Some results on optimal control applied to epidemics

DOI10.1016/0025-5564(88)90040-5zbMath0678.92011OpenAlexW2070608787MaRDI QIDQ1124549

David Greenhalgh

Publication date: 1988

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(88)90040-5

zbMATH Keywords

maximum principleswitching timesstochastic modeldeterministic modelhomogeneously mixing populationremoval and isolation of infected people

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Optimality conditions for problems involving randomness (49K45) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (15)

Optimization of control strategies for epidemics in heterogeneous populations with symmetric and asymmetric transmission ⋮ Optimal vaccination strategies -- for whom? ⋮ Cost-minimal immunization in the Greenwood epidemic model ⋮ Models for government intervention during a pandemic ⋮ Nonlinear and dynamic programming for epidemic intervention ⋮ Optimal control of an SIQRS epidemic model with three measures on networks ⋮ Optimality conditions for age-structured control systems. ⋮ Optimal control of heterogeneous systems: basic theory ⋮ Optimal control of epidemics with limited resources ⋮ Resource allocation for epidemic control over short time horizons ⋮ Optimal immunity control and final size minimization by social distancing for the SIR epidemic model ⋮ Optimal control of an SIR epidemic through finite-time non-pharmaceutical intervention ⋮ Optimal control of epidemic size and duration with limited resources ⋮ COVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainability ⋮ Optimal vaccination patterns in age-structured populations: endemic case.

Cites Work

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• Optimum control of epidemics
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• On the optimal control of a deterministic epidemic
• On an epidemic in a stratified population
• THE DETERMINISTIC MODEL OF A SIMPLE EPIDEMIC FOR MORE THAN ONE COMMUNITY

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