In complete sentences, explain what each of the 13 numbered selections on the graph above mean in the context of the cases of Coronavirus 19. Be sure to include the proper units of measure and speak to each mathematical concept listed below.

1. Output value

2. Input & Output values

3. Point of inflection, rate of change, 1st and 2nd derivatives

4. Extrema, rate of change, 1st and 2nd derivative

5. Point of inflection, rate of change, 1st and 2nd derivatives

6. Input & Output values

7. Area

8. Area

9. Input & Output values

10. Point of inflection, rate of change, 1st and 2nd derivatives

11. Input & Output values

12. Point of inflection, rate of change, 1st and 2nd derivatives

13. Extrema, rate of change, 1st and 2nd derivatives

14. How would you compare the areas of 7 and 8 in terms of their relative sizes and what does

    that mean about the number of cases of Coronavirus-19 using the two models? Despite your answer, explain why health care professionals still prefer the controlled model?

15. Compare and contrast the blue mathematical model with the red (individual case isolation) and green (social distancing) models for the spread of COVID-19. What is the danger of lifting control measures too soon when dealing with infectious diseases?

LOWER AND DELAY THE EPIDEMIC PEAK uncontroled transmission control measures slow the spread of disease and reduce burden on hospitals 75 #of UU area with controls - - 10 healthcare system capacity (ICUS, ER vis etc) 19 area ime since first case (months) * control measures may include handwashing teleworking limiting large gatherings, minimizing travel, etc. CO BY 23 Bahn Carl Beriton e GK to Beration Timing and width of peak uncertain due to: Stochasticity in early dynamics Heterogeneities in contact patterns Spatial variation Uncertainty in key epidemiological parameters Cases being reported Social distancing flattens curve Risk of resurgence following lifting of interventions Epidemic growth, doubling time 4-7 days 2 Months since transmission established LOWER AND DELAY THE EPIDEMIC PEAK uncontroled transmission control measures slow the spread of disease and reduce burden on hospitals 75 #of UU area with controls - - 10 healthcare system capacity (ICUS, ER vis etc) 19 area ime since first case (months) * control measures may include handwashing teleworking limiting large gatherings, minimizing travel, etc. CO BY 23 Bahn Carl Beriton e GK to Beration Timing and width of peak uncertain due to: Stochasticity in early dynamics Heterogeneities in contact patterns Spatial variation Uncertainty in key epidemiological parameters Cases being reported Social distancing flattens curve Risk of resurgence following lifting of interventions Epidemic growth, doubling time 4-7 days 2 Months since transmission established