Optimal control of a vectored plant disease model for a crop with continuous replanting
Vector-transmitted diseases of plants have had devastating effects on agricultural production worldwide, resulting in drastic reductions in yield for crops such as cotton, soybean, tomato, and cassava. Plant-vector-virus models with continuous replanting are investigated in terms of the effects of s...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-03-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/17513758.2019.1622808 |
| _version_ | 1819162121933422592 |
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| author | V. A. Bokil L. J. S. Allen M. J. Jeger S. Lenhart |
| author_facet | V. A. Bokil L. J. S. Allen M. J. Jeger S. Lenhart |
| author_sort | V. A. Bokil |
| collection | DOAJ |
| description | Vector-transmitted diseases of plants have had devastating effects on agricultural production worldwide, resulting in drastic reductions in yield for crops such as cotton, soybean, tomato, and cassava. Plant-vector-virus models with continuous replanting are investigated in terms of the effects of selection of cuttings, roguing, and insecticide use on disease prevalence in plants. Previous models are extended to include two replanting strategies: frequencyreplanting and abundance-replanting. In frequency-replanting, replanting of infected cuttings depends on the selection frequency parameter ε, whereas in abundance-replanting, replanting depends on plant abundance via a selection rate parameter also denoted as ε. The two models are analysed and new thresholds for disease elimination are defined for each model. Parameter values for cassava, whiteflies, and African cassava mosaic virus serve as a case study. A numerical sensitivity analysis illustrates how the equilibrium densities of healthy and infected plants vary with parameter values. Optimal control theory is used to investigate the effects of roguing and insecticide use with a goal of maximizing the healthy plants that are harvested. Differences in the control strategies in the two models are seen for large values of ε. Also, the combined strategy of roguing and insecticide use performs better than a single control. |
| first_indexed | 2024-12-22T17:23:13Z |
| format | Article |
| id | doaj.art-92970314e6a547f38fee5c9edb60b7f7 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-12-22T17:23:13Z |
| publishDate | 2019-03-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-92970314e6a547f38fee5c9edb60b7f72022-12-21T18:18:47ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662019-03-0113032535310.1080/17513758.2019.16228081622808Optimal control of a vectored plant disease model for a crop with continuous replantingV. A. Bokil0L. J. S. Allen1M. J. Jeger2S. Lenhart3Oregon State UniversityTexas Tech UniversityImperial CollegeUniversity of TennesseeVector-transmitted diseases of plants have had devastating effects on agricultural production worldwide, resulting in drastic reductions in yield for crops such as cotton, soybean, tomato, and cassava. Plant-vector-virus models with continuous replanting are investigated in terms of the effects of selection of cuttings, roguing, and insecticide use on disease prevalence in plants. Previous models are extended to include two replanting strategies: frequencyreplanting and abundance-replanting. In frequency-replanting, replanting of infected cuttings depends on the selection frequency parameter ε, whereas in abundance-replanting, replanting depends on plant abundance via a selection rate parameter also denoted as ε. The two models are analysed and new thresholds for disease elimination are defined for each model. Parameter values for cassava, whiteflies, and African cassava mosaic virus serve as a case study. A numerical sensitivity analysis illustrates how the equilibrium densities of healthy and infected plants vary with parameter values. Optimal control theory is used to investigate the effects of roguing and insecticide use with a goal of maximizing the healthy plants that are harvested. Differences in the control strategies in the two models are seen for large values of ε. Also, the combined strategy of roguing and insecticide use performs better than a single control.http://dx.doi.org/10.1080/17513758.2019.1622808Vectored plant diseasereplanting strategiesoptimal controldifferential equations |
| spellingShingle | V. A. Bokil L. J. S. Allen M. J. Jeger S. Lenhart Optimal control of a vectored plant disease model for a crop with continuous replanting Journal of Biological Dynamics Vectored plant disease replanting strategies optimal control differential equations |
| title | Optimal control of a vectored plant disease model for a crop with continuous replanting |
| title_full | Optimal control of a vectored plant disease model for a crop with continuous replanting |
| title_fullStr | Optimal control of a vectored plant disease model for a crop with continuous replanting |
| title_full_unstemmed | Optimal control of a vectored plant disease model for a crop with continuous replanting |
| title_short | Optimal control of a vectored plant disease model for a crop with continuous replanting |
| title_sort | optimal control of a vectored plant disease model for a crop with continuous replanting |
| topic | Vectored plant disease replanting strategies optimal control differential equations |
| url | http://dx.doi.org/10.1080/17513758.2019.1622808 |
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