The dynamics and optimal control of a hand-foot-mouth disease model

DOI10.1155/2018/9254794zbMath1431.92141DBLPjournals/cmmm/TanC18OpenAlexW2817113416WikidataQ90726313 ScholiaQ90726313MaRDI QIDQ1632656

Hongwu Tan, Hui Cao

Publication date: 17 December 2018

Published in: Computational \& Mathematical Methods in Medicine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/9254794

zbMATH Keywords

optimal controltransmission dynamicsvaccinationhand-foot-mouth disease model

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Global stability of solutions to ordinary differential equations (34D23) Medical epidemiology (92C60)

Related Items (4)

A fractional system of delay differential equation with nonsingular kernels in modeling hand-foot-mouth disease ⋮ The global dynamics of an age-structured hand-foot-mouth disease model with saturation incidence and time delay ⋮ Transmission dynamics of Hand–Foot–Mouth Disease with partial immunity through non-integer derivative ⋮ Dynamic analysis and optimal control of a fractional order model for hand-foot-mouth disease

Cites Work

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• Threshold dynamics for a HFMD epidemic model with~periodic transmission rate
• A delayed hand-foot-mouth disease model with pulse vaccination strategy
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Stability analysis and optimal control of a hand-foot-mouth disease (HFMD) model

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