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具结构化的细菌种群中迁移算子的谱研究 被引量:3

Spectral Research of the Transport Operator in Structured Bacterial Population
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摘要 在L^p(1≤p<∞)空间上,研究了在一般边界条件下具结构化的细菌种群模型,讨论了这类模型相应的迁移算子的谱分析和本征值的存在性,得到了该迁移算子的谱仅由有限个具有限代数重数的离散本征值组成等结果。 The objective of this paper is to research the model of structured bacterial population with generalized boundary conditions in L Lp(1≤p〈∞) space, It is discussed the spectral analysis and the eigenvalue's existece of corresponding transport operator for this moder.So it is obtained that the spectrum of the transport operator only consisting of finitely isolate eigenvalues woth finite algebraic multiplicities.
作者 王胜华
出处 《上饶师范学院学报》 2017年第3期1-6,共6页 Journal of Shangrao Normal University
基金 国家自然科学基金(11461055) 江西省教育厅科技项目(151051 151056)
关键词 结构化的细菌种群 一般边界条件 迁移算子 谱分析 离散本征值 structured bacterial population generalized boundary conditions transport operator spectral analysis isolate eigenvalues
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  • 1Jeribi A, Megdiche H Moalla N. On a transport arising in growing cell populations II Cauchy problem. Math Methods in the Applied Sciences, 2005, 28:127-145.
  • 2Latrach K, Mokhtar-Kharroubi M. On an unbounded linear operator arising in the theory of growing cell population. J Math Anal Appl, 1997, 211:273-294.
  • 3Boulanouar M. A mathematical study for a Rotenberg model. Math Anal Appl, 2002, 265:371-394.
  • 4Jeribi A. Time asymptotic behaviour for unbounded linear operator arising in growing cell populations. Nonlinear Analysis: Real World Appl, 2003, 4:667-688.
  • 5Lods B, Mokhtar-Kharroubi M. On the theory of a growing cell population with zero minimum cycle length. J Math Anal Appl, 2002, 266:70-99.
  • 6Mokhtar-Kharroubi M. Time asymptotic behaviour and compactness in nertron transport theory. Europ J Mech B Fluid, 1992, 11:39-68.
  • 7Lebowitz J L,Rubinow S I. A theory for the age and generation time distribution of a microbial population. J Math Biol, 1974, 1:17-36.
  • 8Boulanouar M. A mathematical analysis of a model of structured population (11). Journal of Dynamical and Control Systems, 2012, 18(4): 499-527.
  • 9Boulanouar M. A model of proliferating cell populations with infinite cell cycle length Acta Appl Math, 2010, 109:949 971.
  • 10Boulanouar M. A model of proliferating cell populations with infinite cell cycle length: Acta Appl Math, 2010, 110:1105-1126.

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