An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant
In this paper we formulated and analyzed an optimal deterministic eco-epidemiological model for the dynamics of maize streak virus (MSV) and examine the best strategy to fight maize population from maize streak disease (MSD). The optimal control model is developed with three control interventions, n...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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KeAi Communications Co., Ltd.
2021-01-01
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| Series: | Infectious Disease Modelling |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468042720301056 |
| _version_ | 1797204311182147584 |
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| author | Haileyesus Tessema Alemneh Assefa Sintayehu Kassa Anteneh Asmare Godana |
| author_facet | Haileyesus Tessema Alemneh Assefa Sintayehu Kassa Anteneh Asmare Godana |
| author_sort | Haileyesus Tessema Alemneh |
| collection | DOAJ |
| description | In this paper we formulated and analyzed an optimal deterministic eco-epidemiological model for the dynamics of maize streak virus (MSV) and examine the best strategy to fight maize population from maize streak disease (MSD). The optimal control model is developed with three control interventions, namely prevention (u1), quarantine (u2) and chemical control (u3). To achieve an optimal control strategy, we used the Pontryagin’s maximum principle obtain the Hamiltonian, the adjoint variables, the characterization of the controls and the optimality system. Numerical simulations are performed using Forward-backward sweep iterative method. The findings show that each integrated strategy is able to mitigate the disease in the specified time. However due to limited resources, it is important to find a cost-effective strategy. Using Incremental Cost-Effectiveness Ratio(ICER) a cost-effectiveness analysis is investigated and determined that the combination of prevention and quarantine is the best cost-effective strategy from the other integrated strategies. Therefore, policymakers and stakeholders should apply the integrated intervention to stop the spread of MSV in the maize population. |
| first_indexed | 2024-04-24T08:33:12Z |
| format | Article |
| id | doaj.art-3aa363d7ccff4aef8492ca9d68497ead |
| institution | Directory Open Access Journal |
| issn | 2468-0427 |
| language | English |
| last_indexed | 2024-04-24T08:33:12Z |
| publishDate | 2021-01-01 |
| publisher | KeAi Communications Co., Ltd. |
| record_format | Article |
| series | Infectious Disease Modelling |
| spelling | doaj.art-3aa363d7ccff4aef8492ca9d68497ead2024-04-16T18:19:34ZengKeAi Communications Co., Ltd.Infectious Disease Modelling2468-04272021-01-016169182An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plantHaileyesus Tessema Alemneh0Assefa Sintayehu Kassa1Anteneh Asmare Godana2Department of Mathematics, College of Natural and Computational Sciences, University of Gondar, Gondar, Ethiopia; Pan African University Institute of Basic Sciences, Technology and Innovation, Nairobi, Kenya; Corresponding author. Department of Mathematics, College of Natural and Computational Sciences, University of Gondar, Gondar, Ethiopia.Department of Plant Sciences, College of Agriculture and Rural Transformation, University of Gondar, Gondar, EthiopiaDepartment of Statistics, College of Natural and Computational Sciences, University of Gondar, Gondar, EthiopiaIn this paper we formulated and analyzed an optimal deterministic eco-epidemiological model for the dynamics of maize streak virus (MSV) and examine the best strategy to fight maize population from maize streak disease (MSD). The optimal control model is developed with three control interventions, namely prevention (u1), quarantine (u2) and chemical control (u3). To achieve an optimal control strategy, we used the Pontryagin’s maximum principle obtain the Hamiltonian, the adjoint variables, the characterization of the controls and the optimality system. Numerical simulations are performed using Forward-backward sweep iterative method. The findings show that each integrated strategy is able to mitigate the disease in the specified time. However due to limited resources, it is important to find a cost-effective strategy. Using Incremental Cost-Effectiveness Ratio(ICER) a cost-effectiveness analysis is investigated and determined that the combination of prevention and quarantine is the best cost-effective strategy from the other integrated strategies. Therefore, policymakers and stakeholders should apply the integrated intervention to stop the spread of MSV in the maize population.http://www.sciencedirect.com/science/article/pii/S2468042720301056MSVEco-epidemiological modelOptimal control theoryNumerical simulationCost-effectiveness analysis |
| spellingShingle | Haileyesus Tessema Alemneh Assefa Sintayehu Kassa Anteneh Asmare Godana An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant Infectious Disease Modelling MSV Eco-epidemiological model Optimal control theory Numerical simulation Cost-effectiveness analysis |
| title | An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant |
| title_full | An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant |
| title_fullStr | An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant |
| title_full_unstemmed | An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant |
| title_short | An optimal control model with cost effectiveness analysis of Maize streak virus disease in maize plant |
| title_sort | optimal control model with cost effectiveness analysis of maize streak virus disease in maize plant |
| topic | MSV Eco-epidemiological model Optimal control theory Numerical simulation Cost-effectiveness analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2468042720301056 |
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