| 一类浮游生物植化相克时滞抛物方程的稳态解 |
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| 引用本文： | 田灿荣,许飞,刘勇. 一类浮游生物植化相克时滞抛物方程的稳态解[J]. 数学研究及应用, 2005, 25(4): 727-733 |
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| 作者姓名： | 田灿荣 许飞 刘勇 |
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| 作者单位： | 1. 盐城工学院基础部,江苏,盐城,224003;扬州大学数学科学学院,江苏,扬州,225002
2. 扬州大学数学科学学院,江苏,扬州,225002 |
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| 基金项目： | 国家自然科学基金(10171088) |
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| 摘 要： | 本文研究了水生生态系统中种群间能产生抑制毒素的Volterra竞争模型,用上下解的方法讨论了稳态解的渐近行为,得到了系统存在唯一全局稳定正稳态解的充分条件.
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| 关 键 词： | 时滞 上下解 全局稳定 |
| 文章编号： | 1000-341X(2005)04-0727-07 |
| 收稿时间： | 2003-08-25 |
| 修稿时间： | 2003-08-25 |
Stable Solution of a Delay Parabolic Equation of Plankton Allelopathy |
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| TIAN Can-rong,XU Fei and LIU Yong. Stable Solution of a Delay Parabolic Equation of Plankton Allelopathy[J]. Journal of Mathematical Research with Applications, 2005, 25(4): 727-733 |
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| Authors: | TIAN Can-rong XU Fei LIU Yong |
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| Affiliation: | Basic Sci. Dept. Yancheng Institute of Technology; Jiangsu; China; School of Math. & Sci.; Yangzhou University; China;School of Math. & Sci.; Yangzhou University; China;School of Math. & Sci.; Yangzhou University; China |
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| Abstract: | A Volterra competing model arising in plankton allelopathy is considered. The asymptotical behavior of the solution is discussed using upper and lower solutions. A sufficient condition for the system to have a positive globally asymptotically stable solution is obtained. |
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| Keywords: | time delay upper and lower solution globally stable. |
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