R. Amelia, N. Anggriani, A. K. Supriatna, "Optimal Control Model of Verticillium lecanii Application in the Spread of Yellow Red Chili Virus," WSEAS Transactions on Mathematics, vol. 18, pp. 351-358, 2019, DOI:
R. Amelia, N. Anggriani, A. K. Supriatna. Optimal Control Model of Verticillium lecanii Application in the Spread of Yellow Red Chili Virus.
WSEAS Transactions on Mathematics. 2019;18:351-358.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 18, 2019
Optimal Control Model of Verticillium lecanii Application in the Spread of Yellow Red Chili Virus
Authors: , ,
Abstract: In this study, we developed a model of yellow viral disease of red chili plants that are spread through whitefly bugs (Bemisia tabaci). In addition, we used optimal control theory with Pontryagin’s minimum principle to determine the optimal control of Verticillium lecanii (V. lecanii) applications so as to minimize the costs incurred in reducing the intensity of the spread of yellow viral diseases. The results showed that V. lecanii was sufficiently applied for 15 days with the application of 90% of the prescribed dose to minimize the costs incurred by farmers in the cultivation of red chili plants.
Keywords:
Optimal control, Pontryagin’s Minimum Principle, Mathematical Modeling, V. lecanii, Yellow Virus, Red Chili, Plant Disease.
Pages: 351-358 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #43 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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