Asymptotically periodic solutions to Volterra integral equations in epidemic models

DOI10.1016/0022-247X(85)90310-5zbMath0589.92017MaRDI QIDQ1074527

Thomas L. Cromer

Publication date: 1985

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultsasymptotically periodic solutionsSIS epidemicsepidemics of gonorrheainfective populationsoscillations inscalar nonlinear Volterra integral equation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05)

Related Items (6)

Asymptotic periodicity of nonlinear discrete Volterra equations and applications ⋮ Seasonal control for an endemic disease with seasonal fluctuations ⋮ Global existence of solutions to a system of integral equations related to an epidemic model ⋮ Volterra equations driven by rough signals ⋮ Analysis and control of a communicable disease ⋮ Infinite horizon backward stochastic Volterra integral equations and discounted control problems

Cites Work

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• Constant rate harvesting of populations governed by Volterra integral equations
• A periodicity threshold theorem for epidemics and population growth
• On periodic solutions of a delay integral equation modelling epidemics
• Asymptotic behavior in a deterministic epidemic model
• On a nonlinear Volterra integral equation
• Nonlinear Oscillations in Epidemic Models
• A Periodicity Threshold Theorem for Some Nonlinear Integral Equations
• On a Nonlinear Integral Equation for Population Growth Problems
• Almost-periodic behavior of solutions of a nonlinear Volterra system.

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