MODELING OF BIOLOGICAL POPULATIONS USING FUZZY DIFFERENTIAL EQUATIONS-Reference-Cited by-同舟云学术

MODELING OF BIOLOGICAL POPULATIONS USING FUZZY DIFFERENTIAL EQUATIONS

Published:2012-01 Issue: Volume:09 Page:354-363
ISSN:2010-1945
Container-title:International Journal of Modern Physics: Conference Series
language:en
Short-container-title:Int. J. Mod. Phys. Conf. Ser.

Author:

AHMAD M. Z.¹,HASAN M. K.²

Affiliation:

1. Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02000 Kuala Perlis, Perlis, Malaysia

2. School of Information Technology, Faculty of Information Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

Abstract

This paper explores the application of fuzzy differential equations in modeling of prey and predator populations. A new model, referred to as fuzzy predator-prey model is introduced. This model is then solved numerically by means of a fuzzy Euler method. Some numerical results are presented in order to show the evolution of the prey and predator populations over time. Finally, the stability of the new fuzzy model is studied and shown graphically in the fuzzy phase plane.

Publisher

World Scientific Pub Co Pte Lt

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2010194512005429

Reference16 articles.

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3. On fuzzy differential equations

4. Existence of the solutions of fuzzy differential equations with parameters

5. Fuzzy differential equations

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