Age-structured SIS Communicable Disease Model with Continuous Vaccination

LIU Hanwu,XU Jie,LIU Qiming(1Science College, Hebei University of Science & Technology, Shijiazhuang 050018;2Faculty of Science, Xi'an Jiaotong University, Xi'an 710049;3Ordnance Engineering College, Shijiazhuang 050003)  

The influence of the vaccination to the spreading of disease is studied. Age-Structured SIS communicable disease model with proportional vaccination is formulated. The dynamical behaviors of the model is discussed. The uniqueness and existence of the positive equilibrium is proved. Then the stability conditions of equilibria are obtained. The effect of vaccination on the spreading of disease is analyzed.

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