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Given complexity, and to match format, revise for clean math:
An epidemiologist models a disease with growth: infected individuals double every 2 days, but after each day, 10 vaccinated people are removed from the susceptible pool. However, transmission efficiency is so high that the doubling still occurs, and immunity is applied uniformly. After how many full days will the total infected exceed 1,500, starting from 1?
Each 2 days, infected multiply by 2.
Assume discrete daily doubling with delay.
But for simplicity and alignment with format, assume:
Infected doubles every 2 days, regardless of vaccination, and vaccination only reduces cumulative count via immunity, but doesnt stop doubling — i.e., transmission continues.
So after 22 full days, exceeds 1,500.
Alternatively, rapid growth: suppose infected grows by doubling each day after day 2, but before that zero? No.
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