Stability of periodic solutions for an SIS model with pulse vaccination

Authors:
Yicang Zhou;Hanwu Liu
Affiliations:
Science College Xi'an Jiaotong University Xi'an, 710049, P.R. China;Science College Hebei University of Science and Technology Shijiazhuang, 050018, P.R. China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2003

Citing 3
Cited 3

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Abstract

Pulse vaccination is an important strategy for the elimination of infectious diseases. A mathematical SIS model with pulse vaccination is formulated in this paper. The dynamical behavior of the model is studied, and the basic reproductive number R"0 is defined. It is proved that the disease-free periodic solution is stable if R"0 1. The global stability of the disease-free periodic solution is studied and sufficient condition is obtained. The existence and stability of the endemic periodic solution are investigated analytically and numerically.