In this paper the asymptotic behavior of solutions of a predator᎐prey system is determined. The model incorporates time delays due to gestation and assumes that the prey disperses between two patches of a heterogeneous environment with barriers between patches and that the predator disperses between
Asymptotic behavior of a competition-diffusion system with time delays
✍ Scribed by Yifu Wang; Yijie Meng
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 469 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
this paper, we study a class of reaction-diffusion systems modelling the dynamics of two competing species with time delay effects. The global asymptotic convergence is established in terms of the rate constants of reaction function, independent of the time delays and the effect of diffusion by the upper-lower solutions and iteration method.
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