Global attractivity and persistence in a discrete population model

Authors
Gyori, I Trofimchuk, SI
Citation
I. Gyori et Si. Trofimchuk, Global attractivity and persistence in a discrete population model, J DIF EQ AP, 6(6), 2000, pp. 647-665
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
ISSN journal
10236198 → ACNP
Volume
6
Issue
6
Year of publication
2000
Pages
647 - 665
Database
ISI
SICI code
1023-6198(2000)6:6<647:GAAPIA>2.0.ZU;2-D
Abstract
We study the attractivity properties of equilibrium points of the scalar de lay difference equation x(n+1) - x(n) = - deltax(n) + pf(x(n-k)) which aris es in many contexts in the ecology. New sufficient conditions for the globa l stability of a unique positive steady state are obtained. These condition s contain some earlier results as particular cases. Some persistence result s for this equation are also proved.