Title :
Stability of solutions of SIR model under constant vaccination
Author :
Zhou, Lingli ; Zhang, Chunming ; Hu, Lei
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 constant vaccination. It is proved that with the constant vaccination percentage p, if p >; p0 (a constant), the “infection-free” equilibrium is stable. Otherwise, it is unstable and the endemic equilibrium is stable.
Keywords :
diseases; epidemics; stability; SIR model; constant vaccination; endemic equilibrium; epidemics; equilibriums; infection-free equilibrium; stability; Analytical models; Biological system modeling; Diseases; Equations; Guidelines; Mathematical model; Stability analysis; Constant vaccination; Equilibrium; Periodic solution; Stability;
Conference_Titel :
Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC), 2011 2nd International Conference on
Conference_Location :
Deng Leng
Print_ISBN :
978-1-4577-0535-9
DOI :
10.1109/AIMSEC.2011.6011474
