Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (1): 156-167.

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The Asymptotic Behavior of the Solution in Structured Bacterial Population Model

Wang Shenghua, Cheng Guofei   

  1. Shangrao Normal University, Jiangxi Shangrao 334001
  • Received:2017-01-13 Revised:2017-07-31 Online:2018-02-26 Published:2018-02-26
  • Supported by:
    Supported by the NSFC (11461055)

Abstract: The objective of this paper is to research the model of structured bacterial populations with generalized boundary condition in L1 space, It is discussed that the irreducibility of the generated C0 positive semigroup and the spectral analysis of the transport operator for this model, It is to obtain that the asymptotic behavior of the transport equation's solution in the uniform topology, which allows us to describe the asynchronous growth property of the studied bacterial population and so on.

Key words: Structured bacterial population, Generalized boundary condition, Transport equation, Spectral analysis, Asymptotic behavior

CLC Number: 

  • O177.2
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