Heteroclinic foliation, global oscillations for the nicholson-bailey model and delay of stability loss

Sze Bi Hsu*, Ming-Chia Li, Weishi Liu, Mikhail Malkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

This paper is concerned with the classical Nicholson-Bailey model [15] defined by fλ(x,y) = (y(1 - e-x), λye -x). We show that for λ = 1 a heteroclinic foliation exists and for λ > 1 global strict oscillations take place. The important phenomenon of delay of stability loss is established for a general class of discrete dynamical systems, and it is applied to the study of nonexistence of periodic orbits for the Nicholson-Bailey model.

Original languageEnglish
Pages (from-to)1465-1492
Number of pages28
JournalDiscrete and Continuous Dynamical Systems
Volume9
Issue number6
DOIs
StatePublished - 1 Nov 2003

Keywords

  • Delay of stability loss
  • Global oscillation
  • Heteroclinic foliation
  • Nicholson-Bailey model
  • Singular perturbation

Fingerprint Dive into the research topics of 'Heteroclinic foliation, global oscillations for the nicholson-bailey model and delay of stability loss'. Together they form a unique fingerprint.

Cite this