Consider the spreading of COVID19 on an isolated South African village with population size 12 000. A portion of the population travels to nearest city for work and shopping and returns to the village infected with the disease. You would like to predict the number of the people I who will have been infected by some time t (days). Consider the following model dI 0.051(12000 – I) I(0) = 10. dt (a) Solve the model for I as a function of t. (b) Determine the time T3 needed for one-third of the population to be infected.

Consider the spreading of COVID19 on an isolated South African village with population size 12 000. A portion of the population travels to nearest city for work and shopping and returns to the village infected with the disease. You would like to predict the number of the people I who will have been infected by some time t (days). Consider the following model dI 0.051(12000 – I) I(0) = 10. dt (a) Solve the model for I as a function of t. (b) Determine the time T3 needed for one-third of the population to be infected.

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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