Global dynamics for a TB transmission model with age-structure and delay  

作　　者：Dongxue Yan Hui Cao Suxia Zhang 

机构地区：[1]School of Science Nanjing University of Posts and Telecommunications Nanjing 210023,P.R.China [2]Department of Mathematics Shaanxi University of Science and Technology Xi’an 710021,P.R.China [3]School of Science,Xi’an University of Technology Xi’an 710054,P-R-China

出　　处：《International Journal of Biomathematics》2020年第7期1-28,共28页生物数学学报（英文版）

基　　金：supported by the National Infect ious Disease Science and Technology Major Project Grant 2017ZX10201302-007;by the National Natural Science Foun-dation of China(Grant Nos.11926328,11926329,11971281 and 11501443);by the Natural Science Basic Research Plan in Shaanxi Province of China Grant 2020JQ-693;by the Natural Science Foundation of Shaanxi Provincial Department of Education Grant 18JK0092;supported by the NUPTSF(Grant No.NY220093).

摘　　要：This paper deals with the global dynamics of a tuberculosis(TB)model with agestructure and delay.We perform some rigorous analyses for the model,including presenting an explicit formula for the basic reproduction number of the model,addressing the persistence of the solution semi-flow and the existence of the global attractor.Based on these analyses,we establish some results on stability and instability of equilibrium of the system.Finally,some numerical examples are provided to illustrate our obtained results.

关 键 词：Age-structured TB model Go-semigroup the delay uniform persistence STABILITY 

分 类 号：O17[理学—数学]