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

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.

Automated summary

In this paper, we developed a model based on the development of leaf brown spot disease and investigated the effectiveness of preventive treatment using botanical fungicide. We also proposed suitable optimal control strategies. The results show that the disease-free equilibrium is asymptotically stable when R-0 > 1, while the endemic equilibrium is asymptotically stable when R-0 > 1. The optimal control obtained can reduce the number of infected plants compared to no control. The analytical results were further confirmed by numerical simulations.