Numerical solution of the differential equation for simulation of the rice blast disease

I Sittisak,H Usa,H Saruda,B Thidarat,W Angkool

doi:10.4314/jasem.v21i7.8

Abstract

Rice blast disease is one of the diseases that causes damage to rice yield in Thailand. This research aims to simulate the severity of rice blast disease using the EPIRICE model for Khao Dawk Mali 105 that caused by Pyricularia oryzae in Prachin Buri, Thailand, and evaluate the simulation results by comparing with field collection data using root mean square error (RMSE). The epidemiological model consists of a system of ordinary differential equations (ODEs) that describes the dynamic of rice leaf disease. The Euler’s method is used to approximate the solutions of the ODEs. According to the RMSE, the simulation results were good agreement with the field collection data. Therefore, the numerical methods can be the technical tool for solving the severity of rice blast disease.Keywords: EPIRICE model, Khao Dawk Mali 105, Numerical Solution, Pyicularia oryzae, Rice blast disease

Highlights

TS SXNumerical solutions of rice blast disease: In this work, the rice blast disease can be described by the rate of rice change in each state (healthy, senescence, latent, infectious and removed site) over time
Thailand has a strong tradition of rice production
This study aims to simulate the severity of Khao Dawk Mali 105 (KDML105) rice blast disease under the tropical climate conditions using rice disease epidemiological model in Prachin Buri, Thailand

Summary

TS SX

Numerical solutions of rice blast disease: In this work, the rice blast disease can be described by the rate of rice change in each state (healthy, senescence, latent, infectious and removed site) over time. The solution of differential equation is the number of each sites, which is solved by Euler's method. The Euler's method is a firstorder numerical procedure for solving ODEs with a given initial value. It is the most basic explicit method for numerical integration of ODEs

The number of removed sites

Findings

Conclusion