| 互惠Shigesada-Kawasaki-Teramoto模型整体解的存在性和稳定性 |
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| 引用本文： | 伏升茂,温紫娟,宋雪梅.互惠Shigesada-Kawasaki-Teramoto模型整体解的存在性和稳定性[J].兰州大学学报(自然科学版),2006,42(4):121-126. |
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| 作者姓名： | 伏升茂 温紫娟 宋雪梅 |
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| 作者单位： | 1. 西北师范大学,数学与信息科学学院,甘肃,兰州,730070
2. 兰州城市学院,数学系,甘肃,兰州,730070 |
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| 基金项目： | 甘肃省自然科学基金，国家高技术研究发展计划(863计划) |
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| 摘 要： | 应用能量估计方法证明了两种群Shigesada-Kawasaki-Teramoto互惠模型的整体解的存在唯一性和一致有界性.通过构造Lyapunov函数给出了该模型正平衡点全局渐近稳定的充分条件.
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| 关 键 词： | 交错扩散 整体解 一致有界性 稳定性 弱互惠 |
| 文章编号： | 0455-2059（2006）04-0121-06 |
| 收稿时间： | 2004-11-06 |
| 修稿时间： | 2004-11-06 |
Existence and stability of global solutions for a cooperative Shigesada-Kawasaki-Teramoto model |
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| Fu Sheng-mao,Wen Zi-juan,SONG Xue-mei.Existence and stability of global solutions for a cooperative Shigesada-Kawasaki-Teramoto model[J].Journal of Lanzhou University(Natural Science),2006,42(4):121-126. |
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| Authors: | Fu Sheng-mao Wen Zi-juan SONG Xue-mei |
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| Institution: | 1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China; 2. Department of Mathematics, Lanzhou City College, Lanzhou 730070, China |
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| Abstract: | The method of energy-type estimate is employed in order to prove the existence, uniqueness and uniform boundedness of global solutions for a two-species Shigesada-Kawasaki-Teramoto cooperative model.By constructing Lyapunov function, the sufficient condition of global asymptotic stability of the positive equilibrium point for this model is given. |
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| Keywords: | cross-diffusion global solutions uniform boundedness stability weak cooperative |
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