An SEIRS epidemic model with two delays and pulse vaccination

DOI10.1007/S11424-008-9105-YzbMath1203.93016OpenAlexW2041325422MaRDI QIDQ611074

Shao-Hong Cai, Lan-Sun Chen, Jian-Jun Jiao

Publication date: 14 December 2010

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-008-9105-y

zbMATH Keywords

delayglobal attractivitypersistencepulse vaccinationSEIRS epidemic model

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15)

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Nonlinear state-dependent feedback control strategy in the SIR epidemic model with resource limitation ⋮ A delayed ratio-dependent predator-prey system with stage-structured and impulsive effect ⋮ Dynamical analysis of a chemostat model with delayed response in growth and pulse input in polluted environment ⋮ Dynamical behaviors of a delayed chemostat model with impulsive diffusion on nutrients ⋮ Periodic solution of a chemostat model with variable yield and impulsive state feedback control ⋮ Dynamical analysis of SIR epidemic model with nonlinear pulse vaccination and lifelong immunity ⋮ A periodic SEIRS epidemic model with a time-dependent latent period ⋮ Dynamics of a plankton-nutrient chemostat model with hibernation and it described by impulsive switched systems ⋮ A delayed chemostat model with impulsive diffusion and input on nutrients

Cites Work

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• A qualitative analysis of a model for the transmission of varicella-zoster virus
• One-dimensional measles dynamics
• Convergence results in SIR epidemic models with varying population sizes
• Optimal harvesting and stability for two-species competitive system with stage structure

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