| 具时滞与不具时滞互惠模型抛物系统解的性质 |
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| 引用本文： | 凌智,周玲,黄春妍.具时滞与不具时滞互惠模型抛物系统解的性质[J].扬州大学学报(自然科学版),2003,6(4):11-14. |
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| 作者姓名： | 凌智 周玲 黄春妍 |
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| 作者单位： | 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： | 对一类3种群互惠模型的抛物系统进行了研究．结果表明：在具时滞的情况下，解总是整体存在的；在不具时滞的情况下，用上、下解的方法证明了当种群自身的竞争强于种群间的互惠影响时解整体存在，反之则可能爆破．
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| 关 键 词： | 时滞 抛物方程组 整体存在性 爆破 上解 下解 |
| 文章编号： | 1007-824X(2003)04-0011-04 |
SOME PROPERTIES OF SOLUTIONS TO THE SYSTEM WITH AND WITHOUT TIME DELAYS IN A MUTUALISTIC MODEL |
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| LING Zhi ZHOU Ling HUANG Chun-yan.SOME PROPERTIES OF SOLUTIONS TO THE SYSTEM WITH AND WITHOUT TIME DELAYS IN A MUTUALISTIC MODEL[J].Journal of Yangzhou University(Natural Science Edition),2003,6(4):11-14. |
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| Authors: | LING Zhi ZHOU Ling HUANG Chun-yan |
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| Abstract: | The parabolic system in a three species mutualistic model is studied. It is shown that any solution with time delays is global. It is also shown by the method of upper and lower solutions that the solution without time delays is global if the competition is stronger than the cooperation among three species, otherwise the solution may blow up. |
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| Keywords: | time delays parabolic system global existence blow up upper solution lower solution |
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