Thresholds and Travelling Waves for the Geographical Spread of Infection

Overview

Journal J Math Biol

Date 1978 Jul 27

PMID 712253

Citations 22

Authors

O Diekmann

Affiliations

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Abstract

A nonlinear integral equation of mixed Volterra--Fredholm type describing the spatio-temporal development of an epidemic is derived and analysed. Particular attention is paid to the hair-trigger effect and to the travelling wave problem.

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References

Metz J . The epidemic in a closed population with all susceptibles equally vulnerable; some results for large susceptible populations and small initial infections. Acta Biotheor. 1978; 27(1-2):75-123. DOI: 10.1007/BF00048405. View