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Optimal control application to an Ebola model

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dc.contributor.author Bonyah, E.
dc.contributor.author Badu, K.
dc.contributor.author Asiedu-Addo, S.K.
dc.date.accessioned 2019-11-27T14:31:38Z
dc.date.available 2019-11-27T14:31:38Z
dc.date.issued 2016
dc.identifier.other 10.1016/j.apjtb.2016.01.012
dc.identifier.uri http://ir.uew.edu.gh/xmlui/handle/123456789/295
dc.description Published in Asian Pacific Journal of Tropical Biomedicine en_US
dc.description.abstract Ebola virus is a severe, frequently fatal illness, with a case fatality rate up to 90%. The outbreak of the disease has been acknowledged by World Health Organization as Public Health Emergency of International Concern. The threat of Ebola in West Africa is still a major setback to the socioeconomic development. Optimal control theory is applied to a system of ordinary differential equations which is modeling Ebola infection through three different routes including contact between humans and a dead body. In an attempt to reduce infection in susceptible population, a preventive control is put in the form of education and campaign and two treatment controls are applied to infected and late-stage infected (super) human population. The Pontryagins maximum principle is employed to characterize optimality control, which is then solved numerically. It is observed that time optimal control is existed in the model. The activation of each control showed a positive reduction of infection. The overall effect of activation of all the controls simultaneously reduced the effort required for the reduction of the infection quickly. The obtained results present a good framework for planning and designing cost-effective strategies for good interventions in dealing with Ebola disease. It is established that in order to reduce Ebola threat all the three controls must be taken into consideration concurrently. en_US
dc.description.sponsorship "University of Ghana Noguchi Memorial Institute for Medical Research, University of Ghana" Ebenezer Bonyah acknowledges the support of the Department of Mathematics and Statistics, Kumasi Polytechnic Institute . Samuel Kwesi Asiedu acknowledges, with gratitude, the support from Department of Mathematics Education, Winneba , Ghana for the production of this paper. Dr. Kingsley Badu acknowledges the support from the Post-Doctoral Fellowship Program at the Noguchi Memorial Institute for Medical Research , University of Ghana. Dr. Bonyah is supported by the foundation project which is funded by Government of Ghana Annual University Lecturers Research Grant (Grant No. 01/2015 ). Dr. Badu is supported by Postdoctoral Grant from the Noguchi Memorial Institute for Medical Research. en_US
dc.language.iso en en_US
dc.publisher Hainan Medical University en_US
dc.relation.ispartofseries Volume : 6;Issue : 4
dc.subject Case finding en_US
dc.subject Case holding en_US
dc.subject Ebola en_US
dc.subject Optimal control en_US
dc.subject Pontryagins maximum principle en_US
dc.title Optimal control application to an Ebola model en_US
dc.type Other en_US


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