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.
Mathematical modeling of infectious disease and designing vaccination law for control of this diseases
2014-11-15
doi:10.24297/jam.v9i5.2349
JOURNAL OF ADVANCES IN MATHEMATICS; Vol. 9 No. 5 (2014); 2623-2629 ; 2347-1921
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
sliding mode control , SEIR disease model , vaccination strategy , infectious disease , Control signal. , 68T05 , 68T40 , 68T45 , 68N20 , 68N30 , 68N99 , 68U07 , 968U20 , 68U35 , 68P10
DDC: | 629 |
BASE | 2014
|NTRS | 1990
|MATHEMATICAL MODELING OF HYDRAULIC CALCULATIONS IN DESIGNING FHC SYSTEMS
DOAJ | 2016
|Designing for Mathematical Abstraction
British Library Online Contents | 2010
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