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Distributed susceptibility: a challenge to persistence theory in infectious disease models

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Publication:1045763
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DOI10.3934/dcdsb.2009.12.865zbMath1179.92054OpenAlexW2063175799MaRDI QIDQ1045763

Horst R. Thieme

Publication date: 16 December 2009

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2009.12.865

zbMATH Keywords

Laplace transformintegral equationdynamical systemuniform persistencetranslation invarianceepidemic modelsemiflowreproduction numbercompact attractorlimit solutions


Mathematics Subject Classification ID

Epidemiology (92D30) Other nonlinear integral equations (45G10) Dynamical systems in biology (37N25) Stability theory for integral equations (45M10) Laplace transform (44A10) Positive solutions of integral equations (45M20)


Related Items

A bi-virus competing model with time-varying susceptibility and repeated infection, Epidemic dynamics with a time-varying susceptibility due to repeated infections, Final size and convergence rate for an epidemic in heterogeneous populations



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