A Numerical Study for Solving Mathematical Fuzzy Population Model

Abstract

Population models are used to determine maximum harvest for agriculturists and to understand the dynamics of biological invasions and for environmental conservation. Also, population models are used to understand the spread of parasites, viruses and disease. However, the mathematical model of population can be used to make future prediction of the growth of population. In this paper, numerical study for solving mathematical fuzzy population model has been introduced. The development of direct explicit numerical integrators of RK-type to be consistent with solving fuzzy ordinary differential equations. The computational efficiency of the numerical method has been developed. The advantage and the efficiency of the proposed method have been shown clearly using the numerical results which are agree well with analytical solutions due to the proposed method is more efficient and accurate method.