The analysis of some characteristic equations arising in population and epidemic models

DOI10.1007/S10884-004-4287-ZzbMath1056.92051OpenAlexW2039603796MaRDI QIDQ1768360

Fred Brauer

Publication date: 15 March 2005

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

Full work available at URL: https://doi.org/10.1007/s10884-004-4287-z

zbMATH Keywords

epidemic modelsCharacteristic equationsinfective period distributions

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Laplace transform (44A10) Volterra integral equations (45D05)

Cites Work

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• The effect of integral conditions in certain equations modelling epidemics and population growth
• Stability analysis for models of diseases without immunity
• Some equations modelling growth processes and gonorrhea epidemics
• An epidemic model involving a threshold
• Models for the spread of universally fatal diseases
• Mathematical Models in Population Biology and Epidemiology
• A CLASS OF VOLTERRA INTEGRAL EQUATIONS ARISING IN DELAYED-RECRUITMENT POPULATION MODELS
• Nonlinear Oscillations in Epidemic Models
• Periodic Solutions of a Periodic Nonlinear Delay Differential Equation
• The differential difference equation for epidemics
• The Epidemic Curve
• A Second Approximation to Soper's Epidemic Curve

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