Title :
A Discrete Tuberculosis Model with Two Different Infectious Compartments
Author :
Cao, Hui ; Zhou, Yicang
Author_Institution :
Dept. of Math., Xi´´an Jiaotong Univ., Xi´´an, China
Abstract :
A discrete tuberculosis model with different infectious compartments is formulated and studied. The basic reproduction number, Rο of the model is defined. The global stability of the disease-free equilibrium is proved if R0 <; 1 . The existence of endemic equilibrium and the persistence of TB is established if R0 > 1 . The main attention is paid on the influence of the infectivity proportion on the case number. The numerical simulations show that the infection cases increase as p increase.
Keywords :
diseases; medical computing; numerical analysis; physiological models; discrete tuberculosis model; disease-free equilibrium global stability; endemic equilibrium; infectious compartments; infectivity proportion; numerical simulations; Asia; Bacterial infections; Data analysis; Diseases; Mathematical model; Mathematics; Numerical simulation; Public healthcare; Sampling methods; Stability;
Conference_Titel :
Bioinformatics and Biomedical Engineering (iCBBE), 2010 4th International Conference on
Conference_Location :
Chengdu
Print_ISBN :
978-1-4244-4712-1
Electronic_ISBN :
2151-7614
DOI :
10.1109/ICBBE.2010.5515707
