SINKS, SOURCES, AND SPOTTED OWLS - A TERRITORIAL POPULATION-MODEL WITH CONTINUOUS MORTALITY AND DISCRETE BIRTH

Citation
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
Citations number
17
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Mathematics, Miscellaneous","Biology Miscellaneous
Journal title
ISSN journal
00255564
Volume
129
Issue
2
Year of publication
1995
Pages
169 - 188
Database
ISI
SICI code
0025-5564(1995)129:2<169:SSASO->2.0.ZU;2-Y
Abstract
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.