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Optimal control of plant disease model with roguing, replanting, curative, and preventive treatment
Author(s) -
Nursanti Anggriani,
Rika Amelia,
Noor Istifadah,
D. Arumi
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1657/1/012050
Subject(s) - pontryagin's minimum principle , optimal control , maximum principle , disease control , population , control (management) , disease , control theory (sociology) , computer science , medicine , mathematical optimization , mathematics , environmental health , artificial intelligence , pathology
In this paper, we determine the optimal control of plant disease model with roguing, replanting, curative, and preventive treatment using the Maximum Pontryagin principle. Numerical simulation results show that the procedure can reduce the population of infected plants. Therefore, controlling by roguing, replanting, curative, and preventive treatment is highly recommended to increase the number of susceptible, removed, and protected plants.

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