Citation
F. Hui et L. Jibin, On the existence of periodic solutions of a neutral delay model of single-species population growth, J MATH ANAL, 259(1), 2001, pp. 8-17
Citations number
8
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X
→ ACNP
Volume
259
Issue
1
Year of publication
2001
Pages
8 - 17
Database
ISI
SICI code
0022-247X(20010701)259:1<8:OTEOPS>2.0.ZU;2-R
Abstract
In this paper, we employ some new techniques to study the existence of posi
tive periodic solutions of the neutral delay model
N ' (t) = N(t)[a(t) - beta (t)N(t) - b(t)N(t - tau (t)) - c(t)N ' (t - tau
(t))].
Our result gives a correct answer to the open problem 9.2 due to Y. Kuang (
1993, "Delay Differential Equations with Applications in Population Dynamic
s," Academic Press, New York). (C) 2001 Academic Press.