| 引用本文： |
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陈春涛,罗桂烈.一类具有时滞和基于比率的N种群捕食-被捕食扩散系统的正周期解的存在性[J].广西科学院学报,2005,(1):1-6. [点击复制]
- Chen Chuntao,Luo Guilie.The Existence of Positive Periodic Solution of A N-Species Predator-Prey Dispersion System with Delay and Ratio-Dependence[J].Journal of Guangxi Academy of Sciences,2005,(1):1-6. [点击复制]
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| 摘要: |
| 运用重合度理论的连续性引理,得到一类具有时滞和基于比率的N种群食物链捕食-被捕食扩散系统正周期解存在性的充分条件. |
| 关键词: 扩散系统 捕食-被捕食 正周期解 时滞 基于比率 重合度 |
| DOI： |
| 投稿时间：2004-07-19修订日期：2004-09-13 |
| 基金项目:国家数学天元基金(A0324644)和广西自然科学基金(桂科青0339021)资助项目。 |
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| The Existence of Positive Periodic Solution of A N-Species Predator-Prey Dispersion System with Delay and Ratio-Dependence |
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Chen Chuntao, Luo Guilie
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| (Dept. of Math. & Comp. Sci., Guangxi Normal Univ., Guilin, Guangxi, 541004, China) |
| Abstract: |
| The continuation theorem of coincidence degree theory is used to obtain sufficient conditions that guarantee the existence of a positive periodic solution for a N-species ratio-dependent predator-prey diffusion model with time delay. |
| Key words: dispersion system predator-prey positive periodic solutions time delay ratio-dependent coincidence degree |
