PERSISTENCE, STABILITY AND LEVEL-CROSSINGS IN AN INTEGRODIFFERENTIAL SYSTEM

Authors
Citation
Xz. He et K. Gopalsamy, PERSISTENCE, STABILITY AND LEVEL-CROSSINGS IN AN INTEGRODIFFERENTIAL SYSTEM, Journal of mathematical biology, 32(5), 1994, pp. 395-426
Citations number
28
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
03036812
Volume
32
Issue
5
Year of publication
1994
Pages
395 - 426
Database
ISI
SICI code
0303-6812(1994)32:5<395:PSALIA>2.0.ZU;2-J
Abstract
Dynamical characteristics of an integrodifferential system modelling t wo species competition with hereditary effects are investigated; in pa rticular we derive sufficient conditions for the persistence of the sp ecies, existence of an attracting periodic solution and 'level-crossin gs' of solutions about the periodic solution.