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Optimal control and cost effectiveness analysis of tomato yellow leaf curl virus disease epidemic model

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dc.creator Hugo, Alfred
dc.creator Lusekelo, Eva mwaseba
dc.creator Kitengeso, Raymond
dc.date 2020-11-24T10:20:21Z
dc.date 2020-11-24T10:20:21Z
dc.date 2019
dc.date.accessioned 2022-10-20T13:25:31Z
dc.date.available 2022-10-20T13:25:31Z
dc.identifier Hugo, A., Lusekelo, E. M., & Kitengeso, R. (2019). Optimal control and cost effectiveness analysis of tomato yellow leaf curl virus disease epidemic model. Appl Math, 9(3), 82-88.
dc.identifier DOI: 10.5923/j.am.20190903.02
dc.identifier http://hdl.handle.net/20.500.12661/2528
dc.identifier.uri http://hdl.handle.net/20.500.12661/2528
dc.description Full Text Article. Also available at http://article.sapub.org/10.5923.j.am.20190903.02.html
dc.description This paper concentrates on the mathematical model for optimal control and cost-effectiveness analysis of tomato yellow leaf curl virus disease. The boundedness of the model has been analytically examined. The preferable optimal level of the intervention strategy to reduce the spreads and the cost of implementing control strategies were determined by introducing the time-dependent control. Pontryagin’s maximum principle was used to determine necessary conditions for the optimal control of the disease while numerical results obtained through forward-backward sweep method and fourth-order Runge-Kutta scheme using the forward solution of the state equations. The cost-effectiveness analysis results show that protective netting and removal of the infected plant is the most cost-effective strategy to combat the epidemic of tomato disease with limited resources. Therefore, TYLCV can be controlled if the farmers will effectively apply protective netting and remove the infected plants from the farm.
dc.language en
dc.publisher Scientific & Academic Publishing
dc.subject Tomato
dc.subject Optimal Control
dc.subject Disease epidemic model
dc.subject Yellow leaf curl virus
dc.subject Cost-effectiveness analysis
dc.subject Cost-effectiveness
dc.subject Tomato viral diseases
dc.subject TYLCV
dc.subject Tomato Yellow Leaf Curl Virus
dc.title Optimal control and cost effectiveness analysis of tomato yellow leaf curl virus disease epidemic model
dc.type Article


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