calculating the reproductive ratio. reproductive ratio, r 0 the average number of new infections we...

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Calculating the Calculating the Reproductive Reproductive Ratio Ratio

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Page 1: Calculating the Reproductive Ratio. Reproductive Ratio, R 0 The average number of new infections we expect to see for each infected person in the epidemic

Calculating the Calculating the Reproductive Reproductive RatioRatio

Page 2: Calculating the Reproductive Ratio. Reproductive Ratio, R 0 The average number of new infections we expect to see for each infected person in the epidemic

Reproductive Reproductive Ratio, RRatio, R00

• The average number of new infections we expect to see for each infected person in the epidemic.

• For Standing Disease, R0 is 2

Step 0 1 2 3 4 5 6 7

No. new infection

s1 2 4 8 16 32 64 128

Page 3: Calculating the Reproductive Ratio. Reproductive Ratio, R 0 The average number of new infections we expect to see for each infected person in the epidemic

Counter Counter PlaguePlague11stst scenario scenario

No. on die

No. of new infections

1 0

2 0

3 1

4 1

5 2

6 3

What is the average number of new infections we expect to see for each infected person?•Use the probability of each outcome to calculate R0 for this scenario.

Page 4: Calculating the Reproductive Ratio. Reproductive Ratio, R 0 The average number of new infections we expect to see for each infected person in the epidemic

Counter Counter PlaguePlague11stst scenario scenario No.

on die

No. of new

infections

Av. no. new

infections

expected

1 0 0

2 0 0

3 1

4 1

5 2

6 3

What is the average number of new infections we expect to see for each infected person?•Use the probability of each outcome to calculate R0 for this scenario.

R0 =

1

61

62

63

6

7

6

Page 5: Calculating the Reproductive Ratio. Reproductive Ratio, R 0 The average number of new infections we expect to see for each infected person in the epidemic

Counter Counter PlaguePlague22ndnd scenario scenario

No. on die

No. of new infections

1 0

2 0

3 1

4 1

5 1

6 2

What is the average number of new infections we expect to see for each infected person?•Use the probability of each outcome to calculate R0 for this scenario.

Page 6: Calculating the Reproductive Ratio. Reproductive Ratio, R 0 The average number of new infections we expect to see for each infected person in the epidemic

Counter Counter PlaguePlague22ndnd scenario scenario No.

on die

No. of new

infections

Av. no. new

infections

expected

1 0 0

2 0 0

3 1

4 1

5 1

6 2

What is the average number of new infections we expect to see for each infected person?•Use the probability of each outcome to calculate R0 for this scenario.

R0 =

1

61

61

62

6

5

6

Page 7: Calculating the Reproductive Ratio. Reproductive Ratio, R 0 The average number of new infections we expect to see for each infected person in the epidemic

Counter Counter PlaguePlague

No. on die

No. of new

infections

Av. no. new

infections

expected

1 ? ?

2 ? ?

3 ? ?

4 ? ?

5 ? ?

6 ? ?

How could you set up Counter Plague so that R0 equals:

1.54

•What is the largest value of R0 you can get in Counter Plague?

2

3