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.

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(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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