Enumerative numerical solution for optimal control using treatment and vaccination for an SIS epidemic model

DOI10.11145/j.biomath.2019.12.137zbMath1506.92057OpenAlexW2995424824MaRDI QIDQ5050574

Christopher Thron, Vianney Mbatumutima, Leonard Todjihounde

Publication date: 17 November 2022

Published in: BIOMATH (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11145/j.biomath.2019.12.137

zbMATH Keywords

optimal controlnumerical methodvaccinationglobal optimumepidemic modeltreatmentenumerative method

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Medical epidemiology (92C60) Numerical methods in optimal control (49M99)

Related Items (3)

Enumerative numerical solution for optimal control using treatment and vaccination for an SIS epidemic model ⋮ Mathematical modeling and analysis of Covid-19 infection spreads in India with restricted optimal treatment on disease incidence ⋮ Cost effective reproduction number based strategies for reducing deaths from COVID-19

Uses Software

• SOCS

Cites Work

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• Optimal control of a vector borne disease with horizontal transmission
• Presentation of malaria epidemics using multiple optimal controls
• Stability analysis and optimal control of pine wilt disease with horizontal transmission in vector population
• A nonstandard numerical scheme of predictor-corrector type for epidemic models
• A simple mathematical model for genetic effects in pneumococcal carriage and transmission
• Prevention and medication of HIV/AIDA: the case of Botswana
• Qualitative analyses of communicable disease models
• Numerical solution of constrained optimal control problems with parameters
• An efficient method based on hybrid functions for Fredholm integral equation of the first kind with convergence analysis
• Global analysis of SIS epidemic models with variable total population size
• Numerical analysis of fractional order epidemic model of childhood diseases
• Algorithm for overcoming the curse of dimensionality for state-dependent Hamilton-Jacobi equations
• Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations
• Parameter estimation for the stochastic SIS epidemic model
• Numerical Solution of Optimal Control Problems with Convex Control Constraints
• An SIS epidemiology game with two subpopulations
• Stochastic and deterministic analysis of SIS household epidemics
• Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
• Numerical solution of optimal control problems with explicit and implicit switches
• Rational Epidemics and Their Public Control
• Enumerative numerical solution for optimal control using treatment and vaccination for an SIS epidemic model
• A computational method for optimal control problem of time-varying state-delayed systems by Haar wavelets
• Sufficient Conditions for the Optimal Control of Nonlinear Systems

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