On December 28th 2021, 110 students attend a legal rave in Mumbai. While having fun, but unbeknownst
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On December 28th 2021, 110 students attend a legal rave in Mumbai. While having fun, but unbeknownst to them, 12 of the participants had just been exposed (and can not transmit yet) to COVID-19, while other 12 are already infectious (and can transmit further). The infection starts to spread in the City according to the following model
where t represents time (1 unit = 1 day), and the parameters are
We here assume equal birth and death rates, and the parameter values N = 350, 000, a = 1/14, β = 10 and γ = TR/TC and m = TD/TC (in the notations from the below table)
- Solve the problem numerically and discuss the dynamics of the population compartments (S, E, I, R) if the conditions stay the same.
- Estimate in how many days will the 30 beds available in the ICU at Hospital be filled. Discuss the emergency budget required to order extra beds at $300k/unit, to accommodate all ICU patients at the peak.
- Discuss some actions for “flattening the curve” and model their impact.
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