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, 27(4): 473-477. DOI: 10.3969/j.issn.1003-0972.2014.04.002
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, 27(4): 473-477. DOI: 10.3969/j.issn.1003-0972.2014.04.002
Shi Xiangyun , Yang Jingen , Li Zeyu . Analysis on the Giant Panda-Bashania Fangiana-Fargesia Robusta Mathematic Model wit Impulsive Effect [J]. Journal of Xinyang Normal University (Natural Science Edition), 2014, 27(4): 473-477. DOI: 10.3969/j.issn.1003-0972.2014.04.002
Citation: Shi Xiangyun , Yang Jingen , Li Zeyu . Analysis on the Giant Panda-Bashania Fangiana-Fargesia Robusta Mathematic Model wit Impulsive Effect [J]. Journal of Xinyang Normal University (Natural Science Edition), 2014, 27(4): 473-477. DOI: 10.3969/j.issn.1003-0972.2014.04.002

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

Analysis on the Giant Panda-Bashania Fangiana-Fargesia Robusta Mathematic Model wit Impulsive Effect 

  • 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.

     

    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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