Global attractivity and convergence to a two-cycle in a difference equation

Authors
Franke, JE Hoag, JT Ladas, G
Citation
Je. Franke et al., Global attractivity and convergence to a two-cycle in a difference equation, J DIF EQ AP, 5(2), 1999, pp. 203-209
Citations number
6
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN journal
10236198 → ACNP
Volume
5
Issue
2
Year of publication
1999
Pages
203 - 209
Database
ISI
SICI code
1023-6198(1999)5:2<203:GAACTA>2.0.ZU;2-O
Abstract
We obtain conditions under which every positive solution of a difference eq uation of the form y(n+1) = y(n-1)f(y(n-1),y(n)), n = 0, 1,2,... is attract ed to its positive equilibrium. We also obtain conditions under which every positive solution approaches a two-cycle, which may be an equilibrium. The results apply to a population model with two age classes.