Global stability analysis of a delayed susceptible–infected–susceptible epidemic model

DOI10.1080/17513758.2014.931474zbMath1448.92329OpenAlexW2008977157WikidataQ42208298 ScholiaQ42208298MaRDI QIDQ3304595

Calah Paulhus, Xiang-Sheng Wang

Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2014.931474

zbMATH Keywords

global stabilityLyapunov functionaldistributed delaySIS modelLyapunov-Lasalle invariance principle

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20)

Related Items (4)

Dynamics of an anthrax model with distributed delay ⋮ Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation ⋮ Stationary states and spatial patterning in the cellular automaton \textit{SEIS} epidemiology model ⋮ Traveling waves of diffusive disease models with time delay and degeneracy

Cites Work

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• Global analysis on delay epidemiological dynamic models with nonlinear incidence
• Delay differential equations: with applications in population dynamics
• Global stability analysis for SEIS models with \(n\) latent classes
• Complete global stability for an SIR epidemic model with delay - distributed or discrete
• Introduction to functional differential equations
• Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model
• Non-linear incidence and stability of infectious disease models

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