Title :
The SIS Epidemic Model with Impulsive Effects
Author :
Jin, Zhen ; Haque, Mainul
Author_Institution :
North Univ. of China, Taiyuan
fDate :
July 30 2007-Aug. 1 2007
Abstract :
In this paper, a pulse vaccination and pulse destroying (or isolation) SIS model is proposed for integrated logistic type population dynamics and periodic infection rate beta(t). The dynamical behavior of the model is analyzed. The basic reproductive number R0 is defined. It is proved that the infection-free periodic solution is globally stable if R0<1. The infection-free periodic solution is unstable when R0>1.
Keywords :
biology; modelling; SIS epidemic model; dynamical model behavior analysis; infection rate; infection-free periodic solution; population dynamics; pulse destroying SIS model; pulse vaccination SIS model; Animals; Artificial intelligence; Diseases; Distributed computing; Educational institutions; Equations; Logistics; Mathematical model; Mathematics; Software engineering;
Conference_Titel :
Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing, 2007. SNPD 2007. Eighth ACIS International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-0-7695-2909-7
DOI :
10.1109/SNPD.2007.254
