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Collective behavior of animals: swarming and complex patterns

  • Autores: José Alfredo Cañizo Rincón Árbol académico, José Antonio Carrillo Árbol académico, J. Rosado
  • Localización: Arbor: Ciencia, pensamiento y cultura, ISSN 0210-1963, Nº 746, 2010 (Ejemplar dedicado a: Las matemáticas de Darwin), págs. 1035-1049
  • Idioma: inglés
  • DOI: 10.3989/arbor.2010.746n1252
  • Títulos paralelos:
    • Comportamiento colectivo de animales "swarming" y patrones complejos
  • Enlaces
  • Resumen

    • En esta nota repasamos algunos modelos basados en individuos para describir el movimiento colectivo de agentes, a lo que nos referimos usando la voz inglesa swarming. Estos modelos se basan en EDOs (ecuaciones diferenciales ordinarias) y muestran un comportamiento asintótico complejo y rico en patrones, que mostramos numéricamente. Además, comentamos cómo se conectan estos modelos de partículas con las ecuaciones en derivadas parciales para describir la evolución de densidades de individuos de forma continua. Las cuestiones matemáticas relacionadas con la estabilidad de de estos modelos de EDP's (ecuaciones en derivadas parciales) despiertan gran interés en la investigación en biología matemática.

  • Referencias bibliográficas
    • [1] I. Aoki. A Simulation Study on the Schooling Mechanism in Fish. Bulletin of the Japanese Society of Scientific Fisheries 48(8) (1982)...
    • [2] M. Ballerini, N. Cabibbo, R. Candelier, A. Cavagna, E. Cisbani, L. Giardina, L. Lecomte, A. Orlandi, G. Parisi, A. Procaccini, M. Viale,...
    • [3] A. Barbaro, K. Taylor, P. F. Trethewey, L. Youseff, B. Birnir. Discrete and continuous models of the dynamics of pelagic fish: application...
    • [4] A. Barbaro, B. Einarsson, B. Birnir, S. Sigurthsson, H. Valdimarsson, O. K. Palsson, S. Sveinbjornsson, T. Sigurthsson. Modelling and...
    • [5] B. Birnir. An ODE model of the motion of pelagic fish, J. Stat. Phys. 128 (2007) 535-568. doi:10.1007/s10955-007-9292-2
    • [6] E. Bonabeau, M. Dorigo, G. Theraulaz. Swarm Intelligence: From Natural to Artificial Systems, Oxford University Press, New York (1999).
    • [7] M. Burger, V. Capasso, D. Morale. On an aggregation model with long and short range interactions, Nonlinear Analysis. Real World Applications....
    • [8] S. Camazine, J.-L. Deneubourg, N.R. Franks, J. Sneyd, G. Theraulaz and E. Bonabeau. Self-Organization in Biological Systems, Princeton...
    • [9] J. A. Cañizo, J. A. Carrillo, J. Rosado. A well-posedness theory in measures for some kinetic models of collective motion, preprint UAB,...
    • [10] J. A. Carrillo, M. R. D'Orsogna, V. Panferov. Double milling in selfpropelled swarms from kinetic theory, Kinetic and Related Models...
    • [11] J.-A. Carrillo, M. Fornasier, J. Rosado, G. Toscani. Asymptotic Flocking Dynamics for the kinetic Cucker-Smale model, preprint UAB, http://mat.uab.cat/departament.
    • [12] Y.-L. Chuang, Y. R. Huang, M. R. D'Orsogna, A. L. Bertozzi. Multivehicle flocking: scalability of cooperative control algorithms...
    • [13] Y.-L. Chuang, M. R. D'Orsogna, D. Marthaler, A. L. Bertozzi, L. Chayes. State transitions and the continuum limit for a 2D interacting,...
    • [14] I.D. Couzin, J. Krause, N.R. Franks, S.A. Levin. Effective leadership and decision making in animal groups on the move, Nature 433 (2005)...
    • [15] I. D. Couzin, J. Krause, R. James, G. Ruxton, N. Franks. Collective memory and spatial sorting in animal groups, Journal of Theoretical...
    • [16] F. Cucker, S. Smale. On the mathematics of emergence, Japan. J. Math. 2 (2007) 197-227. doi:10.1007/s11537-007-0647-x
    • [17] F. Cucker, S. Smale. Emergent behavior in flocks, IEEE Trans. Automat. Control 52 (2007) 852-862. doi:10.1109/TAC.2007.895842
    • [18] M. R. D'Orsogna, Y.-L. Chuang, A. L. Bertozzi, L. Chayes. Self-propelled particles with soft-core interactions: patterns, stability,...
    • [19] R. Eftimie, G. de Vries, M. A. Lewis. Complex spati al group patterns result from different animal communication mechanisms, Proceedings...
    • [20] G. Grégoire, H. Chaté. Onset of collective and cohesive motion, Phy. Rev. Lett. 92 (2004) 025702-1/4.
    • [21] S.-Y. Ha J.-G. Liu. A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, to appear in Comm. Math. Sci. 7 (2009)...
    • [22] S.-Y. Ha, E. Tadmor, From particle to kinetic and hydrodynamic descriptions of flocking, Kinetic and Related Models 1 (2008) 415-435.
    • [23] S.-Y. Ha, T. Ha, J.-H. Kim, Emergent behavior of a Cucker-Smale type particle model with nonlinear velocity couplings, preprint.
    • [24] C. K. Hemelrijk, H. Kunz. Density distribution and size sorting in fish schools: an individual-based model. Behavioral Ecology 16 (2005)...
    • [25] C. K. Hemelrijk, H. Hildenbrandt. Self-Organized Shape and Frontal Density of Fish Schools. Ethology 114 (2008) 245-254. doi:10.1111/j.1439-0310.2007.01459.x
    • [26] H. Hildenbrandt, C. Carere, C. K. Hemelrijk, Self-organised complex aerial displays of thousands of starlings: a model.
    • [27] A. Huth, C. Wissel. The Simulation of the Movement of Fish Schools. Journal of Theoretical Biology 156 (1992) 365-385. doi:10.1016/S0022-5193(05)80681-2
    • [28] A.L. Koch, D. White. The social lifestyle of myxobacteria, Bioessays 20 (1998) 1030-1038. doi:10.1002/(SICI)1521-1878(199812)20:12<1030::AID-BIES9>3.3.CO;2-Z
    • [29] H. Kunz, C. K. Hemelrijk. Artificial fish schools: collective effects ofschool size, body size, and body form,z Artificial Life 9(3)...
    • [30] H. Kunz, T. Zu.blin, C. K. Hemelrijk. On prey grouping and predator confusion in artificial fish schools. Proceedings of the Tenth International...
    • [31] H. Levine, W.-J. Rappel, I. Cohen. Self-organization in systems of self-propelled particles, Phys. Rev. E 63 (2000) 017101-1/4.
    • [32] Y.X. Li, R. Lukeman, L. Edelstein-Keshet. Minimal mechanisms for school formation in self-propelled particles, Physica D 237 (2008) 699-720....
    • [33] R. Lukeman, Y.X. Li and L. Edelstein-Keshet, A conceptual model for milling formations in biological aggregates, Bull Math Biol. 71 (2008)...
    • [34] A. Mogilner, L. Edelstein-Keshet, L. Bent, A. Spiros. Mutual interactions, potentials, and individual distance in a social aggregation,...
    • [35] J. Parrish, L. Edelstein-Keshet. Complexity, pattern, and evolutionary trade-offs in animal aggregation, Science 294 (1999) 99-101. doi:10.1126/science.284.5411.99...
    • [36] L. Perea, G. Gómez, P. Elosegui. Extension of the Cucker-Smale control law to space flight formations, AIAA Journal of Guidance, Control,...
    • [37] D. Ruelle. Statistical mechanics: Rigorous results, W. A. Benjamin, Inc., New York-Amsterdam (1969).
    • [38] T.C. Schneirla. Army Ants: A Study in Social Organization, W.H. Freeman 1971.
    • [39] J. Shen. Cucker-Smale Flocking under Hierarchical Leadership. SIAM J. Appl. Math. 68:3 (2008) 694-719. doi:10.1137/060673254
    • [40] H. Spohn. Large scale dynamics of interacting particles, Texts and Monographs in Physics, Springer (1991).
    • [41] C.M. Topaz A.L. Bertozzi. Swarming patterns in a two-dimensional kinematic model for biological groups, SIAM J. Appl. Math. 65 (2004)...
    • [42] C.M. Topaz, A.L. Bertozzi M.A. Lewis, A nonlocal continuum model for biological aggregation, Bulletin of Mathematical Biology 68 (2006)...
    • [43] T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen and O. Shochet. Novel type of phase transition in a system of self-driven particles, Phys....
    • [44] S. V. Viscido, J. K. Parrish, D. Grünbaum. 2004. Individual behavior and emergent properties of fish schools: a comparison of observation...
    • [45] S. V. Viscido, J. K. Parrish, D. Grünbaum. The effect of population size and number of influential neighbors on the emergent properties...
    • [46] C. Yates, R. Erban, C. Escudero, L. Couzin, J. Buhl, L. Kevrekidis, P. Maini, D. Sumpter, Inherent noise can facilitate coherence in...
    • [47] L. M. Youseff, A. B. T. Barbaro, P. F. Trethewey, B. Birnir, J. Gilbert. Parallel modeling of fish interaction. Parallel Modeling of...
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