具结构化的细菌种群模型的生成半群问题  

The problem of generating semigroups with structured bacterial population models

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

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

出　　处：《南昌大学学报（理科版）》2018年第3期205-211,共7页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11461055)

摘　　要：在L^1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生成正C_0半群,并且证明了该正C_0半群是不可约的。The bacterial population model with structured boundary conditions is studied in L1 space,The corresponding transport operators are discussed to generate positive C0 semigroups,and it is proved that the positive C0 semigroups are irreducible and so on.

关 键 词：具结构化的细菌种群 一般边界条件 迁移算子 正C0半群 不可约半群 

分 类 号：O177.2[理学—数学]