Title :
Pulse vaccination of a SIR epidemic model with distributed time delay
Author :
Fan, Hongjun ; Xu, Youjie ; Liu, Bin ; Chang, Zhengbo
Author_Institution :
Dept. of Logistics & Shipping Manage., Qingdao Ocean Shipping Mariners Coll., Qingdao, China
Abstract :
In this paper, a SIR epidemic model with distributed time delay was proposed. By using the theory of impulsive delay differential equation, we investigate the dynamics under pulse vaccination. We get the conditions for global attractivity of “infection-free” periodic solution and permanence of the “infection” depend on time delay and pulse vaccination.
Keywords :
delays; differential equations; diseases; SIR epidemic model; distributed time delay; impulsive delay differential equation; infection-free periodic solution; pulse vaccination dynamics; Biological system modeling; Computational modeling; Delay effects; Diseases; Educational institutions; Equations; Mathematical model; distributed time delay; global attractivity; pulse 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.2012.6202204
