Stabilization of Fuzzy Prey-Predator Model Using Backstepping Method

Authors

  • Ibtisam Kamil Hanan Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq
  • Fatimah Al-Taie Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq
  • Fadhel S. Fadhel Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq
  • Akram Al-Sabbagh Department of Mathematics and Computer Applications, College of Sciences, Al-Nahrain University, Jadriya, Baghdad, Iraq

DOI:

https://doi.org/10.11113/mjfas.v20n1.3117

Keywords:

Backstepping method, Prey-Predator Model, Fuzzy numbers, Ecological Systems, Lyapunov function

Abstract

Ecological system depends on prey predator interaction and therefore, as a result, diseases may spread among prey or predator or both of them. In this work, the fuzzy logic-based systems are used to elaborate a prey-predator model to study the effect of varying in the inflection rate. Formulation of prey predator model using fuzzy logic is more realistic depiction of the phenomena, since the initial population estimates may not be precisely known in the real-life situation, therefore the initial conditions may also be considered as fuzzy. The dynamical behaviour of the fuzzy exploited system is studied by using the backstepping method. Some references working on prey-predator model, in which they used classical control schemes with a very long and complicated steps. While the proposed method of this paper simplifies the work steps. Numerical simulation results are presented to validate the theoretical analysis.

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Published

08-02-2024

Issue

Vol. 20 No. 1 (2024): January-February

Section

Article

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Copyright (c) 2024 Ibtisam Kamil Hanan, Fatimah Al-Taie, Fadhel S. Fadhel, Akram Al-Sabbagh

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