An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective

DOI10.1051/mmnp:2008052zbMath1337.34076OpenAlexW2149601889WikidataQ56786974 ScholiaQ56786974MaRDI QIDQ2786787

Horst R. Thieme, Yang Kuang, Abdessamad Tridane

Publication date: 23 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp:2008052

zbMATH Keywords

instabilityperiodic solutionsfrequency domainbasic reproduction numberdistributed time delaystandard incidencedisease persistence(class) age structureglobal stability of endemic equilibria

Mathematics Subject Classification ID

Epidemiology (92D30) Medical applications (general) (92C50) Stability theory of functional-differential equations (34K20)

Related Items (6)

The dynamics of an epidemic model with targeted antiviral prophylaxis ⋮ A Leslie-Gower Holling-type II ecoepidemic model ⋮ Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators ⋮ Hopf bifurcation of an age-structured compartmental pest-pathogen model ⋮ On the formulation of epidemic models (an appraisal of Kermack and McKendrick) ⋮ Ecoepidemic models with disease incubation and selective hunting

Cites Work

• Stability in a class of cyclic epidemic models with delay
• On the variation of the solutions of a nonlinear integral equation
• An epidemic model with post-contact prophylaxis of distributed length I. Thresholds for disease persistence and extinction
• Nonlinear Oscillations in Epidemic Models
• One-Parameter Semigroups for Linear Evolution Equations
• Endemic Models with Arbitrarily Distributed Periods of Infection II: Fast Disease Dynamics and Permanent Recovery
• The Role of Coinfection in Multidisease Dynamics
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