Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is the number of N individuals infected at time t, then y= where k is the infection rate. The maximum infection rate 1+ (N-1) k occurs at time tm m In (N-1) k An island has a native population of 1341, and a sailor from a visiting ship introduces a disease which has an infection rate of k=0.22. Complete parts a through d. COLLE a. Write an equation for the number of natives who remain uninfected. Let z represent the number of uninfected natives.
Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is the number of N individuals infected at time t, then y= where k is the infection rate. The maximum infection rate 1+ (N-1) k occurs at time tm m In (N-1) k An island has a native population of 1341, and a sailor from a visiting ship introduces a disease which has an infection rate of k=0.22. Complete parts a through d. COLLE a. Write an equation for the number of natives who remain uninfected. Let z represent the number of uninfected natives.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is the number of
N
individuals infected at time t, then y=
where k is the infection rate. The maximum infection rate
1+ (N-1)e
occurs at time tm =
In (N-1)
k
kt
An island has a native population of 1341, and a sailor from a visiting ship introduces a disease which has an
infection rate of k=0.22. Complete parts a through d.
Z=
COLL
a. Write an equation for the number of natives who remain uninfected. Let z represent the number of uninfected
natives.
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