Mathematical analysis and numerical simulation of spatial-temporal model for rice tungro disease spread

Abstract

Agricultural sector plays an important part in the issue of food security. Increasing agricultural productivity is a sustainable strategy in agricultural development and food security. Plant diseases can significantly reduce the quality and quantity of agricultural production. Plant disease control is needed to maintain the quality and quantity, including the spread of rice disease. Mathematical modeling can be used to study plant epidemiology. In modeling plant epidemiology, several aspects need to be considered. This study aims to develop and analyze a mathematical model of the spread of plant diseases by considering the presence of disease-carrying vectors, biological agents, and spatial environmental aspects. The purpose of this study is to investigate the behavior of disease spread in plants and the influence of the spatial-temporal model that was built. We analyze conditions for the existence of the solution of the model and the equilibrium point. Numerical simulations are performed to show dynamical solution of model and confirm the results of the analysis.