Consider a disease where immunity is lost. On average, after n days, a recovered person becomes susceptible again. Adjust the equations for ds/dt, di/dt, and dr/dt in the SIR model to account for this. The equations should use s(t), i(t), r(t), b, k, and n. As a reminder, the original SIR equations are below, where 1/k is the average number of days a person is infected, and b is the average number of “close contacts” an infected person makes per day. ds/dt=−i(t)*b*s(t) di/dt=i(t)*b*s(t)−ki(t) dr/dt=k*i(t)
Consider a disease where immunity is lost. On average, after n days, a recovered person becomes susceptible again. Adjust the equations for ds/dt, di/dt, and dr/dt in the SIR model to account for this. The equations should use s(t), i(t), r(t), b, k, and n. As a reminder, the original SIR equations are below, where 1/k is the average number of days a person is infected, and b is the average number of “close contacts” an infected person makes per day. ds/dt=−i(t)*b*s(t) di/dt=i(t)*b*s(t)−ki(t) dr/dt=k*i(t)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Consider a disease where immunity is lost. On average, after n days, a recovered person becomes susceptible again. Adjust the equations for ds/dt, di/dt, and dr/dt in the SIR model to account for this. The equations should use s(t), i(t), r(t), b, k, and n.
As a reminder, the original SIR equations are below, where 1/k is the average number of days a person is infected, and b is the average number of “close contacts” an infected person makes per day.
ds/dt=−i(t)*b*s(t)
di/dt=i(t)*b*s(t)−ki(t)
dr/dt=k*i(t)
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