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
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.