Solving Fuzzy Time Delay Malthusian Growth model using Runge - Kutta Method Based on Centroidal Mean

Background/Objective: A mathematical formula for population growth is known as the Malthusian growth model. According to this theory, the pace of growth corresponds to the current population. In terms of functionality, this is similar to exponential growth, in which population size increases at a fixed rate over regular intervals. The main aim of this article is to solve the Malthusian growth model in a fuzzy environment using the fourth-order Runge- Kutta method based on Centroidal Mean (RK4CeM). Methods: The fourth order Runge – Kutta method based on Centroidal Mean is used to obtain an approximate solution for the Malthusian growth model. In this study, we deal with the problem of fuzzy delay differential equation with constant delay using the fourth order Runge – Kutta method based on Centroidal mean where the linear interpolation is used to approximate the delay term. Findings: A numerical example of fuzzy time delay Malthusian growth model has been considered to demonstrate the efficiency of the proposed method. The solution graph of the proposed method is well comparable with the exact solution of the problem. Novelty: The numerical solutions and solution graph of the proposed method are well comparable with the exact solution and Euler method. This ensures the accuracy of the computed results. Hence, the proposed method is effective and suitable for solving fuzzy delay differential equations.