Some infectious disease models with population dynamics and general contact rates

zbMath0722.92014MaRDI QIDQ757287

Fred Brauer

Publication date: 1990

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

endemic equilibriumdisease-free equilibriumcontact numbernonlinear population dynamicsrecovery with full immunityrecovery without immunitysingle asymptotically stable equilibriumspread of infectious diseasestotal population size dependent contact ratesvariable infective periods

Mathematics Subject Classification ID

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

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Models for diseases with exposed periods ⋮ Four SEI endemic models with periodicity and separatrices ⋮ An SIS epidemic model with variable population size and a delay ⋮ The interplay between models and public health policies: regional control for a class of spatially structured epidemics \textit{(think globally, act locally)} ⋮ A mathematical model of infectious diseases ⋮ An SIS epidemic model with stage structure and a delay.

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