Global stability and chaos in a population model with piecewise constant arguments

Authors
Liu, PZ Gopalsamy, K
Citation
Pz. Liu et K. Gopalsamy, Global stability and chaos in a population model with piecewise constant arguments, APPL MATH C, 101(1), 1999, pp. 63-88
Citations number
23
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
101
Issue
1
Year of publication
1999
Pages
63 - 88
Database
ISI
SICI code
0096-3003(199906)101:1<63:GSACIA>2.0.ZU;2-C
Abstract
Sufficient conditions are obtained for the global stability of the positive equilibrium of dx/dt = rx(t){1 - ax(t) - b Sigma(j=0)(infinity) c(j)x([t - j])} It is shown that for certain special cases, solutions of the equation can have chaotic behaviour through period doubling bifurcations. (C) 1999 E lsevier Science Inc. All rights reserved.