Thresholds and travelling waves for the geographical spread of infection
- 1 July 1978
- journal article
- Published by Springer Science and Business Media LLC in Journal of Mathematical Biology
- Vol. 6 (2), 109-130
- https://doi.org/10.1007/bf02450783
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.This publication has 10 references indexed in Scilit:
- The epidemic in a closed population with all susceptibles equally vulnerable; some results for large susceptible populations and small initial infectionsActa Biotheoretica, 1978
- Limiting behaviour in an epidemic modelNonlinear Analysis, 1977
- Deterministic epidemic wavesMathematical Proceedings of the Cambridge Philosophical Society, 1976
- Travelling fronts in nonlinear diffusion equationsJournal of Mathematical Biology, 1975
- Nonlinear diffusion in population genetics, combustion, and nerve pulse propagationPublished by Springer Science and Business Media LLC ,1975
- Mathematical Theories of PopulationsPublished by Society for Industrial & Applied Mathematics (SIAM) ,1975
- Possible velocities for a simple epidemicAdvances in Applied Probability, 1972
- Studies on a convolution inequalityArkiv för Matematik, 1963
- Variabilita e Concentrazione.Journal of the Royal Statistical Society. Series A (General), 1957
- A contribution to the mathematical theory of epidemicsProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1927