IJPAM: Volume 41, No. 6 (2007)

A COMPETITIVE STAGE-STRUCTURED
MODEL WITH TIME DELAY

Shujing Gao$^1$, Zhidong Teng$^2$, Dehui Xie$^3$
$^{1,2}$College of Mathematics and Systems Science
Xinjiang University
Urumqi, Xinjiang, 830046, P.R. CHINA
$^1$e-mail: gaosjmath@tom.com
$^2$e-mail: zhidong@xju.edu.cn
$^{1,3}$College of Mathematics and Computer Science
Gannan Normal University
Ganzhou, Jiangxi, 341000, P.R. CHINA
$^3$e-mail: gdehui@126.com


Abstract.In this paper, we study the asymptotic behavior of a competitive stage-structured model with time delay. Sufficient conditions for a positive equilibrium to be globally asymptotically stable are obtained. Moreover, it is investigated the conditions that the positive equilibrium is unstable for any $\tau \geq 0$.

Received: May 21, 2007

AMS Subject Classification: 34C25, 92D25

Key Words and Phrases: stage structure, competitive system, time delay, global asymptotic stability, boundedness

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 6