Department of Mathematics, Xiang Fan University
Xiangfan, 441053, China
email: yijie_meng@sina.com
Department of Applied Mathematics
Beijing Institute of Technology
Beijing, 100081, China
email: yifu_wang@163.com
Yijie Meng, Yifu Wang
Abstract:
In this paper, we study a class of reaction-diffusion systems
with time delays, which models the dynamics of predator-prey species.
The global asymptotic convergence is established by the upper-lower
solutions and iteration method in terms of the rate constants of
the reaction function, independent of the time delays and the
effect of diffusion.
Submitted September 12, 2005. Published November 24, 2005.
Math Subject Classifications: 35B40.
Key Words: Predator-prey diffusion system; asymptotic behavior;
time delays; upper-lower solutions.
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Yijie Meng Department of Mathematics, Xiang Fan University Xiangfan, 441053, China email: yijie_meng@sina.com |
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| Yifu Wang Department of Applied Mathematics Beijing Institute of Technology Beijing, 100081, China email: yifu_wang@163.com |
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