This paper applies the Micken's discretization method to obtain a discrete-time SEIR epidemic model. The positivity of the model along with the existence and stability of equilibrium points are discussed for the discrete-time case. Afterwards, an adaptive controller is designed for this system ensuring the non-negativity of the estimated parameters and the convergence of the exposed and infectious to zero eradicating the illness from the population.
Adaptive control of SEIR discrete-time epidemic models
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway
AIP Conference Proceedings ; 1637 , 1 ; 37-46
2014-12-10
10 pages
Conference paper
Electronic Resource
English
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