Numerical study of a mathematical model of disease caused by water pollution

In Typhoid fever is one of the most common diseases caused by food and water pollution and one of the environmental problems currently in the industrialized world. The infectious disease, like other diseases, including AIDS, hepatitis, etc., is modeled as a nonlinear differential equation system. In this paper, a matrix-Galerkin method is introduced for the numerical study of the mathematical model of Typhoid fever. This method in based on matrix-algabraic computation of Galerkin method that converts the model to algebraic equations. The main purpose is to find an approximate solution with a simple algorithm to determine the population behavior in the Typhoid model. The results of the method show the accuracy and efficiency of the method.