中文摘要：

本文在Lp（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，证明了这类模型相应的迁移算子生成半群的Dyson—phillips展式的9阶余项R9（t）在L1空间上是弱紧的和在Lp（1〈P〈＋∞）空间上是紧的，从而获得了该迁移算子的谱在某右半平面上仅由有限个具有限代数重数的离散本征值组成等结果．

英文摘要：

The objective of this paper is to research the model of structured bacterial population with generalized boundary conditions in Lp（1≤P〈＋∞） space, It is to prove that the ninth-order remainder term R9（t） of the Dyson-Phillips expansion of corresponding transport operator generates semigroup for this model is weakly compact on L1 and is compact on Lp Lp（1≤P〈＋∞）, It is to obtain that the spectrum of the transport operators only consisting of finitely isolate eigenvalues with finite algebraic multiplicities in the right half plane and so on.