Dynamics of an SIR epidemic model with stage structure and pulse vaccination

DOI10.1186/s13662-016-0853-zzbMath1418.92215OpenAlexW2398023307WikidataQ59467562 ScholiaQ59467562MaRDI QIDQ1725520

Pairote Sattayatham, Airen Zhou, Jian-Jun Jiao

Publication date: 14 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0853-z

zbMATH Keywords

permanencestage structureglobal asymptotical stabilitySIR epidemic modelpulse vaccination

Mathematics Subject Classification ID

Epidemiology (92D30) Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Medical epidemiology (92C60)

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Cites Work

• Unnamed Item
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• Global dynamics for an SIR patchy model with susceptibles dispersal
• Dynamics of an SIR model with vertical transmission and impulsive dispersal
• Global stability of an SIR model with two susceptible groups on complex networks
• Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments
• Analysis of a delayed SIR epidemic model with pulse vaccination
• Qualitative analysis of a SIR epidemic model with saturated treatment rate
• Global stability of an SIR epidemic model with information dependent vaccination
• Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
• Pulse vaccination strategy in the SIR epidemic model
• The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Theoretical examination of the pulse vaccination policy in the SIR epidemic model.
• A delayed SIR model with general nonlinear incidence rate
• Impulsive stabilization and applications to population growth models
• A delayed stage-structured predator-prey model with impulsive stocking on prey and continuous harvesting on predator
• On an SIS epidemic model with stage structure
• An appropriate pest management \(SI\) model with biological and chemical control concern
• The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
• On pulse vaccination strategy in the SIR epidemic model with vertical transmission
• A discrete epidemic model with stage structure
• A time-delay model of single-species growth with stage structure
• GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
• Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
• Analysis of a SIS epidemic model with stage structure and a delay.
• Optimal harvesting and stability for two-species competitive system with stage structure

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