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Waveforms and velocities for non-nearest-neighbour contact distributions

Published online by Cambridge University Press:  14 July 2016

Eric Renshaw
Eric Renshaw*
Affiliation:
University of Edinburgh
*
∗Postal address: Department of Statistics, James Clerk Maxwell Building, The King's Buildings, Mayfield Rd., Edinburgh EH9 3JZ, U.K.
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Abstract

This paper examines a model for ecological and epidemiological spread. Expressions are derived for mean waveforms and expectation velocities for two specific contact distributions. Whilst one distribution may be bounded above by a negative exponential function the other may not, and these two situations respectively give rise to finite and infinite asymptotic expectation velocities.

Keywords

BIRTHDEATHMIGRATIONSPATIAL POPULATION PROCESSEPIDEMICVELOCITYWAVEFORMCONTACT DISTRIBUTIONSADDLE-POINT APPROXIMATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 1 , March 1979 , pp. 1 - 11
Copyright
Copyright © Applied Probability Trust 1979 

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