Periodic solutions of an epidemic model

DOI10.1007/BF00276986zbMath0446.92022WikidataQ43907328 ScholiaQ43907328MaRDI QIDQ1146140

Gustaf Gripenberg

Publication date: 1980

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

zbMATH Keywords

epidemic modelexistence of periodic solutions

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05)

Related Items (12)

Hopf bifurcation for functional and functional differential equations with infinite delay ⋮ Periodic solutions of nonlinear integral equations with infinite memory ⋮ Solvability of Gripenberg's equations of fractional order with perturbation term in weighted LpL_p-spaces on R+{\mathbb{R}}^+ ⋮ Some new integral inequalities and their applications in studying the stability of nonlinear integro-differential equations with time delay ⋮ Parameter identification in epidemic models ⋮ On some new Gronwall-Bellman-Ou-Iang type integral inequalities to study certain epidemic models ⋮ Prelude to Hopf bifurcation in an epidemic model: Analysis of a characteristic equation associated with a nonlinear Volterra integral equation ⋮ On some fixed point theorems in abstract duality pairs ⋮ Unique solvability of fractional quadratic nonlinear integral equations ⋮ Invariant manifolds for Volterra integral equations of convolution type ⋮ Existence and uniqueness of solution for fuzzy integral equations of product type ⋮ Stability of the endemic equilibrium in epidemic models with subpopulations

Cites Work

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• Periodic solutions of an epidemic model with a threshold
• The Hopf bifurcation theorem in infinite dimensions
• Global Solution for a Diffusive Nonlinear Deterministic Epidemic Model
• The front velocity of the simple epidemic
• On some epidemic models
• Limiting behaviour in an epidemic model
• Bifurcation of Periodic Solutions of Integrodifferential Systems with Applications to Time Delay Models in Population Dynamics
• The Existence of Steady Wave Solutions to a Non‐Local Version of the K.P.P. Equation
• Periodic Solutions of a Periodic Nonlinear Delay Differential Equation
• Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations.

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