Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls
In this paper, we have studied epidemiological models for Ebola infection using nonlinear ordinary differential equations and optimal control theory. We considered optimal control analysis of SIR and SEIR models for the deadly Ebola infection using vaccination, treatment, and educational campaign as...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/2823816 |
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| _version_ | 1832566221866795008 |
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| author | Eric Okyere Johnson De-Graft Ankamah Anthony Kodzo Hunkpe Dorcas Mensah |
| author_facet | Eric Okyere Johnson De-Graft Ankamah Anthony Kodzo Hunkpe Dorcas Mensah |
| author_sort | Eric Okyere |
| collection | DOAJ |
| description | In this paper, we have studied epidemiological models for Ebola infection using nonlinear ordinary differential equations and optimal control theory. We considered optimal control analysis of SIR and SEIR models for the deadly Ebola infection using vaccination, treatment, and educational campaign as time-dependent control functions. We have applied indirect methods to study existing deterministic optimal control epidemic models for Ebola virus disease. These methods in optimal control are based on Hamiltonian function and Pontryagin’s maximum principle to construct adjoint equations and optimality systems. The forward-backward sweep numerical scheme with the fourth-order Runge–Kutta method is used to solve the optimality system for the various control strategies. From our numerical illustrations, we can conclude that effective educational campaigns and vaccination of susceptible individuals as well as effective treatments of infected individuals can help reduce the disease transmission. |
| format | Article |
| id | doaj-art-8c1fff8978c14f809335d3c622ba7c50 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8c1fff8978c14f809335d3c622ba7c502025-02-03T01:04:47ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/28238162823816Deterministic Epidemic Models for Ebola Infection with Time-Dependent ControlsEric Okyere0Johnson De-Graft Ankamah1Anthony Kodzo Hunkpe2Dorcas Mensah3Department of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaDepartment of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaDepartment of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaDepartment of Mathematics and Statistics, University of Energy and Natural Resources, Sunyani, GhanaIn this paper, we have studied epidemiological models for Ebola infection using nonlinear ordinary differential equations and optimal control theory. We considered optimal control analysis of SIR and SEIR models for the deadly Ebola infection using vaccination, treatment, and educational campaign as time-dependent control functions. We have applied indirect methods to study existing deterministic optimal control epidemic models for Ebola virus disease. These methods in optimal control are based on Hamiltonian function and Pontryagin’s maximum principle to construct adjoint equations and optimality systems. The forward-backward sweep numerical scheme with the fourth-order Runge–Kutta method is used to solve the optimality system for the various control strategies. From our numerical illustrations, we can conclude that effective educational campaigns and vaccination of susceptible individuals as well as effective treatments of infected individuals can help reduce the disease transmission.http://dx.doi.org/10.1155/2020/2823816 |
| spellingShingle | Eric Okyere Johnson De-Graft Ankamah Anthony Kodzo Hunkpe Dorcas Mensah Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls Discrete Dynamics in Nature and Society |
| title | Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls |
| title_full | Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls |
| title_fullStr | Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls |
| title_full_unstemmed | Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls |
| title_short | Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls |
| title_sort | deterministic epidemic models for ebola infection with time dependent controls |
| url | http://dx.doi.org/10.1155/2020/2823816 |
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