WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 18, 2019



Optimal Control Model of Verticillium lecanii Application in the Spread of Yellow Red Chili Virus

AUTHORS: R. Amelia, N. Anggriani, A. K. Supriatna

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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.

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WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #43, pp. 351-358


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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