Stability analysis and optimal control for leaf brown spot disease of rice

Suprawee Lertnaweephorn; Usa Wannasigha Humphries; Amir Khan; Suprawee Lertnaweephorn; Usa Wannasigha Humphries; Amir Khan

doi:10.3934/math.2023485

AIMS Mathematics

2023, Volume 8, Issue 4: 9602-9623. doi: 10.3934/math.2023485

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Research article

Stability analysis and optimal control for leaf brown spot disease of rice

1.
Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bangkok 10140, Thailand
2.
Program of Mathematics, Faculty of Science, Ubon Ratchathani Rajabhat University, Ubon Ratchathani 34000, Thailand
3.
Department of Mathematics and Statistics, University of Swat, Swat 19120, Khyber Pakhtunkhwa, Pakistan

Received: 04 December 2022 Revised: 06 February 2023 Accepted: 10 February 2023 Published: 20 February 2023
MSC : 34D20, 34D23

Leaf brown spot, caused by fungi, is a terrible plant disease, and it can significantly reduce the quality and quantity of rice. In this paper, we developed the model based on leaf brown spot disease development and considered a preventive treatment using botanical fungicide. In addition, we develop a model with suitable optimal control strategies. The result shows disease-free equilibrium is asymptotically stable when $R_0>1$. In contrast, the endemic equilibrium is asymptotically stable when $R_0 > 1$. The obtained optimal control to can reduce the number of infected plants compared to that without control. In addition, the analytical results were confirmed by numerical simulations of the occurrence of the theoretical results.
- plant disease,
- leaf brown spot disease,
- optimal control,
- stability analysis,
- sensitivity analysis
Citation: Suprawee Lertnaweephorn, Usa Wannasigha Humphries, Amir Khan. Stability analysis and optimal control for leaf brown spot disease of rice[J]. AIMS Mathematics, 2023, 8(4): 9602-9623. doi: 10.3934/math.2023485

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Abstract

Leaf brown spot, caused by fungi, is a terrible plant disease, and it can significantly reduce the quality and quantity of rice. In this paper, we developed the model based on leaf brown spot disease development and considered a preventive treatment using botanical fungicide. In addition, we develop a model with suitable optimal control strategies. The result shows disease-free equilibrium is asymptotically stable when $R_0>1$. In contrast, the endemic equilibrium is asymptotically stable when $R_0 > 1$. The obtained optimal control to can reduce the number of infected plants compared to that without control. In addition, the analytical results were confirmed by numerical simulations of the occurrence of the theoretical results.

References

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