Title :
Stability of Solutions of SIR Model under Pulse Vaccination
Author :
Zhou, Lingli ; Yin, Jinsheng ; Meng, Yanshuang
Author_Institution :
Dept. of Math. & Phys., Shandong Jiaotong Univ., Jinan, China
Abstract :
Vaccination is effective to the control of the epidemics. In this paper we discuss the stability of the equilibriums of SIR model under pulse vaccination. It is proved that under pulse vaccination, if R <; 1, the periodic "infection-free" solutions exists and is stable.
Keywords :
diseases; stability; SIR model equilibrium stability; epidemics control; periodic infection-free solutions; pulse vaccination; Analytical models; Biological system modeling; Diseases; Equations; Mathematical model; Stability criteria; Equilibrium; Periodic solution; Pulse vaccination; Stability;
Conference_Titel :
Computational Intelligence and Design (ISCID), 2011 Fourth International Symposium on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4577-1085-8
DOI :
10.1109/ISCID.2011.155
