A state dependent pulse control strategy for a SIRS epidemic system

DOI10.1007/s11538-013-9865-yzbMath1275.92093OpenAlexW2059343403WikidataQ42256909 ScholiaQ42256909MaRDI QIDQ383107

Bao-Zhu Guo, Lin-Fei Nie, Zhi-Dong Teng

Publication date: 25 November 2013

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-013-9865-y

zbMATH Keywords

orbital stabilityorder-k periodic solutions

Mathematics Subject Classification ID

Epidemiology (92D30) Application models in control theory (93C95) Developmental biology, pattern formation (92C15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Computational methods for problems pertaining to biology (92-08)

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Cites Work

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• Integrated pest management models and their dynamical behaviour
• Seasonality and mixed vaccination strategy in an epidemic model with vertical transmission
• Impulsive state feedback control of a predator-prey model
• The dynamics of a prey-predator model with impulsive state feedback control
• The dynamics of an impulsive delay SI model with variable coefficients
• Three kinds of TVS in a SIR epidemic model with saturated infectious force and vertical transmission
• Qualitative analysis of a modified Leslie-Gower and Holling-type II predator-prey model with state dependent impulsive effects
• The dynamics of an epidemic model for pest control with impulsive effect
• Pulse vaccination strategy in the SIR epidemic model
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Pulse vaccination strategies in a metapopulation SIR model
• Impulsive vaccination of an SEIRS model with time delay and varying total population size
• Mathematical Structures of Epidemic Systems
• Orbital stability of periodic solutions of autonomous systems with impulse effect