A NUMERICAL-MODEL FOR TRACKING POPULATIONS THROUGH A TIME-DEPENDENT STOCHASTIC NETWORK

Citation
Rl. Patterson et D. Snyder, A NUMERICAL-MODEL FOR TRACKING POPULATIONS THROUGH A TIME-DEPENDENT STOCHASTIC NETWORK, Applied mathematics and computation, 61(2-3), 1994, pp. 163-182
Citations number
22
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00963003
Volume
61
Issue
2-3
Year of publication
1994
Pages
163 - 182
Database
ISI
SICI code
0096-3003(1994)61:2-3<163:ANFTPT>2.0.ZU;2-B
Abstract
Units from a population arrive from an external source in a random or fixed pattern at an initial compartment of a D-compartment, linked, ne twork. Once inside the network, individuals move in a statistically in dependent manner among compartments, finally entering absorbing compar tments from which they never depart. A numerical adaptation of the mod el is described and demonstrated. The model is compared to the MacArth ur-Wilson model of island biogeography with respect to differences in statistics of movements that each model is capable of generating. A nu merical example is given.