Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment

DOI10.4064/ap3703-9-2015zbMath1338.34094OpenAlexW2563278870MaRDI QIDQ2804256

Bingwen Liu

Publication date: 28 April 2016

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/ap3703-9-2015

zbMATH Keywords

positive periodic solutionglobal exponential stabilitySIR modelperiodic incidence rate

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

Globalexponential stability of an epidemic model with saturated and periodic incidence rate ⋮ Positive periodic solutions for an generalized SIS epidemic model with time-varying coefficients and delays

Cites Work

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• New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks
• Global exponential convergence of an epidemic model with time-varying delays
• Exponential convergence of an epidemic model with time-varying delays
• Global exponential stability of positive periodic solutions for a delayed Nicholson's blowflies model
• Periodic solutions of an epidemic model with saturated treatment
• An Introduction to Delay Differential Equations with Applications to the Life Sciences
• Seasonally forced disease dynamics explored as switching between attractors

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