Analyzing the MERS disease control strategy through an optimal control problem

• Autorzy: Aldila D. , Padma H. , Khotimah K. , Desjwiandra B. , Tasman H.

Identyfikatory

DOI

10.2478/amcs-2018-0013

• Języki publikacji: EN

Abstrakty

EN

A deterministic mathematical model of the Middle East respiratory syndrome (MERS) disease is introduced. Medical masks, supportive care treatment and a government campaign about the importance of medical masks will be involved in the model as time dependent variables. The problem is formulated as an optimal control one to minimize the number of infected people and keep the intervention costs as low as possible. Assuming that all control variables are constant, we find a disease free equilibrium point and an endemic equilibrium point explicitly. The existence and local stability criteria of these equilibria depend on the basic reproduction number. A sensitivity analysis of the basic reproduction number with respect to control parameters tells us that the intervention on medical mask use and the campaign about the importance of medical masks are much more effective for reducing the basic reproduction number than supportive care intervention. Numerical experiments for optimal control problems are presented for three different scenarios, i.e., a scenario of different initial conditions for the human population, a scenario of different initial basic reproduction numbers and a scenario of different budget limitations. Under budget limitations, it is much better to implement the medical mask intervention in the field, rather than give supportive care to control the spread of the MERS disease in the endemic prevention scenario. On the other hand, the medical mask intervention should be implemented partially together with supportive care to obtain the lowest number of infected people, with the lowest cost in the endemic reduction scenario.

Słowa kluczowe

EN

Middle East Respiratory Syndrome; medical mask; supportive care; campaign; basic reproduction number; optimal control

PL

maska medyczna; leczenie podtrzymujące; podstawowy współczynnik reprodukcji; sterowanie optymalne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2018
• Tom: Vol. 28, no. 1
• Strony: 169--184
• Opis fizyczny: Bibliogr. 30 poz., rys., tab., wykr.

Twórcy

autor

Aldila D.

• Department of Mathematics, University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia

autor

Padma H.

• Department of Mathematics, University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia

autor

Khotimah K.

• Department of Mathematics, University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia

autor

Desjwiandra B.

• Department of Mathematics, University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia

autor

Tasman H.

• Department of Mathematics, University of Indonesia (UI), Kampus UI Depok, Depok 16424, Indonesia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).