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具增生的细菌群体中一类迁移算子的谱分析 被引量：1

The Spectral Analysis of a Transport Operator for Growing Bacterial Populations
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摘要 在Lp(1≤p<+∞)空间上,研究了一类具增生的细菌群体中具一般边界条件的迁移方程,讨论了这类模型相应的迁移算子的谱分析,得到了该迁移算子的谱在右半平面上仅有有限个具有限代数重数的离散本征值等结果。 The objective of this paper is to research a transport equation of the growingbacterial populations with generalized boundary condition in Lp（ 1≤p ＋ ∞） space,It is discussed the spectral analysis of corresponding transport operators for this moder,and it is to obtain that the spectrum of the transport operatorsconsists of finite isolate eigenvalues with finite algebraic mutiplicities in right half plane.
作者 贾善德 程国飞 王胜华
机构地区 上饶师范学院数学与计算机科学院
出处 《上饶师范学院学报》 2015年第3期1-5,共5页 Journal of Shangrao Normal University
基金 国家自然科学基金资助项目(11461055) 江西省自然科学基金资助课题(20151BAB201029)
关键词 细菌群体 一般边界条件 迁移方程 谱分析 bacterial population transport equation generalized boundary conditions spectral analysis
分类号 O177.2 [理学—基础数学]
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参考文献16

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二级参考文献19

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共引文献33

同被引文献6

  • 1Lebowitz J, Rubiow S I. A theory for the age generation time distribution of a microbial population [J]. Math Biol, 1974, 1: 17-36.
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  • 5Arams R A. Sobolev space [M]. Pittsburgh: Academic Press, 2003.
  • 6王胜华,翁云芳,阳名珠.人体细胞增生中一类迁移算子的谱分析[J].数学物理学报（A辑）,2010,30(4):1055-1061. 被引量：34

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上饶师范学院学报
2015年 第3期

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