Title :
Analysis of an epidemic system with impulsive input and time delays
Author :
Zhao, Wencai ; Zhang, Tongqian ; Meng, Xinzhu ; Chang, Zhengbo
Author_Institution :
Coll. of Sci., Shandong Univ. of Sci. & Technol., Qingdao, China
Abstract :
In this paper, an SEIRS epidemic disease model with double delays of latent period and immune period is formulated, and the global dynamics behaviors of the model under pulse input and vaccination are analyzed. By use of the stroboscopic map, an `infection-free´ periodic solution is obtained, and the global attractivity of the `infection-free´ periodic solution is given.
Keywords :
delays; diseases; epidemics; SEIRS epidemic disease; global dynamics behavior; immune period; infection-free periodic solution; latent period; pulse vaccination; stroboscopic map; time delay; Analytical models; Biological system modeling; Computational modeling; Delay; Diseases; Mathematical model; delay; global attractivity; impulsive input; impulsive vaccination;
Conference_Titel :
Consumer Electronics, Communications and Networks (CECNet), 2012 2nd International Conference on
Conference_Location :
Yichang
Print_ISBN :
978-1-4577-1414-6
DOI :
10.1109/CECNet.2012.6202112
