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.


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    Title :

    Adaptive control of SEIR discrete-time epidemic models



    Conference:

    10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway


    Published in:

    AIP Conference Proceedings ; 1637 , 1 ; 37-46


    Publication date :

    2014-12-10


    Size :

    10 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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