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 numb...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.展开更多
基金supported by the National Infect ious Disease Science and Technology Major Project Grant 2017ZX10201302-007by the National Natural Science Foun-dation of China(Grant Nos.11926328,11926329,11971281 and 11501443)+2 种基金by the Natural Science Basic Research Plan in Shaanxi Province of China Grant 2020JQ-693by the Natural Science Foundation of Shaanxi Provincial Department of Education Grant 18JK0092supported by the NUPTSF(Grant No.NY220093).
文摘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.
