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

Autores

  • Rosana Sueli da Motta Jafelice UFU
  • César Guilherme Almeida Universidade Federal de Uberlândia - UFU, Uberlândia-MG, Brasil

DOI:

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

Resumo

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.

Biografia do Autor

César Guilherme Almeida, Universidade Federal de Uberlândia - UFU, Uberlândia-MG, Brasil

Local de trabalho: Faculdade de Matemática da Universidade Federal de Uberlândia;

Área de atuação: Matemática Aplicada

Doutorado: Maemática Aplicada, Unicamp, 2000.

Referências

R.S. Cantrell, C. Cosner, Spatial Ecology via Reaction-Diffusion Equations, John Wiley and Sons Ltd., England, 2003.

M. Dorigo, T. Stützle, Ant Colony Optimization, Massachusetts Institute of Tecnology, USA, 2004.

R.M. Jafelice, C.G. Almeida, J.F.C.A. Meyer, H.L. Vasconcelos, Dispersal of

Leaf-Cutting Ants: Fuzzy Mathematical Modeling, Numerical Approximation

and Simulations. In: IFSA Word Congress - EUSFLAT Conference, Lisboa,

, pp. 271-276.

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

parameter Dispersion-attraction Partial Differential Model for an Ant Colony.

In: XXXII Congresso Nacional de Matemática Aplicada e Computacional,

Cuiabá, 2009, pp. 87-93.

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

rameters in a partial differential equation model for population dispersal of

leaf-cutting ants. Nonlinear Analysis: Real World Applications, 12 (2011)

-3412.

H. Kardestuncer, D.H. Norrie, Finite Elements Handbook, McGraw-Hill, New

York, 1987.

H.L. Vasconcelos, Foraging activity of two species of leaf-cutting ants (Atta) in a primary forest of the central Amazon, Insectes Sociaux 37 (2) (1990) 131-145.

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Publicado

2015-05-29

Como Citar

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

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Artigo Original