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Infectious Disease Model with Continuous and Pulse Vaccination

Author: ZhangPeiJun
Tutor: LiWeiDe
School: Lanzhou University
Course: Applied Mathematics
Keywords: Impulsive Differential Epidemic Model Stability Basic reproduction number
CLC: O242.1
Type: Master's thesis
Year: 2010
Downloads: 55
Quote: 0
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Abstract


In recent years, impulsive differential aroused the concern of many scholars and get an in-depth development . It is widely used in pharmacokinetics, biotechnology, economics, physics , epidemiology, population dynamics and other fields. There are many natural phenomena epidemiology and the role of human intervention factor is more appropriate to describe with a pulse . This paper considers the role of the epidemic model pulse , the pulse is given under the action of disease-free periodic solution of the system stability. Comparison of continuous and pulsed vaccination vaccination effect. The second chapter in the literature [ 10-12 ] on the basis of the continuous role of vaccination and pulse vaccination were compared . In the third chapter , the use of stroboscopic map and Floquet; theorem shows that infection rates with pulse vaccination and saturation of SIRS Epidemic Model disease- existence of periodic solutions , and repeated use of the comparison principle and pulse differential inequality proves nothing disease global Stability of Periodic Solutions . Finally, the continuous and pulse vaccination vaccination were compared , draw the relevant conclusions.

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