An epidemic model with post-contact prophylaxis of distributed length I. Thresholds for disease persistence and extinction

DOI10.1080/17513750801915277zbMath1140.92023OpenAlexW2109308850WikidataQ51889708 ScholiaQ51889708MaRDI QIDQ3520272

Yang Kuang, Horst R. Thieme, Abdessamad Tridane

Publication date: 15 August 2008

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513750801915277

zbMATH Keywords

basic reproduction numberdistributed time delaysemiflowendemic equilibriacompact attractordisease persistencedisease extinction(class) age structurestandard (or frequency-dependent) incidence

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Stability theory of functional-differential equations (34K20) Medical epidemiology (92C60) General theory for ordinary differential equations (34A99) Qualitative behavior of solutions to integral equations (45M99)

Related Items

The dynamics of an epidemic model with targeted antiviral prophylaxis ⋮ Persistence of bacteria and phages in a chemostat ⋮ On the formulation of epidemic models (an appraisal of Kermack and McKendrick) ⋮ An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective

Cites Work

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• Stability in a class of cyclic epidemic models with delay
• On the variation of the solutions of a nonlinear integral equation
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• Nonlinear Oscillations in Epidemic Models
• Endemic Models with Arbitrarily Distributed Periods of Infection II: Fast Disease Dynamics and Permanent Recovery

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