Fast and Robust Parameter Estimation in the Application of Fuzzy Logistic Equations in Population Growth

Authors

  • Nor Atirah Izzah Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia
  • Yeak Su Hoe Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia
  • Normah Maan Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Malaysia

DOI:

https://doi.org/10.11113/matematika.v35.n2.1164

Abstract

In this paper, extended Runge-Kutta fourth order method for directly solving the fuzzy logistic problem is presented. The extended Runge-Kutta method has lower number of function evaluations, compared with the classical Runge-Kutta method. The numerical robustness of the method in parameter estimation is enhanced via error minimization in predicting growth rate and carrying capacity. The results of fuzzy logistic model with the estimated parameters have been compared with population growth data in Malaysia, which indicate that this method is more accurate that the data population. Numerical example is given to illustrate the efficiency of the proposed model. It is concluded that robust parameter estimation technique is efficient in modelling population growth.

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Published

2019-07-31

How to Cite

Izzah, N. A., Hoe, Y. S., & Maan, N. (2019). Fast and Robust Parameter Estimation in the Application of Fuzzy Logistic Equations in Population Growth. MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics, 35(2), 249–259. https://doi.org/10.11113/matematika.v35.n2.1164

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Articles