细菌种群中一类迁移方程的谱研究  

Spectral Study on a Class of Transport Equations in Bacterial Population

作　　者：王胜华[1] 凌军 WANG Shenghua;LING Jun(Shangrao Normal University,Shangrao Jiangxi 334001,China;Department of Mathematics,Nanchang University,Nanchang Jiangxi 330031,China)

机构地区：[1]上饶师范学院,江西上饶334001 [2]南昌大学数学系,江西南昌330031

出　　处：《上饶师范学院学报》2019年第3期1-5,10,共6页Journal of Shangrao Normal University

基　　金：国家自然科学基金资助项目(11461055);江西省教育厅科技项目(GJJ170927)

摘　　要：在L^1空间上研究了一类在一般边界条件下具结构化的细菌种群模型,在较筒单的条件下讨论了这类模型相应的迁移方程的谱问题,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 a class of structured bacterial population models general boundary conditions in L^1 space,and discuss the spectral problems of the corresponding transport equations of this kind of model under the condition of a more simple one. It is obtained that the spectrum of the transport operators consists of only finite discrete 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 谱分析 离散本征值 

分 类 号：O177.2[理学—数学]