Global asymptotic stability of a periodic solution to an epidemic model

DOI10.1007/BF00275691zbMath0502.92019WikidataQ44167315 ScholiaQ44167315MaRDI QIDQ1173052

Rudolf Volz

Publication date: 1982

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

zbMATH Keywords

existenceuniquenessglobal asymptotic stabilityepidemic modelspatial spreadgrowth of malariamonotone techniques

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Population dynamics (general) (92D25) Partial functional-differential equations (35R10)

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Global behaviour of an SIR epidemic model with time delay ⋮ Existence of travelling waves in a modified vector-disease model ⋮ Global dynamics of a time delayedSIRmodel with varying population size ⋮ The asymptotic speed of spread and traveling waves for a vector disease model ⋮ EPIDEMIC SPREADING AND GLOBAL STABILITY OF A NEW SIS MODEL WITH DELAY ON HETEROGENEOUS NETWORKS ⋮ Dynamic analysis of a delayed model for vector-borne diseases on bipartite networks ⋮ Uniqueness of epidemic waves in a host-vector disease model ⋮ Global analysis and control for a vector-borne epidemic model with multi-edge infection on complex networks ⋮ Global analysis of an SIS model with an infective vector on complex networks ⋮ Global asymptotic stability of a periodic solution to an epidemic model ⋮ Periodic solution and wave front solution for delay equation ⋮ Stability conditions for systems of linear nonautonomous delay differential equations ⋮ Global asymptotic properties of a delay SIR epidemic model with finite incubation times

Cites Work

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• Stability conditions for systems of linear nonautonomous delay differential equations
• Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
• Periodic Solutions of a Periodic Nonlinear Delay Differential Equation