| 一类强耦合互惠模型的共存解 |
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| 引用本文： | 耿春梅,刘加红.一类强耦合互惠模型的共存解[J].徐州师范大学学报(自然科学版),2007,25(2):24-27. |
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| 作者姓名： | 耿春梅 刘加红 |
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| 作者单位： | 1. 扬州教育学院,数学系,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;江苏省自然科学基金 |
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| 摘 要： | 采用上下解及相应的单调迭代序列的方法,结合Schauder不动点定理,研究带Dirichlet边界条件的两种群的互惠模型强耦合问题共存解.结果说明,当交错扩散和种间作用相对弱时,强耦合问题就至少存在一个解.
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| 关 键 词： | 反应扩散系统 互惠模型 强耦合 共存解 |
| 文章编号： | 1007-6573（2007）02-0024-04 |
| 修稿时间： | 2006-12-17 |
Coexistence of a Strongly Coupled System Describing a Mutualistic Model |
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| GENG Chun-mei,LIU Jia-hong.Coexistence of a Strongly Coupled System Describing a Mutualistic Model[J].Journal of Xuzhou Normal University(Natural Science Edition),2007,25(2):24-27. |
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| Authors: | GENG Chun-mei LIU Jia-hong |
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| Institution: | 1. Department of Mathematics, Yangzhou College of Education, Yangzhou, Jiangsu, 225002, China; 2. School of Mathematical Science, Yangzhou University, Yangzhou, Jiangsu, 225002, China |
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| Abstract: | This paper deals with a two-species mutualistic model.With the method of upper and lower solutions,its associated monotone iterations and the fixed point theorem,the coexistence solutions to a strongly coupled elliptic system are studied.Our results show that this model possesses at least one coexistence state if cross-diffusions and cross-reactions are weak. |
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| Keywords: | reaction-diffusion system mutualistic model strongly coupled coexistence |
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