Research suggests that those hamsters that survive the infection cannot be infected again. This results in an alternative model of the spread of the virus according to I(P-1). (i) Give a particular solution for I in this scenario using I(0) = 1, an updated estimate of ko = and an estimated population of hamsters on the island of P = 1 000 000. dI ko dt = 0.1, (ii) According to this model, when have 90% of all hamsters been infected? Give your answer rounded to the nearest day.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Hi, I have a differential equations (logistics) question to ask. Thanks
(b) Research suggests that those hamsters that survive the infection cannot be infected again. This results in
an alternative model of the spread of the virus according to
dI
dt
=
1(P
I(P-I).
(i) Give a particular solution for I in this scenario using I(0) : 1, an updated estimate of ko = 0.1,
=
and an estimated population of hamsters on the island of P = 1 000 000.
(ii) According to this model, when have 90% of all hamsters been infected? Give your answer rounded
to the nearest day.
Transcribed Image Text:(b) Research suggests that those hamsters that survive the infection cannot be infected again. This results in an alternative model of the spread of the virus according to dI dt = 1(P I(P-I). (i) Give a particular solution for I in this scenario using I(0) : 1, an updated estimate of ko = 0.1, = and an estimated population of hamsters on the island of P = 1 000 000. (ii) According to this model, when have 90% of all hamsters been infected? Give your answer rounded to the nearest day.
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