| 一类带反应项的多种群趋化性模型解的性态(英文) |
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| 引用本文： | 陈学勇,张进才. 一类带反应项的多种群趋化性模型解的性态(英文)[J]. 数学杂志, 2011, 31(5): 853-860 |
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| 作者姓名： | 陈学勇 张进才 |
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| 作者单位： | 武汉大学数学与统计学院,湖北武汉,430072 |
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| 基金项目： | Supported by National Natural Science Foundation of China(10871151) |
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| 摘 要： | 本文研究了一类带反应的多种群趋化性Othmer-Stevens模型的问题,利用抛物方程上下解和迭代的方法,获得了该模型在不同条件下的解的爆破,熄灭等渐进性态,推广了单种群模型的结果。
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| 关 键 词： | 趋化性 全局存在 爆破 扑灭 比较原理 |
THE BEHAVIOR OF THE SOLUTIONS TO A MULTI-GROUP CHEMOTAXIS MODEL WITH REPRODUCTION TERM |
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| CHEN Xue-yong,ZHANG Jin-cai. THE BEHAVIOR OF THE SOLUTIONS TO A MULTI-GROUP CHEMOTAXIS MODEL WITH REPRODUCTION TERM[J]. Journal of Mathematics, 2011, 31(5): 853-860 |
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| Authors: | CHEN Xue-yong ZHANG Jin-cai |
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| Affiliation: | CHEN Xue-yong,ZHANG Jin-cai (School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China) |
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| Abstract: | In this paper,we study the solution exists globally for a simplified Othmer-Stevens model with reproduction term and two interacting species.By using super-lower-solution method,we discuss global,blow-up or quenching solutions of the problem under different conditions. |
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| Keywords: | chemotaxis global existence blow-up quenching asymptotic behavior of solution comparison |
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