OSCILLATION AND STABILITY IN A SIMPLE GENOTYPE SELECTION MODEL

Authors
GROVE EA KOCIC VL LADAS G LEVINS R
Citation
Ea. Grove et al., OSCILLATION AND STABILITY IN A SIMPLE GENOTYPE SELECTION MODEL, Quarterly of applied mathematics, 52(3), 1994, pp. 499-508
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Quarterly of applied mathematics → ACNP
ISSN journal
0033569X
Volume
52
Issue
3
Year of publication
1994
Pages
499 - 508
Database
ISI
SICI code
0033-569X(1994)52:3<499:OASIAS>2.0.ZU;2-3
Abstract
We study the oscillation, the stability, and the global attractivity o f the simple genotype selection model y(n+1) = y(n)e(beta(1-2y(n-k))/1 -y(n) + y(n)e(beta(1-2y(n-k)), n = 0, 1, ..., where beta is-an-element -of (0, infinity) and k is-an-element-of {0, 1, 2, ...}.