Optimal control of deterministic epidemics
From MaRDI portal
Publication:5317798
DOI10.1002/oca.678zbMath1069.92518OpenAlexW2046415226MaRDI QIDQ5317798
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 epidemics ⋮ Needle exchange for controlling HIV spread under endogenous infectivity ⋮ Optimal control of the SIR epidemic model based on dynamical systems theory ⋮ Controlling rabies epidemics in Nepal with limited resources: optimal control theory approach ⋮ Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis ⋮ Incentives, lockdown, and testing: from Thucydides' analysis to the COVID-19 pandemic ⋮ Optimization of control strategies for epidemics in heterogeneous populations with symmetric and asymmetric transmission ⋮ Optimal control of infectious disease: information-induced vaccination and limited treatment ⋮ A MEAN FIELD GAME ANALYSIS OF SIR DYNAMICS WITH VACCINATION ⋮ Direct Integrability for State Feedback Optimal Control with Singular Solutions ⋮ A State Dependent Approach to Resource Allocation Strategies ⋮ Optimal control and the value of information for a stochastic epidemiological SIS-model ⋮ How to run a campaign: optimal control of SIS and SIR information epidemics ⋮ Modelling and optimal control of HIV/AIDS prevention through PrEP and limited treatment ⋮ SIR epidemics with state-dependent costs and ICU constraints: a Hamilton-Jacobi verification argument and dual LP algorithms ⋮ Dynamics of an epidemic model with impact of toxins ⋮ Optimal epidemic suppression under an ICU constraint: an analytical solution ⋮ Modeling the role of information and limited optimal treatment on disease prevalence ⋮ Taming the spread of an epidemic by lockdown policies ⋮ Optimal prevention and elimination of infectious diseases ⋮ Optimal control and numerical methods for hybrid stochastic SIS models ⋮ Time-optimal control strategies in SIR epidemic models ⋮ Controlled compartmental models with time-varying population: normalization, viability and comparison ⋮ A dynamic programming approach for controlled fractional SIS models ⋮ Isolation‐oriented Lyapunov‐based design of simultaneous feedback strategies for disease control of SIQR ⋮ Anti‐disturbance inverse optimal control for systems with disturbances ⋮ Determination and estimation of optimal quarantine duration for infectious diseases with application to data analysis of COVID‐19 ⋮ Control Strategies for TB Epidemics ⋮ Credit risk contagion and optimal dual control -- an SIS/R model ⋮ Epidemic model of COVID-19 outbreak by inducing behavioural response in population ⋮ Return-to-normality in a piecewise deterministic Markov SIR+V model with pharmaceutical and non-pharmaceutical interventions ⋮ Optimal interventions of infectious disease ⋮ Optimal adaptive testing for epidemic control: combining molecular and serology tests ⋮ Role of optimal screening and treatment on infectious diseases dynamics in presence of self-protection of susceptible ⋮ Optimal intervention strategies for a SEIR control model of ebola epidemics ⋮ Modeling ITNs usage: optimal promotion programs versus pure voluntary adoptions ⋮ Modeling optimal age-specific vaccination strategies against pandemic influenza ⋮ Optimal Spraying in Biological Control of Pests ⋮ Optimal control of coffee berry borers: synergy between bio-insecticide and traps ⋮ Data-driven optimal control of a SEIR model for COVID-19 ⋮ Optimal control of heterogeneous mutating viruses ⋮ Dynamics of Drug Resistance: Optimal Control of an Infectious Disease ⋮ Unnamed Item ⋮ Optimal control for pandemic influenza: the role of limited antiviral treatment and isolation ⋮ React or wait: which optimal culling strategy to control infectious diseases in wildlife ⋮ Optimal tuberculosis prevention and control strategy from a mathematical model based on real data ⋮ Optimal control of epidemics with limited resources ⋮ On the optimal control of SIR model with Erlang-distributed infectious period: isolation strategies ⋮ An eradication time problem for the SIR model ⋮ Global optimal vaccination in the SIR model: properties of the value function and application to cost-effectiveness analysis ⋮ Beyond just ``flattening the curve: optimal control of epidemics with purely non-pharmaceutical interventions ⋮ How to Coordinate Vaccination and Social Distancing to Mitigate SARS-CoV-2 Outbreaks ⋮ Vaccination and treatment as control interventions in an infectious disease model with their cost optimization ⋮ The role of optimal control in assessing the most cost-effective implementation of a vaccination programme: HPV as a case study ⋮ High order variational numerical schemes with application to Nash-MFG vaccination games ⋮ Optimal immunity control and final size minimization by social distancing for the SIR epidemic model ⋮ The impact of self-protective measures in the optimal interventions for controlling infectious diseases of human population ⋮ Scheduling fixed length quarantines to minimize the total number of fatalities during an epidemic ⋮ Optimal control of a rumor propagation model with latent period in emergency event ⋮ Optimizing vaccination strategies in an age structured SIR model ⋮ Dynamic Programming Viscosity Solution Approach and Its Applications to Optimal Control Problems ⋮ Optimal control of information epidemics modeled as Maki Thompson rumors ⋮ Optimal control applied on an HIV‐1 within‐host model ⋮ Optimal controls of the highly active antiretroviral therapy ⋮ Stochastic epidemic dynamics based on the association between susceptible and recovered individuals ⋮ Optimal control of a SIR epidemic with ICU constraints and target objectives ⋮ ON THE OPTIMAL VACCINATION STRATEGIES FOR HORIZONTALLY AND VERTICALLY TRANSMITTED INFECTIOUS DISEASES ⋮ Optimal control of age-structured population dynamics for spread of universally fatal diseases ⋮ Optimal control of epidemic size and duration with limited resources ⋮ Minimising the use of costly control measures in an epidemic elimination strategy: a simple mathematical model ⋮ Contact rate epidemic control of COVID-19: an equilibrium view ⋮ COVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainability ⋮ DYNAMICS OF AN INFECTIOUS DISEASE IN THE PRESENCE OF SATURATED MEDICAL TREATMENT OF HOLLING TYPE III AND SELF-PROTECTION ⋮ Vaccination in a large population: mean field equilibrium versus social optimum ⋮ Threshold dynamics and optimal control on an age-structured SIRS epidemic model with vaccination ⋮ An optimal feedback control that minimizes the epidemic peak in the SIR model under a budget constraint ⋮ The economics of vaccination ⋮ How Much Testing and Social Distancing is Required to Control COVID-19? Some Insight Based on an Age-Differentiated Compartmental Model ⋮ Optimal Drug Treatment in a Simple Pandemic Switched System Using Polynomial Approach ⋮ Optimal control for an epidemic in populations of varying size ⋮ Optimal control and stability analysis of an epidemic model with education campaign and treatment
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some epidemiological models with nonlinear incidence
- Existence theorems for Lagrange control problems with unbounded time domain
- Optimal isolation policies for deterministic and stochastic epidemics
- Mathematical models for the control of pests and infectious diseases: A survey
- Optimal vaccination schedules in a deterministic model
- Models for the spread of universally fatal diseases
- Some Characterizations of Optimal Trajectories in Control Theory
- A note on the optimal control of carrier-borne epidemics
- Dynamic Optimal Control Models in Advertising: a Survey
- A Survey of the Maximum Principles for Optimal Control Problems with State Constraints
This page was built for publication: Optimal control of deterministic epidemics