A non-autonomous epidemic model with time delay and vaccination

DOI10.1002/mma.1142zbMath1192.34099OpenAlexW2012762554MaRDI QIDQ3655850

Junli Liu, Tailei Zhang, Zhi-Dong Teng

Publication date: 13 January 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1142

zbMATH Keywords

time delayextinctionpermanencethresholdvaccinationnon-autonomous SIRVS epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic theory of functional-differential equations (34K25) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (4)

Existence and stability of periodic solution of a stage-structured model with state-dependent impulsive effects ⋮ The stability of a stochastic discrete SIVS epidemic model with general nonlinear incidence ⋮ The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence ⋮ A SHORT SURVEY ON DELAY DIFFERENTIAL SYSTEMS WITH PERIODIC COEFFICIENTS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Threshold conditions for a non-autonomous epidemic system describing the population dynamics of dengue
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Mathematics for life science and medicine.
• A periodic epidemic model in a patchy environment
• Uniform persistence and permanence for non-autonomous semiflows in population biology
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Nonautonomous SEIRS and Thron models for epidemiology and cell biology
• Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population
• On a nonautonomous SEIRS model in epidemiology
• The epidemic threshold of vector-borne diseases with seasonality
• Growth rate and basic reproduction number for population models with a simple periodic factor
• Epidemic threshold conditions for seasonally forced SEIR models
• Uniform weak implies uniform strong persistence for non-autonomous semiflows
• Global behaviour of an SIR epidemic model with time delay

This page was built for publication: A non-autonomous epidemic model with time delay and vaccination