2100

Ending values S=XXX5.X2, I=XX4.X4, R=X.X4, total = 2100.00

Part 1 [Equations] We can approximate how S, I, and R change by taking a small step h (in days) forward in time. If So is the starting value for S, then after h time S is approximately: StUse the same type of calculations for R and I(e.g. R After calculating new values for S, I, and R, you can repeat the calculations to find the values at the next time step R emember: To calculate the second step (S2) you need to use the values from the previous step (S, Ri, ). The table below demonstrates the manual calculation for S. Initial values 10 b 1.25 R 0 (no one's recovered yet) 100 (100 people have been infected) h 0.05 days To do: 1. Calculate two time steps for a starting value of S-500 2. Calculate two time steps for a starting value of S 2000 Part 1 [Equations] We can approximate how S, I, and R change by taking a small step h (in days) forward in time. If So is the starting value for S, then after h time S is approximately: StUse the same type of calculations for R and I(e.g. R After calculating new values for S, I, and R, you can repeat the calculations to find the values at the next time step R emember: To calculate the second step (S2) you need to use the values from the previous step (S, Ri, ). The table below demonstrates the manual calculation for S. Initial values 10 b 1.25 R 0 (no one's recovered yet) 100 (100 people have been infected) h 0.05 days To do: 1. Calculate two time steps for a starting value of S-500 2. Calculate two time steps for a starting value of S 2000