Applications of First Order Ordinary Differential Equation as Mathematical Model

Abstract

The major purpose of this paper is to show the application of first order ordinary differential equation as a mathematical model particularly in describing some biological processes and mixing problems. Application of first order ordinary differential equation in modeling some biological phenomena such as logistic population model and prey-predator interaction for three species in linear food chain system have been analyzed. Furthermore, the application in substance mixing problems in both single and multiple tank systems have been demonstrated. Finally, it is demonstrated that the logistic model is more power full than the exponential model in modeling a population model.

Keywords: mathematical model; logistic model; exponential model