Optimal control of deterministic epidemics

From MaRDI portal
Publication:5317798

DOI10.1002/oca.678zbMath1069.92518OpenAlexW2046415226MaRDI QIDQ5317798

Horst Behncke

Publication date: 21 September 2005

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.678




Related Items (81)

Optimal control of the transmission rate in compartmental epidemicsNeedle exchange for controlling HIV spread under endogenous infectivityOptimal control of the SIR epidemic model based on dynamical systems theoryControlling rabies epidemics in Nepal with limited resources: optimal control theory approachDeciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysisIncentives, lockdown, and testing: from Thucydides' analysis to the COVID-19 pandemicOptimization of control strategies for epidemics in heterogeneous populations with symmetric and asymmetric transmissionOptimal control of infectious disease: information-induced vaccination and limited treatmentA MEAN FIELD GAME ANALYSIS OF SIR DYNAMICS WITH VACCINATIONDirect Integrability for State Feedback Optimal Control with Singular SolutionsA State Dependent Approach to Resource Allocation StrategiesOptimal control and the value of information for a stochastic epidemiological SIS-modelHow to run a campaign: optimal control of SIS and SIR information epidemicsModelling and optimal control of HIV/AIDS prevention through PrEP and limited treatmentSIR epidemics with state-dependent costs and ICU constraints: a Hamilton-Jacobi verification argument and dual LP algorithmsDynamics of an epidemic model with impact of toxinsOptimal epidemic suppression under an ICU constraint: an analytical solutionModeling the role of information and limited optimal treatment on disease prevalenceTaming the spread of an epidemic by lockdown policiesOptimal prevention and elimination of infectious diseasesOptimal control and numerical methods for hybrid stochastic SIS modelsTime-optimal control strategies in SIR epidemic modelsControlled compartmental models with time-varying population: normalization, viability and comparisonA dynamic programming approach for controlled fractional SIS modelsIsolation‐oriented Lyapunov‐based design of simultaneous feedback strategies for disease control of SIQRAnti‐disturbance inverse optimal control for systems with disturbancesDetermination and estimation of optimal quarantine duration for infectious diseases with application to data analysis of COVID‐19Control Strategies for TB EpidemicsCredit risk contagion and optimal dual control -- an SIS/R modelEpidemic model of COVID-19 outbreak by inducing behavioural response in populationReturn-to-normality in a piecewise deterministic Markov SIR+V model with pharmaceutical and non-pharmaceutical interventionsOptimal interventions of infectious diseaseOptimal adaptive testing for epidemic control: combining molecular and serology testsRole of optimal screening and treatment on infectious diseases dynamics in presence of self-protection of susceptibleOptimal intervention strategies for a SEIR control model of ebola epidemicsModeling ITNs usage: optimal promotion programs versus pure voluntary adoptionsModeling optimal age-specific vaccination strategies against pandemic influenzaOptimal Spraying in Biological Control of PestsOptimal control of coffee berry borers: synergy between bio-insecticide and trapsData-driven optimal control of a SEIR model for COVID-19Optimal control of heterogeneous mutating virusesDynamics of Drug Resistance: Optimal Control of an Infectious DiseaseUnnamed ItemOptimal control for pandemic influenza: the role of limited antiviral treatment and isolationReact or wait: which optimal culling strategy to control infectious diseases in wildlifeOptimal tuberculosis prevention and control strategy from a mathematical model based on real dataOptimal control of epidemics with limited resourcesOn the optimal control of SIR model with Erlang-distributed infectious period: isolation strategiesAn eradication time problem for the SIR modelGlobal optimal vaccination in the SIR model: properties of the value function and application to cost-effectiveness analysisBeyond just ``flattening the curve: optimal control of epidemics with purely non-pharmaceutical interventionsHow to Coordinate Vaccination and Social Distancing to Mitigate SARS-CoV-2 OutbreaksVaccination and treatment as control interventions in an infectious disease model with their cost optimizationThe role of optimal control in assessing the most cost-effective implementation of a vaccination programme: HPV as a case studyHigh order variational numerical schemes with application to Nash-MFG vaccination gamesOptimal immunity control and final size minimization by social distancing for the SIR epidemic modelThe impact of self-protective measures in the optimal interventions for controlling infectious diseases of human populationScheduling fixed length quarantines to minimize the total number of fatalities during an epidemicOptimal control of a rumor propagation model with latent period in emergency eventOptimizing vaccination strategies in an age structured SIR modelDynamic Programming Viscosity Solution Approach and Its Applications to Optimal Control ProblemsOptimal control of information epidemics modeled as Maki Thompson rumorsOptimal control applied on an HIV‐1 within‐host modelOptimal controls of the highly active antiretroviral therapyStochastic epidemic dynamics based on the association between susceptible and recovered individualsOptimal control of a SIR epidemic with ICU constraints and target objectivesON THE OPTIMAL VACCINATION STRATEGIES FOR HORIZONTALLY AND VERTICALLY TRANSMITTED INFECTIOUS DISEASESOptimal control of age-structured population dynamics for spread of universally fatal diseasesOptimal control of epidemic size and duration with limited resourcesMinimising the use of costly control measures in an epidemic elimination strategy: a simple mathematical modelContact rate epidemic control of COVID-19: an equilibrium viewCOVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainabilityDYNAMICS OF AN INFECTIOUS DISEASE IN THE PRESENCE OF SATURATED MEDICAL TREATMENT OF HOLLING TYPE III AND SELF-PROTECTIONVaccination in a large population: mean field equilibrium versus social optimumThreshold dynamics and optimal control on an age-structured SIRS epidemic model with vaccinationAn optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraintThe economics of vaccinationHow Much Testing and Social Distancing is Required to Control COVID-19? Some Insight Based on an Age-Differentiated Compartmental ModelOptimal Drug Treatment in a Simple Pandemic Switched System Using Polynomial ApproachOptimal control for an epidemic in populations of varying sizeOptimal control and stability analysis of an epidemic model with education campaign and treatment



Cites Work


This page was built for publication: Optimal control of deterministic epidemics