| 具有脉冲效应的大熊猫-冷箭竹-拐棍竹三种群系统数学模型研究 |
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| 引用本文： | 师向云,杨金根,李泽妤. 具有脉冲效应的大熊猫-冷箭竹-拐棍竹三种群系统数学模型研究[J]. 信阳师范学院学报(自然科学版), 2014, 0(4): 473-477 |
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| 作者姓名： | 师向云 杨金根 李泽妤 |
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| 作者单位： | 1. 信阳师范学院 数学与信息科学学院,河南 信阳,464000
2. 北京工商大学 嘉华学院,北京,101118 |
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| 基金项目： | 河南省基础与前沿技术研究计划项目(132300410025,132300410364);2013年度河南省高等学校青年骨干教师资助计划;信阳师范学院2013年度青年基金 |
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| 摘 要： | 讨论了卧龙自然保护区大熊猫栖息地主食竹开花对大熊猫的影响,建立了具有偏食行为的大熊猫-冷箭竹-拐棍竹三维捕食食饵脉冲微分系统,证明了系统大熊猫灭绝周期解的局部和全局渐近稳定性,并进一步给出了系统持续生存的条件.结论表明,在一定的条件下,卧龙自然保护区大熊猫单一主食竹开花并不会影响大熊猫的生存.
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| 关 键 词： | 大熊猫 主食竹 脉冲微分系统 持续性 |
Analysis on the Giant Panda-Bashania Fangiana-Fargesia Robusta Mathematic Model with Impulsive Effect |
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| Shi Xiangyun,Yang Jingen,Li Zeyu. Analysis on the Giant Panda-Bashania Fangiana-Fargesia Robusta Mathematic Model with Impulsive Effect[J]. Journal of Xinyang Teachers College(Natural Science Edition), 2014, 0(4): 473-477 |
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| Authors: | Shi Xiangyun Yang Jingen Li Zeyu |
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| Affiliation: | Shi Xiangyun;Yang Jingen;Li Zeyu;College of Mathematics and Information Science,Xinyang Normal University;Canvard College,Beijing Technology and Business University; |
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| Abstract: | The impact of bamboo flowing on giant pandas in Wolong Nature Reserve was discussed. An impulsive model on Giant panda-Bashania fangiana-Fargesia robusta with partial eclipse behavior was presented. The local and global stability of giant panda-free periodic solution were obtained. Furthermore,the sufficient conditions for which the system is persist were obtained. The results showed that under certain conditions,single staple food bamboo flowering in Wolong Nature Reserve will not affect the survival of giant pandas. |
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| Keywords: | the giant panda staple food bamboo impulsive differential system permanence |
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