Existence of steady state solutions to an epidemic model with screening and their asymptotic stability

DOI10.1016/0096-3003(95)00071-2zbMath0838.92024OpenAlexW2071468014MaRDI QIDQ1908256

Mi-Young Kim

Publication date: 26 February 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00071-2

zbMATH Keywords

reproductive numberendemic staterandom screeninginfection-free stateepidemic model of S-I-R typelocal asymptotic stability of steady states

Mathematics Subject Classification ID

Epidemiology (92D30) Integro-partial differential equations (45K05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (3)

A SIRS epidemic model with infection-age dependence ⋮ Role of optimal screening and treatment on infectious diseases dynamics in presence of self-protection of susceptible ⋮ Zero-Hopf bifurcation for an infection-age structured epidemic model with a nonlinear incidence rate

Cites Work

• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• A mathematical model of epidemics with screening and variable infectivity
• Non-linear age-dependent population dynamics
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• Unnamed Item

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