The disease chikungunya arrived in the Americas in 2013 and spread rapidly in 2014. While seldom fatal, the disease causes debil
itating joint pain and a high fever. In August 2014, a public challenge was issued to predict the number of cases in each of the affected countries. The winners, Joceline Lega and Heidi Brown, used a logistic model to make their predictions. Let N be the total number of cases of chikungunya in a country by week t, where t is measured since the first cases were recorded in that country. The progress of the disease in three Caribbean countries is represented by the logistic functions:
Dominican Republic= 539. 227/ 1+ 176.8 e^-0.35t
Dominica = 3771/ 1+941.75 e^-0.32t
Guadeloupe= 81,780/ 1+ 27,259 e^-0.32t
When the number of was still small, in which of these three countries did the number of cases grow at the smallest continuous rate?
a. Dominica and Guadeloupe
b. Guadeloupe and the Dominican Republic
c. The Dominican Republic and Dominica
What rate was that? Enter your answer in decimal form, not as a percent.
Dominican Republic= 539. 227/ 1+ 176.8 e^-0.35t
Dominica = 3771/ 1+941.75 e^-0.32t
Guadeloupe= 81,780/ 1+ 27,259 e^-0.32t
When the number of was still small, in which of these three countries did the number of cases grow at the smallest continuous rate?
a. Dominica and Guadeloupe
b. Guadeloupe and the Dominican Republic
c. The Dominican Republic and Dominica
What rate was that? Enter your answer in decimal form, not as a percent.
1 answer:
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Answer:
This tells us that:
Step-by-step explanation:
So we are saying we have scalars, c and d, such that:
.
So we want to find a way to express this as:
Ax=b where x is the scalar vector, .
So we can write this as: