Title :
Global dynamics behaviors for an SIR epidemic disease model with distributed time delays and pulse vaccination
Author :
Tongqian Zhang ; Meng, Xinzhu ; Song, Yi
Author_Institution :
Coll. of Inf. Sci. & Eng., Shandong Univ. of Sci. & Technol., Qingdao, China
Abstract :
In this paper, by using impulsive delay differential equation, we investigate the dynamics of an SIR epidemic disease model with distributed times delay and pulse vaccination. We show that the conditions for global attractivity of “infection-free” periodic solution and permanence of the “infection” depend on time delay and pulse vaccination.
Keywords :
differential equations; diseases; epidemics; SIR epidemic disease model; distributed time delays; global dynamics behaviors; impulsive delay differential equation; infection-free periodic solution; pulse vaccination; distributed time delays; global attractivity; permanence; pulse vaccination;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5620385
