A dynamic programming approach for controlled fractional SIS models
DOI10.1007/S00030-022-00832-WOpenAlexW3186710539MaRDI QIDQ2677736
Simone Cacace, Anna Chiara Lai, Paola Loreti
Publication date: 6 January 2023
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.13316
Epidemiology (92D30) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving partial differential equations (49J20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Numerical analysis (65-XX)
Cites Work
- Unnamed Item
- Unnamed Item
- Bifurcation analysis of an SIS epidemic model with saturated incidence rate and saturated treatment function
- Backward bifurcation of an epidemic model with saturated treatment function
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Modeling immunotherapy of the tumor -- immune interaction
- On the Bellman equation for some unbounded control problems
- Optimal syntheses for state constrained problems with application to optimization of cancer therapies
- Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever
- A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying
- Review of fractional epidemic models
- Asymptotic solutions of Hamilton-Jacobi equations in Euclidean $n$ space
- Hamilton-Jacobi Equations with State Constraints
- Optimal Control with State-Space Constraint I
- Some Properties of Constrained Viscosity Solutions of Hamilton–Jacobi–Bellman Equations
- Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations
- Optimal control of deterministic epidemics
- A deterministic affine-quadratic optimal control problem
This page was built for publication: A dynamic programming approach for controlled fractional SIS models
