An unidentified virus infects a small town. Each month 80 new cases are reported, and through recovery or death 1% of th

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An Unidentified Virus Infects A Small Town Each Month 80 New Cases Are Reported And Through Recovery Or Death 1 Of Th 1 (118.38 KiB) Viewed 15 times

An unidentified virus infects a small town. Each month 80 new cases are reported, and through recovery or death 1% of the infected population no longer have the disease. Let V be the number of people at time t who have the virus. Then dV dt - 80 = 数字 1 100 V. Initially, nobody has the disease. The solution to this initial value problem is: V(t) = Hence we can predict (to the nearest integer) the number of infected people after • 5 months: V(5) = 数字 10 months: V(10) • 100 months: V(100) = 数字 As time goes on, we expect that the number of infected people tends to *