Stable periodic orbits for a predator-prey model with delay

Authors
Cavani, M Lizana, M Smith, HL
Citation
M. Cavani et al., Stable periodic orbits for a predator-prey model with delay, J MATH ANAL, 249(2), 2000, pp. 324-339
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
249
Issue
2
Year of publication
2000
Pages
324 - 339
Database
ISI
SICI code
0022-247X(20000915)249:2<324:SPOFAP>2.0.ZU;2-S
Abstract
In this paper we consider a predator-prey model with time lag which improve s upon that proposed by Cavani and Farkas [1994, Acta Math. Hungar. 63(3), 213-229]. We show that when the model has exactly one non-trivial unstable and hyperbolic equilibrium there exists a stable periodic orbit, (C) 2000 A cademic Press.