作者：
Elaydi, Saber;Lozi, Rene
通讯作者：
Elaydi, S
作者机构：
Trinity Univ, Dept Math, San Antonio, TX 78212 USA.
Univ Cote Azur, Dept Math, Lab JA Dieudonne, CNRS, Nice, France.
通讯机构：
Trinity Univ, Dept Math, San Antonio, TX 78212 USA.
语种：
英文
关键词：
39A30,92-10,SEI models,SEIT models,TB elimination,Tuberculosis,disease control,disease-free,endemic,endogenous,epidemiology,exogenous,global stability,local stability,public health,treatment
期刊：
Journal of Biological Dynamics
ISSN：
1751-3758
年：
2024
卷：
18
期：
1
页码：
2323724
摘要：
In this paper, we develop discrete models of Tuberculosis (TB). This includes SEI endogenous and exogenous models without treatment. These models are then extended to a SEIT model with treatment. We develop two types of net reproduction numbers, one is the traditional R-0 which is based on the disease-free equilibrium, and a new net reproduction number R-0(epsilon(& lowast;)) based on the endemic equilibrium. It is shown that the disease-free equilibrium is globally asymptotically stable if R-0 1. Moreover, the endemic equilibrium is locally asymptotically stable if R-0(epsilon(& lowast;)) < ...
