TY - GEN
T1 - The SIS epidemic model with impulsive effects
AU - Jin, Zhen
AU - Haque, Mainul
PY - 2007
Y1 - 2007
N2 - 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 β(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.
AB - 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 β(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.
UR - http://www.scopus.com/inward/record.url?scp=35148884765&partnerID=8YFLogxK
U2 - 10.1109/SNPD.2007.543
DO - 10.1109/SNPD.2007.543
M3 - Conference contribution
AN - SCOPUS:35148884765
SN - 0769529097
SN - 9780769529097
T3 - Proceedings - SNPD 2007: Eighth ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
SP - 505
EP - 507
BT - Proceedings - SNPD 2007
T2 - SNPD 2007: 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking, and Parallel/Distributed Computing
Y2 - 30 July 2007 through 1 August 2007
ER -
