具一般边界条件的细菌种群模型的谱问题  

Spectral Problem of Bacterial Population Model with Generalized Boundary Conditions

作　　者：王胜华[1] 吴红星[1] WANG Sheng-hua;WU Hong-xing(College of Mathematics and Computer Science,Shangrao Normal University,Shangrao 334001,China)

机构地区：[1]上饶师范学院数学与计算机科学学院

出　　处：《数学的实践与认识》2019年第21期257-261,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11461055);江西省教育厅科技项目(170927,151051);江西省教育科学“十三五”规划一般项目(18YB233)

摘　　要：在L1空间上研究了一般边界条件下一类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,得到了该迁移算子的谱在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.The objective of this paper is to research the model of structured bacterial population with generalized boundary conditions in Li space,It is to discuss that spectral analysis of corresponding transport operator for this model,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.

关 键 词：细菌种群模型 一般边界条件 迁移算子 余项的弱紧性 谱分析 

分 类 号：O17[理学—数学]