Ebola disease is one of an infectious disease caused by a virus. Ebola disease can be transmitted through direct contact with Ebola’s patient, infected medical equipment, and contact with the deceased individual. The purpose of this paper is to analyze the stability of equilibriums and to apply the optimal control of treatment on the mathematical model of the spread of Ebola with medical treatment. Model without control has two equilibria, namely non-endemic equilibrium (E0) and endemic equilibrium (E1) The existence of endemic equilibrium and local stability depends on the basic reproduction number (R0). The non-endemic equilibrium is locally asymptotically stable if R0 < 1 and endemic equilibrium tend to asymptotically stable if R0 >1 . The problem of optimal control is then solved by Pontryagin’s Maximum Principle. From the numerical simulation result, it is found that the control is effective to minimize the number of the infected human population and the number of the infected human with medical treatment population compare without control.


    Zugriff

    Download


    Exportieren, teilen und zitieren



    Titel :

    Analisis Kestabilan dan Kontrol Optimal Model Matematika Penyebaran Penyakit Ebola dengan Penanganan Medis


    Beteiligte:

    Erscheinungsdatum :

    09.08.2019


    Anmerkungen:

    doi:10.20473/conmatha.v1i1.14772
    Contemporary Mathematics and Applications (ConMathA); Vol 1, No 1 (2019); 19-33 ; 2686-5564



    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Klassifikation :

    DDC:    629





    DESAIN KONTROL PENGOBATAN PADA MODEL SIRD UNTUK PENYEBARAN VIRUS COVID-19 MENGGUNAKAN BACKSTEPPING

    Mu'tamar, Khozin / Naiborhu, Janson / Saragih, Roberd | BASE | 2021

    Freier Zugriff


    Kompresi Citra Medis dengan DWT dan Variable Length Code

    Garnita Darma Putri, I Gusti Ayu / Sastra, Nyoman Putra / Widyantara, I Made Oka et al. | BASE | 2021

    Freier Zugriff