Je. Carroll et al., SINKS, SOURCES, AND SPOTTED OWLS - A TERRITORIAL POPULATION-MODEL WITH CONTINUOUS MORTALITY AND DISCRETE BIRTH, Mathematical biosciences, 129(2), 1995, pp. 169-188
A model is developed for the dynamics of a territorial population for
which mortality and the search for suitable territories are treated as
continuous processes and birth occurs as a discrete pulse once each y
ear. It is shown that the trajectories converge either to a fixed annu
al cycle or to extinction for both groups as long as the individual re
productive success and survival rate for the territorial population ex
ceeds that for those individuals not holding territories. Conditions t
hat determine whether the population will persist are provided.