ON A PREDATOR-PREY SYSTEM OF HOLLING TYPE

Authors
SUGIE J KOHNO R MIYAZAKI R
Citation
J. Sugie et al., ON A PREDATOR-PREY SYSTEM OF HOLLING TYPE, Proceedings of the American Mathematical Society, 125(7), 1997, pp. 2041-2050
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
7
Year of publication
1997
Pages
2041 - 2050
Database
ISI
SICI code
0002-9939(1997)125:7<2041:OAPSOH>2.0.ZU;2-F
Abstract
We consider the predator-prey system with a fairly general functional response of Holling type and give a necessary and sufficient condition under which this system has exactly one stable limit cycle. Our resul t extends previous results and is an answer to a conjecture which was recently presented by Sugie, Miyamoto and Morino.