Velocities of propagation for stepping-stone models of population growth
- 1 June 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 14 (03) , 591-597
- https://doi.org/10.1017/s0021900200025833
Abstract
A population is composed of an infinite number of colonies situated at the integer points of a single co-ordinate axis. Each colony develops according to a simple birth and death process and migration is allowed between nearest neighbours only. Exact expressions are derived for both the asymptotic velocity of propagation and the shape of the wave profile as the population spreads along the axis, and it is shown that they are identical with the saddle point approximations developed by Daniels.Keywords
This publication has 4 references indexed in Scilit:
- Stepping stone models for population growthJournal of Applied Probability, 1974
- Possible velocities for a simple epidemicAdvances in Applied Probability, 1972
- Birth, death and migration processesBiometrika, 1972
- Stochastic birth, death and migration processes for spatially distributed populationsBiometrika, 1968