| 一类非线性时滞扩散竞争系统的一致持续生存和全局吸引性 |
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| 引用本文： | 刘小玲. 一类非线性时滞扩散竞争系统的一致持续生存和全局吸引性[J]. 福州大学学报(自然科学版), 2007, 35(4): 502-506 |
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| 作者姓名： | 刘小玲 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建,福州,350002 |
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| 摘 要： | 讨论了一类非线性时滞扩散竞争系统,该系统包括两个斑块,两个竞争种群:其中一种群可以在两个斑块中自由扩散,但另一种群限制在第一斑块中.通过利用微分方程比较定理和构造适当的Lyapunov泛函,得到了保证系统一致持续生存和全局吸引的充分条件.
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| 关 键 词： | 非线性 竞争 扩散 一致持续生存 全局吸引性 |
| 文章编号： | 1000-2243(2007)04-0502-05 |
| 修稿时间： | 2006-10-17 |
Uniform persistence and global attractivity of a nonlinear competition model with diffusion and time delay |
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| LIU Xiao-ling. Uniform persistence and global attractivity of a nonlinear competition model with diffusion and time delay[J]. Journal of Fuzhou University(Natural Science Edition), 2007, 35(4): 502-506 |
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| Authors: | LIU Xiao-ling |
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| Affiliation: | LIU Xiao-ling(College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China) |
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| Abstract: | Deals with a delayed nonlinear diffusive competing system.The system,which is composed of two patches,has two competing species: one species can diffuse between two patches,but the other one is confined to the first patch.By using differential equation comparison theorem and constructing a suitable Lyapunov functional,some sufficient conditions which guarantee the uniform persistence and global attractivity of the model are obtained,which generalize some known results. |
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| Keywords: | nonlinear competition diffusion uniform persistence global attractivity |
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