Fuzzy parameters in a partial differential equation model for population dispersal of leaf-cutting ants

Nonlinear Analysis: Real World Applications

Volumn 12, Issue 6, 2011, Pages 3397-3412

  Motta Jafelice, R ^a   Almeida, C ^a   Meyer, J F C A ^b   Vasconcelos, H L ^a  

^a Federal University of Uberlndia   (Brazil)

^b UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Fuzzy set; Leaf cutting ants; Mathematical modeling; Numerical methods; Partial differential equation

Indexed keywords

AMAZON REGION; ANT COLONIES; ATTRACTIVE REGION; BIOLOGICAL PHENOMENA; CONSTANT DISPERSIONS; DETERMINISTIC EQUATIONS; FINITE ELEMENT; FORAGING BEHAVIORS; FUZZY MODELS; FUZZY PARAMETER; FUZZY RULE-BASED SYSTEMS; HIGH CONCENTRATION; HOST PLANTS; LEAF-CUTTING ANTS; MATHEMATICAL MODELING; MOVEMENT CHARACTERISTICS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL; POPULATION DISPERSAL; REGION OF ATTRACTION;

DIFFERENTIATION (CALCULUS); DISPERSIONS; FUZZY SETS; LANDFORMS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; POPULATION STATISTICS;

FINITE ELEMENT METHOD;

EID: 80052025420     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.06.003     Document Type: Article

References (28)

1. J.D. Murray Mathematical Biology: I An Introduction third ed. 2002 Springer-Verlag New York, Berlin, Heidelberg
2. J.D. Shepherd Trunk trails and searching strategy of a leaf-cutting ant, Atta colombica Behavioral Ecology and Sociobiology 11 1982 77 84
3. H.L. Vasconcelos, and H.G. Fowler Foraging and fungal substrate selection by leaf-cutting ants R.K.V. Meer, K. Jaffé, A. Cedeo, Applied Myrmecology: A World Perspective 1999 Westview Press Boulder, CO, USA 410 419
4. H.G. Fowler, and E.W. Stiles Conservative resource management by leaf-cutting ants? The role of foraging territories and trails, and environmental patchiness Sociobiology 5 1980 25 41
5. B. Hölldobler, and E.O. Wilson The Ants 1990 Belknap Press Cambridge, MA USA
6. S.P. Hubbel, and D.F. Wiemer Host plant selection by an attine ant P. Jaisson, Social Insects in The Tropics vol. 2 1983 University of Paris Press Paris 133 154
7. F.M. Mundim, A.N. Costa, and H.L. Vasconcelos Leaf nutrient content and host-plant selection by leaf-cutter ants, Atta laevigata, in a Neotropical savanna Entomologia Experimentalis et Applicata 130 2009 47 54
8. A.G. Farji-Brener, G. Barrantes, O. Laverde, K. Fierro-Calderón, F. Bascopé, A. López, and A. Fallen branches as part of leaf-cutting ant trails: their role in resource discovery and leaf transport rates in Atta cephalotes Biotropica 39 2007 211 215
9. R.S. Cantrell, and C. Cosner Spatial Ecology Via ReactionDiffusion Equations 2003 John Wiley and Sons Ltd. England
10. L.C. Barros, R.C. Bassanezi, and M.B. Leite The epidemiological models SI with fuzzy parameter of transmission Computers and Mathematics with Applications 45 2003 1619 1628
11. R.M. Jafelice, L.C. Barros, R.C. Bassanezi, and F. Gomide Fuzzy modeling in asymptomatic HIV virus infected population Bulletin of Mathematical Biology 66 6 2004 1597 1620 (Pubitemid 39444485)
12. R.M. Jafelice, L.C. Barros, R.C. Bassanezi, and F. Gomide Methodology to determine the evolution of asymptomatic HIV population using fuzzy set theory International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 13 2005 39 58 (Pubitemid 40538154)
13. N. Ortega, L.C. Barros, and E. Massad Fuzzy gradual rules in epidemiology, Kybernetes The International Journal of Systems and Cybernetics 32 4 2003 460 477 (Pubitemid 36467892)
14. V. Krivan, and G. Colombo A non-stochastic approach for modeling uncertainty in population dynamics Bulletin of Mathematical Biology 60 1998 721 751 (Pubitemid 28341201)
15. L.A. Zadeh Information and control Fuzzy Sets 8 1965 338 353
16. V. Rozin, and M. Margaliot The Fuzzy Ant IEEE Computational Intelligence Magazine 2 4 2007 18 28
17. M. Dorigo, M. Birattari, and T. Sttzle Ant colony optimization: artificial ants as a computational intelligence technique IEEE Computational Intelligence Magazine 2006 28 39 (Pubitemid 46118248)
18. W. Pedrycz, and F. Gomide An Introduction to Fuzzy Sets: Analysis and Design 1998 Massachusetts Institute of Technology Cambridge, EUA
19. E.H. Mamdani, and S. Assilian An experiment in linguistic synthesis with fuzzy logic controller International Journal of ManMachine Studies 7 1 1975 1 13
20. E.H. Mamdani Advances in the linguistic synthesis of fuzzy controllers International Journal of ManMachine Studies 8 6 1976 669 678
21. 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
22. M.N.G. Ribeiro Aspectos climatológicos de Manaus Acta Amazonica 6 1976 229 233
23. W.R. Ferreira, M. Fortes, and R.A.C. Junho Solute infiltration in irrigated agricultural soilsnumerical solution by difusional method International Agricultural Engineering Journal 21 3 2001 247 255
24. L.C. Paraba, P. Pulino, Simula numérica da disperso-advec de pesticidas sob efeito da temperatura do solo: o Modelo da Peste, Relatório de Pesquisa 04/2003, IMECC, UNICAMP, 2003 (in Portuguese).
25. H. Kardestuncer, and D.H. Norrie Finite Elements Handbook 1987 McGraw-Hill New York
26. L.A. Kato, Modelos matemáticos de disperso em mltiplas escalas e um estudo da propaga de leses foliares em grandes plantaes, Ph.D. Thesis, UNICAMP, Campinas, Brazil, 2004 (in Portuguese).
27. R.C. Sossae, Disperso populacional e processos de migra: uma dinmica populacional densidade-dependente, Masters Thesis, UNICAMP, Campinas, Brazil, 1995 (in Portuguese).
28. C.G. Almeida, R.M. Jafelice, J.F.C.A. Meyer, Modelagem fuzzy em dinmica populacional, in: Proccedings XXIX Congresso Nacional de Matemática Aplicada e Computacional, Campinas, Brazil, 2006 (in Portuguese).