  We extend our earlier mean field approximation of the Bolker-Pacala model of
population dynamics by dividing the population into N classes, using a mean
field approximation for each class but also allowing migration between classes
as well as possibly suppressive influence of the population of one class over
another class. For N at least 2, we obtain one symmetric non-trivial
equilibrium for the system and give global limit theorems. For N=2, we
calculate all equilibrium solutions, which, under additional conditions,
include multiple non-trivial equilibria. Lastly, we prove geometric ergodicity
regardless of the number of classes when there is no population suppression
across the classes.
