Fuzzy modeling of reoccupation of a leaf-cutting ants’ trail

Authors

  • Rosana Sueli da Motta Jafelice UFU
  • César Guilherme Almeida Universidade Federal de Uberlândia

DOI:

https://doi.org/10.5540/tema.2015.016.01.0041

Abstract

In this paper we model the reoccupation of a trail by leaf-cutting ants.
The mathematical modeling consists in studying the leaf-cutting ants’ displacement
towards an attraction area and their return to the nest. To carry out this research,
we utilized the diffusion-advection equation, where the dispersion and velocity to-
wards x and y, are fuzzy parameters. The experts affirm that the pheromone is an
important variable concerning trail reoccupation because it influences leaf-cutting
ants dispersion and velocity of displacement. The numerical simulations took into
account the pheromone through the Fuzzy Rule-Based System (FRBS). The numer-
ical results are compatible with the biological phenomenon studied.

Author Biography

César Guilherme Almeida, Universidade Federal de Uberlândia

Faculdade de Matemática

References

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R.M. Jafelice, C.G. Almeida, J.F.C.A. Meyer, H.L. Vasconcelos, Fuzzy pa-

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Published

2015-05-29

How to Cite

Jafelice, R. S. da M., & Almeida, C. G. (2015). Fuzzy modeling of reoccupation of a leaf-cutting ants’ trail. Trends in Computational and Applied Mathematics, 16(1), 41–49. https://doi.org/10.5540/tema.2015.016.01.0041

Issue

Vol. 16 No. 1 (2015)

Section

Original Article

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