Journal of Mathematical Biology

, 6:109

Thresholds and travelling waves for the geographical spread of infection


  • O. Diekmann
    • Mathematisch Centrum

DOI: 10.1007/BF02450783

Cite this article as:
Diekmann, O. J. Math. Biology (1978) 6: 109. doi:10.1007/BF02450783


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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© Springer-Verlag 1978