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| 具有时滞的两种群捕食者--食饵扩散系统的正周期解的存在性 | |
| 引用本文： | 陈精兵. 具有时滞的两种群捕食者--食饵扩散系统的正周期解的存在性[J]. 安庆师范学院学报(自然科学版), 2006, 12(2): 15-20 |
| 作者姓名： | 陈精兵 |
| 作者单位： | 南京大学,数学系,江苏,南京,210008;池州师范专科学校,数学系,安徽,池州,247000 |
| 摘 要： | 本文研究了一类具有时滞的Lotka-Volterra类型的两种群捕食者——食饵扩散系统,利用Mawhin的重合度理论建立了这类系统的正周期解存在的一个充分条件。 |
| 关 键 词： | 捕食者--食饵扩散系统 正周期解 重合度理论 |
| 文章编号： | 1007-4260（2006）02-0015-06 |
| 收稿时间： | 2006-01-18 |
| 修稿时间： | 2006-01-18 |
Existence of Positive Periodic Solution for a Delayed Predator-prey Model of Prey Dispersal in Two-patch Environments |
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| CHEN Jing-bing. Existence of Positive Periodic Solution for a Delayed Predator-prey Model of Prey Dispersal in Two-patch Environments[J]. Journal of Anqing Teachers College(Natural Science Edition), 2006, 12(2): 15-20 | |
| Authors: | CHEN Jing-bing |
| Affiliation: | 1 Department of Mathematics,Nanjing University,Nanjing 210008,; 2 Department of Mathematics,Chizhou Junior college of Normal school, Chizhou 247000,P.R..China |
| Abstract: | A delayed periodic Lotka-Volterra type predator-prey model with prey dispersal in two-patch environments is investigated.A sufficient condition of the existence of positive periodic solution is established for the system by using Gaines and Mawhin's continuation theorem of coincidence degree theory. |
| Keywords: | predator-prey diffusive system positive periodic solution coincidence degree theory |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |