OSCILLATIONS AND GLOBAL ATTRACTIVITY IN DELAY-DIFFERENTIAL EQUATIONS OF POPULATION-DYNAMICS

Authors
ZAGHROUT A AMMAR A ELSHEIKH MMA
Citation
A. Zaghrout et al., OSCILLATIONS AND GLOBAL ATTRACTIVITY IN DELAY-DIFFERENTIAL EQUATIONS OF POPULATION-DYNAMICS, Applied mathematics and computation, 77(2-3), 1996, pp. 195-204
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics and computation → ACNP
ISSN journal
00963003
Volume
77
Issue
2-3
Year of publication
1996
Pages
195 - 204
Database
ISI
SICI code
0096-3003(1996)77:2-3<195:OAGAID>2.0.ZU;2-A
Abstract
The oscillatory and asymptotic behavior of all positive solutions of x '(t) = beta(0) theta(n)/(theta(n) + x(n)(t - tau)) - gamma x(t) about its positive steady state x are studied, where x(t) denotes the densi ty of mature cells in blood circulation, tau is the time delay between the production of immature cells in the bone marrow, and beta(0), the ta(n), gamma are positive constants.