Title :
The Asymptotic Analysis of an Epidemic Model with Quarantine and Infection-age-Dependence
Author :
Zhang Su-xia ; Qin Xin-qiang
Author_Institution :
Sch. of Sci., Xi´an Univ. of Technol., Xi´an, China
Abstract :
Dynamical behavior of a high-dimension nonlinear SEIQR model with infection-age-dependence is studied. The existence and uniqueness of positive solution of differential-integral equations is proved. By analyzing the asymptotical behaviors of the model, the threshold is found and stabilities of disease-free and endemic equilibria are obtained.
Keywords :
diseases; epidemics; integro-differential equations; physiological models; asymptotic analysis; asymptotical behaviors; differential-integral equations; disease-free stabilities; dynamical behavior; endemic equilibria; epidemic model; high-dimension nonlinear SEIQR model; infection-age-dependence; Asymptotic stability; Differential equations; Diseases; Mathematical model; Nonlinear equations; Stability analysis;
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.2010.5517686
