Mathematical modeling of infectious disease and designing vaccination law for control of this diseases
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 9, Issue 5
Abstract
In this paper, we propose the concept of partial stability instead of that of global stability to deal with the stability issues of epidemic models. The partial stability is able to provide a more meaningful analysis of the problem since it only focuses on the behavior of some of the variables (infected and infectious) instead of the complete population. It has been shown that the vaccination free SEIR model can still be partially stable even when a globally stability property does not hold, for two types of nonlinear incidence rates. By introducing the concept of partial stability and by designing a control vaccination based on it. Guarantee the eradication of an epidemic disease without requiring the global stability of the epidemic model.
Authors and Affiliations
Javad Khaligh, Aghileh Heydari, Aliakbar Heydari, Siroos Nazari
Keywords
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- EP ID EP651375
- DOI 10.24297/jam.v9i5.2349
- Views 159
- Downloads 0
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