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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-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. dI ko dt (ii) According to this model, when have 90% of all hamsters been infected? Give your answer rounded to the nearest day.

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-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. dI ko dt (ii) According to this model, when have 90% of all hamsters been infected? Give your answer rounded to the nearest day.

Advanced Engineering Mathematics
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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Part B needed Kindly solve in 20 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed Kindly solve ASAP in the order to get positive feedback with hundred percent efficiency
(a) On a remote island in the pacific, a new viral infection is spreading among a non-indigenous population of hamsters. The number of newly infected individuals I grows according to dl - kol, where ko is a constant and t is measured in days. Since it is suspected that the virus can also infect a native endangered species living on the island, the centre for disease control decides after to days to introduce measures to slow the spread of the virus. After introduction of these measures, I grows according to dl dt where ki is a constant and again, t is measured in days. (i) Solve both differential equations assuming I(0) = 1, and I(to) = Io. (ii) Assume that, initially, the number of newly infected hamsters is doubling every 5 days. After introducing the measures, it is halving every 20 days. Determine ko and k₁ in the models above. = k₁1, 1000 hamsters are infected per day. (iii) The measures are introduced at a point where Io Compute to and round to the nearest day. Also compute how long it takes after introducing the measures until the number of newly infected hamsters drops below 10 per day. Round to the nearest day. If you were not able to determine ko and k₁ in the previous step, you can give your answer depending on ko and k₁.
Transcribed Image Text:(a) On a remote island in the pacific, a new viral infection is spreading among a non-indigenous population of hamsters. The number of newly infected individuals I grows according to dl - kol, where ko is a constant and t is measured in days. Since it is suspected that the virus can also infect a native endangered species living on the island, the centre for disease control decides after to days to introduce measures to slow the spread of the virus. After introduction of these measures, I grows according to dl dt where ki is a constant and again, t is measured in days. (i) Solve both differential equations assuming I(0) = 1, and I(to) = Io. (ii) Assume that, initially, the number of newly infected hamsters is doubling every 5 days. After introducing the measures, it is halving every 20 days. Determine ko and k₁ in the models above. = k₁1, 1000 hamsters are infected per day. (iii) The measures are introduced at a point where Io Compute to and round to the nearest day. Also compute how long it takes after introducing the measures until the number of newly infected hamsters drops below 10 per day. Round to the nearest day. If you were not able to determine ko and k₁ in the previous step, you can give your answer depending on ko and k₁.
introducing the measures until the number of newly infected hamsters drops below 10 per day. Round to the nearest day. If you were not able to determine ko and k₁ in the previous step, you can give your answer depending on ko and k₁. (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 (P-1). dl ko dt - (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:introducing the measures until the number of newly infected hamsters drops below 10 per day. Round to the nearest day. If you were not able to determine ko and k₁ in the previous step, you can give your answer depending on ko and k₁. (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 (P-1). dl ko dt - (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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