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时标上的具有线性收获项的Nicholson's Blowflies模型概周期正解的存在性及全局渐近稳定性(英文) 被引量：1

Existence and Global Asymptotic Stability of Almost Periodic Positive Solution for Nicholson's Blowflies Model with Linear Harvesting Term on Time Scales
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摘要 本文研究时标上的具有线性收获项的Nicholson's blowflies模型,运用压缩映射不动点定理获得存在唯一概周期正解的充分条件.此外,通过利用Liapunov函数研究概周期正解的全局渐近稳定性. This paper deals with a Nicholson＇s blowflies model with linear harvesting term on time scales. By using contraction mapping fixed point theorem,we obtain sufficient conditions for the ex- istence of unique almost periodic positive solution. Moreover, we investigate global asymptotic sta- bility of the almost periodic positive solution by Liapunov function.
作者 姚志健
机构地区 安徽建筑大学数理学院
出处 《应用数学》 CSCD 北大核心 2015年第1期224-232,共9页 Mathematica Applicata
基金 Supported by the Natural Science Foundation of Education Department of Anhui Province(KJ2014A043)
关键词 时标上的Nicholson's blowflies模型 概周期解 全局渐近稳定性 线性收获项 Nicholson＇s blowflies model on time scale Almost periodic solution Global asymptotic stability Linear harvesting term
分类号 O175.7 [理学—基础数学]
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参考文献14

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同被引文献9

  • 1Alzabut O, Stamov G T, Sermutlu E. Positive almost periodic solutions for a delay logarithmic population mode[J]. Math. Comput. Model. , 2011 ( 1 - 2) : 161 - 167.
  • 2He Mengxin, Chen Fengde, Li Zhong. Almost periodic solution of an impulse differntial equation model of plankton allelopathy [J]. Nonlinear Anal., 2010 ( 4 ) : 2296 - 2301.
  • 3Gopalsamy K, Trofimchuk S. Almost periodic solutions of lasota - Wazewska - type delay differential equation [J]. J. Math. Anal. Appl., 1999( 1 ) : 106 - 127.
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  • 5Huang Zuda, Gong Shuhua, Wang Lijuan. Positive al- most periodic solution for a class of Lasota - Wazewska model with multiple time - varying delays [J]. Com- put. Math. Appl., 2011(4) : 755 -760.
  • 6Liu Guirong, Zhao Aimin, Yan Jurang. Existence and global atractivity of unique positive periodic solution for a Lasota - Wazewska model [J]. Nonlinear Anal. , 2006(8) : 1737 - 1746.
  • 7Zhou Zheng, Zhang Zhengqiu. Existence and global at- tractivity positive periodic solutions for a discrete model [J]. Electronic Journal of Differential Equations, 2006 (95) : 1 -8.
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2015年 第1期

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