Threshold dynamics and optimal control on an age-structured SIRS epidemic model with vaccination

DOI10.3934/mbe.2021465zbMath1501.92088OpenAlexW3210182569MaRDI QIDQ2092277

Han Ma, Qi-min Zhang

Publication date: 2 November 2022

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

Full work available at URL: https://doi.org/10.3934/mbe.2021465

zbMATH Keywords

age-structurethreshold dynamicsHamilton-Jacobi-Bellman (HJB) equationSIRS epidemic modeloptional control

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Medical epidemiology (92C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal isolation strategies of emerging infectious diseases with limited resources
• Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model
• Optimal control of epidemics with limited resources
• A neural network solution for fixed-final time optimal control of nonlinear systems
• An iterative method for suboptimal control of linear time-delayed systems
• A delay differential model for pandemic influenza with antiviral treatment
• Time-optimal control strategies in SIR epidemic models
• Coupled, multi-strain epidemic models of mutating pathogens
• Differential equations. Classical to controlled
• Optimal birth control of age-dependent competitive species
• Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays
• Traveling wave solutions for a diffusive age-structured SIR epidemic model
• Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control
• Global stability of an age-structured epidemic model with general Lyapunov functional
• Modelling the evolutionary dynamics of host resistance-related traits in a susceptible-infected community with density-dependent mortality
• Threshold dynamics of an age-space structured SIR model on heterogeneous environment
• Optimal control of epidemic size and duration with limited resources
• The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
• STABILITY ANALYSIS AND APPROXIMATE SOLUTION OF SIR EPIDEMIC MODEL WITH CROWLEY-MARTIN TYPE FUNCTIONAL RESPONSE AND HOLLING TYPE-Ⅱ TREATMENT RATE BY USING HOMOTOPY ANALYSIS METHOD
• Global dynamics of a fractional-order SIR epidemic model with memory
• Optimal control of deterministic epidemics
• A note on an age-of-infection SVIR model with nonlinear incidence

This page was built for publication: Threshold dynamics and optimal control on an age-structured SIRS epidemic model with vaccination