一类具生物控制的多滞量捕食模型正周期解的存在性 |
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引用本文: | 程荣福.一类具生物控制的多滞量捕食模型正周期解的存在性[J].吉林林学院学报,2010(1):1-6. |
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作者姓名: | 程荣福 |
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作者单位: | 北华大学数学学院,吉林吉林132033 |
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基金项目: | 基金项目:吉林省教育厅“十一五”科学技术研究项目(吉教合字2008-136). |
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摘 要: | 利用重合度理论中的延拓定理讨论了具有生物控制的多滞量捕食模型的正周期解的存在性,得到了保证周期解存在的充分条件,推广了已知的相关结果.
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关 键 词: | 捕食者-食饵模型 生物控制 周期解 多滞量 |
Existence of Positive Periodic Solution for a Predator-Prey Model with Bio-controls and Several Delays |
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Authors: | CHENG Rong-fu |
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Institution: | CHENG Rong-fu ( Mathematics College of Beihua University ,Jilin 132033, China) |
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Abstract: | By using a continuation theorem based on coincidence degree, the global existence of positive periodic solution for a periodic predator-prey model with bio-controls and several delays are studied. A set of easily verifiable sufficient conditions are obtained ,which had improved and generalized some known results. |
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Keywords: | predator-prey model bio-controls periodic solution several delays |
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