The differential susceptibility SIR epidemic model with time delay and pulse vaccination

DOI10.1007/S12190-009-0321-YzbMath1213.34104OpenAlexW2066612477MaRDI QIDQ711523

D. Kharzeev

Publication date: 26 October 2010

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-009-0321-y

zbMATH Keywords

permanencesaturated incidencepulse vaccinationdifferential susceptibility SIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (2)

Impulsive epidemic model with differential susceptibility and stage structure ⋮ A two-strain epidemic model with mutant strain and vaccination

Cites Work

• Unnamed Item
• Extinction and permanence in delayed stage-structure predator-prey system with impulsive effects
• A discrete-time model with vaccination for a measles epidemic
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Pulse vaccination strategy in the SIR epidemic model
• The differential infectivity and staged progression models for the transmission of HIV
• An epidemiological model for HIV/AIDS with proportional recruitment
• Theoretical examination of the pulse vaccination policy in the SIR epidemic model.
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models
• Effects of quarantine in six endemic models for infectious diseases
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Two SIS epidemiologic models with delays
• Complexity of an SIR epidemic dynamics model with impulsive vaccination control
• Differential susceptibility epidemic models
• Impulsive vaccination of SIR epidemic models with nonlinear incidence rates
• A delayed SIRS epidemic model with pulse vaccination
• How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
• Modeling and analysis of a predator-prey model with disease in the prey

This page was built for publication: The differential susceptibility SIR epidemic model with time delay and pulse vaccination