Dynamics of a discretized SIR epidemic model with pulse vaccination and time delay

DOI10.1016/j.cam.2011.05.040zbMath1229.92068OpenAlexW1989635505MaRDI QIDQ654122

Emiko Ishiwata, Masaki Sekiguchi

Publication date: 21 December 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2011.05.040

zbMATH Keywords

permanencenonstandard finite difference scheme

Mathematics Subject Classification ID

Epidemiology (92D30) Discrete version of topics in analysis (39A12) Periodic solutions of difference equations (39A23) Applications of difference equations (39A60)

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Existence and stability of a unique almost periodic solution for a prey-predator system with impulsive effects and multiple delays ⋮ Dynamically consistent discrete epidemic model with modified saturated incidence rate ⋮ Time-delay systems with delayed impulses: a unified criterion on asymptotic stability ⋮ Modeling and Predicting the Influence of PM2.5 on Children’s Respiratory Diseases ⋮ Dynamics of vaccination in a time-delayed epidemic model with awareness ⋮ Dynamics of epidemic spreading on connected graphs ⋮ Global attractivity for a class of delayed discrete SIRS epidemic models with general nonlinear incidence ⋮ Analysis of two discrete forms of the classic continuous SIR epidemiological model ⋮ Lyapunov functions for a class of discrete SIRS epidemic models with nonlinear incidence rate and varying population sizes ⋮ Dynamical behavior for a food-chain model with impulsive harvest and digest delay

Cites Work

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• Global behavior of an SEIRS epidemic model with time delays
• A delayed SIRS epidemic model with pulse vaccination
• PERMANENCE OF SOME DISCRETE EPIDEMIC MODELS
• On spurious asymptotic numerical solutions of explicit Runge-Kutta methods

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