Author: Lin, Feng; Muthuraman, Kumar; Lawley, Mark
Title: An optimal control theory approach to non-pharmaceutical interventions Document date: 2010_2_19
ID: 0x294f8t_11
Snippet: . Thus, any community can be described by state variable x(t) = (s(t), i(t), r(t), d(t)). 2. The population is homogeneously mixed and people make contact at random. 3. People susceptible are able to get infected when they contact infectious people. Once infected, they move into the infectious compartment. People infected can either recover at a constant rate, g, or die at a constant rate, Ï„. People recovered are assumed to be immune within our .....
Document: . Thus, any community can be described by state variable x(t) = (s(t), i(t), r(t), d(t)). 2. The population is homogeneously mixed and people make contact at random. 3. People susceptible are able to get infected when they contact infectious people. Once infected, they move into the infectious compartment. People infected can either recover at a constant rate, g, or die at a constant rate, τ. People recovered are assumed to be immune within our study horizon. 4. NPI implementation is modeled by the decision variable u(t), where 0 ≤ u(t) ≤ b
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