Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior
Cassava remains Sub-Saharan Africa’s second most crucial staple food crop after maize. However, production of sufficient yields is hampered by pests and diseases. In particular, the whitefly (Bemisia tabaci) has the potential to reduce expected yields by 50% since it directly damages cassava leaves...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Results in Control and Optimization |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720725000086 |
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| author | Eva Lusekelo Mlyashimbi Helikumi Salamida Daudi Steady Mushayabasa |
| author_facet | Eva Lusekelo Mlyashimbi Helikumi Salamida Daudi Steady Mushayabasa |
| author_sort | Eva Lusekelo |
| collection | DOAJ |
| description | Cassava remains Sub-Saharan Africa’s second most crucial staple food crop after maize. However, production of sufficient yields is hampered by pests and diseases. In particular, the whitefly (Bemisia tabaci) has the potential to reduce expected yields by 50% since it directly damages cassava leaves by feeding on phloem, causing chlorosis and abscission. This study develops a novel mathematical model for cassava mosaic disease that incorporates immature and adult whitefly populations. Additionally, the model includes vector feeding behavior since prior studies have shown that vectors exhibit preferences to settle for either healthy or infected hosts. We determined the offspring number and carried out its sensitivity analysis. Additionally, we carried out an optimal control study on the use of insecticides and plant roguing as disease control measures against cassava mosaic disease. Our results show that vector preference and efficiency of disease control strategies plays an important role in shaping the short and long-term dynamics of cassava mosaic disease, which subsequently impacts the design of its optimal control strategies. |
| format | Article |
| id | doaj-art-ae42be38b96e4dbd98c35a99ccbff965 |
| institution | Kabale University |
| issn | 2666-7207 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj-art-ae42be38b96e4dbd98c35a99ccbff9652025-01-12T05:26:08ZengElsevierResults in Control and Optimization2666-72072025-03-0118100522Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behaviorEva Lusekelo0Mlyashimbi Helikumi1Salamida Daudi2Steady Mushayabasa3University of Dodoma, College of Natural and Mathematical Sciences, Department of Mathematics, P.O. Box 338, Dodoma, TanzaniaMbeya University of Science and Technology, Department of Mathematics and Statistics, College of Science and Technical Education, P.O. Box 131, Mbeya, TanzaniaNational Institute of Transport, Faculty of Informatics and Technical Education, Department of Education and Mathematics, P. O. Box 705, Dar-es-Salaam, TanzaniaUniversity of Zimbabwe, Department of Mathematics & Computational Sciences, P.O. Box MP 167 Mount Pleasant, Harare, Zimbabwe; Corresponding author.Cassava remains Sub-Saharan Africa’s second most crucial staple food crop after maize. However, production of sufficient yields is hampered by pests and diseases. In particular, the whitefly (Bemisia tabaci) has the potential to reduce expected yields by 50% since it directly damages cassava leaves by feeding on phloem, causing chlorosis and abscission. This study develops a novel mathematical model for cassava mosaic disease that incorporates immature and adult whitefly populations. Additionally, the model includes vector feeding behavior since prior studies have shown that vectors exhibit preferences to settle for either healthy or infected hosts. We determined the offspring number and carried out its sensitivity analysis. Additionally, we carried out an optimal control study on the use of insecticides and plant roguing as disease control measures against cassava mosaic disease. Our results show that vector preference and efficiency of disease control strategies plays an important role in shaping the short and long-term dynamics of cassava mosaic disease, which subsequently impacts the design of its optimal control strategies.http://www.sciencedirect.com/science/article/pii/S2666720725000086Cassava mosaicWhiteflyMathematical modelVector preferenceOffspring numberReproduction number |
| spellingShingle | Eva Lusekelo Mlyashimbi Helikumi Salamida Daudi Steady Mushayabasa Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior Results in Control and Optimization Cassava mosaic Whitefly Mathematical model Vector preference Offspring number Reproduction number |
| title | Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior |
| title_full | Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior |
| title_fullStr | Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior |
| title_full_unstemmed | Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior |
| title_short | Optimal control applied to a stage-structured cassava mosaic disease model with vector feeding behavior |
| title_sort | optimal control applied to a stage structured cassava mosaic disease model with vector feeding behavior |
| topic | Cassava mosaic Whitefly Mathematical model Vector preference Offspring number Reproduction number |
| url | http://www.sciencedirect.com/science/article/pii/S2666720725000086 |
| work_keys_str_mv | AT evalusekelo optimalcontrolappliedtoastagestructuredcassavamosaicdiseasemodelwithvectorfeedingbehavior AT mlyashimbihelikumi optimalcontrolappliedtoastagestructuredcassavamosaicdiseasemodelwithvectorfeedingbehavior AT salamidadaudi optimalcontrolappliedtoastagestructuredcassavamosaicdiseasemodelwithvectorfeedingbehavior AT steadymushayabasa optimalcontrolappliedtoastagestructuredcassavamosaicdiseasemodelwithvectorfeedingbehavior |