On the existence of periodic solutions of a neutral delay model of single-species population growth

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:259

Article

Hui, F ; Jibin, L

关键词: single species;    population growth;    neutral delay model;    positive periodic solution;    k-set contraction;   

DOI  :  10.1006/jmaa.2000.7340

来源: Elsevier

【 摘 要 】

In this paper, we employ some new techniques to study the existence of positive 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 Dynamics, Academic Press, New York). (C) 2001 Academic Press.

【 授权许可】

Free