Answered: Table 2.2 Number of susceptible and… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 52E

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Question

The Derbyshire village of Eyam, England, suffered an outbreak of bubonic plague
in 1665–1666. The source of that plague was believed to be the Great Plague of
London. The village is best known for being the "plague village" that chose to iso-
late itself when the plague was discovered there in August 1665 rather than let the
infection spread. Detailed records were preserved. The initial population of Eyam
was 350. In mid-May 1666, nine months after the beginning of the epidemic, there
were 254 susceptibles and 7 infectives. The data about the epidemic in the remain-
ing months are given in Table 2.2. The infective period of the bubonic plague is 11
days.
(a) Estimate a
(b) Use the implicit solution of the SIR model to estimate B.

Table 2.2 Number of susceptible and infected individuals during the Great Plague of Eyam
Date 1666
No. susceptible
No. infected
Mid-May
July 3/4
July 19
August 3/4
August 19
September 3/4 108
September 19 97
Оctober 3/4
254
7
235
14.5
201
22
153.5
29
121
21
8
8
Unknown
Unknown
October 20
83

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