| 一类具功能反应的食饵——捕食者系统定性分析 |
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| 引用本文： | 吴承强. 一类具功能反应的食饵——捕食者系统定性分析[J]. 系统科学与数学, 2005, 25(6): 688-692 |
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| 作者姓名： | 吴承强 |
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| 作者单位： | 福州大学数学与计算机科学学院,福州,350002 |
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| 基金项目： | 福建省教育厅科研基金(JA04158)资助课题． |
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| 摘 要： | 研究一类具功能反应的食饵-捕食者系统:x=xg(x)-y(?)(x),y=y(-d+e(?)(x)．在g(x)=α-bxm,(?)(x)=cxθ及m+θ=1,m=1/n,n>2为正整数情形下,分析了该系统的平衡点性态,并得到了系统在正平衡点外围的极限环的不存在性、存在性与唯一性的相关条件．
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| 关 键 词： | 食饵-捕食者系统 平衡点 极限环 |
| 修稿时间： | 2003-10-31 |
QUALITATIVE ANALYSIS FOR A KIND OF PREDATOR-PREY SYSTEMS WITH FUNCTIONAL RESPONSE |
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| Wu Chengqiang. QUALITATIVE ANALYSIS FOR A KIND OF PREDATOR-PREY SYSTEMS WITH FUNCTIONAL RESPONSE[J]. Journal of Systems Science and Mathematical Sciences, 2005, 25(6): 688-692 |
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| Authors: | Wu Chengqiang |
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| Affiliation: | College of Math. and Computer Science, Fuzhou University, Fuzhou Fujian 350002 |
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| Abstract: | A kind of Predator-Prey systems with functional response is investigated: $dot x=xg(x)-yvh(x)$, $dot y=y(-d+evh(x))$. For this system with $g(x)=a-bx^m$, $vh(x)=cx^{th}$ and $m+th=1$, $m=f{1}{n}$, $nin N$, $n>2$, the conditions for nonexistence, existence, and uniqueness of the limit cycles around a positive critical point are obtained. |
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| Keywords: | Predator-Prey system critical point limit cycle. |
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