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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/12470

Title: Optimal control application to an Ebola model
Authors: Bonyah, Ebenezer
Badu, Kingsley
Asiedu-Addo, Samuel Kwesi
Keywords: Ebola
Optimal control
Pontryagins maximum principle
Case finding
Case holding
Issue Date: 1-Apr-2016
Publisher: Hainan Medical University
Citation: Ebenezer Bonyah et al./Asian Pac J Trop Biomed 2016; 6(4): 283–289., http://dx.doi.org/10.1016/j.apjtb.2016.01.012
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.
Description: An article published by Hainan Medical University and also available at http://dx.doi.org/10.1016/j.apjtb.2016.01.012
URI: http://hdl.handle.net/123456789/12470
Appears in Collections:College of Science

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