Swarming and pattern formation due to selective attraction and repulsion

Interface Focus

Volumn 2, Issue 6, 2012, Pages 746-756

  Romanczuk, Pawel ^a   Schimansky Geier, Lutz ^b,c  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

^c UNIVERSITAT DE LES ILLES BALEARS   (Spain)

Author keywords

Collective dynamics; Pattern formation; Swarming

Indexed keywords

EID: 84868295471     PISSN: 20428898     EISSN: 20428901     Source Type: Journal    
DOI: 10.1098/rsfs.2012.0030     Document Type: Article

References (50)

1. Hamilton, W. 1971 Geometry for the selfish herd. J. Theor. Biol. 31, 295-311. (doi:10.1016/0022-5193(71) 90189-5)
2. Couzin, I. D., Krause, J., James, R., Ruxton, G. D. & Franks, N. R. 2002 Collective memory and spatial sorting in animal groups. J. Theor. Biol. 218, 1-11. (doi:10.1006/ jtbi.2002.3065)
3. Krause, J. & Ruxton, G. D. 2002 Living in groups. Oxford, UK: Oxford University Press.
4. Yates, C. A., Erban, R., Escudero, C., Couzin, I. D., Buhl, J., Kevrekidis, I. G., Maini, P. K. & Sumpter, D. J. T. 2009 Inherent noise can facilitate coherence in collective swarm motion. Proc. Natl Acad. Sci. USA 106, 5464-5469. (doi:10.1073/pnas.0811195106)
5. Bazazi, S., Romanczuk, P., Thomas, S., Schimansky-Geier, L., Hale, J. J., Miller, G. A., Sword, G. A., Simpson, S. J. & Couzin, I. D. 2011 Nutritional state and collective motion: from individuals to mass migration. Proc. R. Soc. B 278, 356-363. (doi:10.1098/rspb.2010.1447)
6. Vicsek, T., Czirok, A., Ben-Jacob, E., Cohen, I. & Shochet, O. 1995 Novel type of phase transition in a system of selfdriven particles. Phys. Rev. Lett. 75, 1226-1229. (doi:10. 1103/PhysRevLett.75.1226)
7. Toner, J. &Tu, Y. 1995 Long-range order inatwo-dimensional dynamical XY model: how birds fly together. Phys. Rev. Lett. 75, 4326-4329. (doi:10.1103/PhysRevLett.75.4326)
8. Toner, J. & Tu, Y. 1998 Flocks, herds, and schools: a quantitative theory of flocking. Phys. Rev. E 58, 4828-4858. (doi:10.1103/PhysRevE.58.4828)
9. Gregoire, G. & Chate, H. 2004 Onset of collective and cohesive motion. Phys. Rev. Lett. 92, 025702. (doi:10. 1103/PhysRevLett.92.025702)
10. Aldana, M., Dossetti, V., Huepe, C., Kenkre, V. M. & Larralde, H. 2007 Phase transitions in systems of selfpropelled agents and related network models. Phys. Rev. Lett. 98, 095702. (doi:10.1103/PhysRevLett.98.095702)
11. Chate, H., Ginelli, F., Gregoire, G. & Raynaud, F. 2008 Collective motion of self-propelled particles interacting without cohesion. Phys. Rev. E 77, 046113. (doi:10.1103/ PhysRevE.77.046113)
12. Romanczuk, P., Couzin, I. D. & Schimansky-Geier, L. 2009 Collective motion due to individual escape and pursuit response. Phys. Rev. Lett. 102, 010602. (doi:10. 1103/PhysRevLett.102.010602)
13. Romanczuk, P., Bar, M., Ebeling, W., Lindner, B. & Schimansky-Geier, L. 2012 Active Brownian particles. Eur. Phys. J. Spec. Top. 202, 1951-6401. (doi:10.1140/ epjst/e2012-01529-y)
14. Leonard, N., Paley, D., Lekien, F., Sepulchre, R., Fratantoni, D. & Davis, R. 2007 Collective motion, sensor networks, and ocean sampling. Proc. IEEE 95, 48-74. (doi:10.1109/JPROC.2006.887295)
15. Sepulchre, R., Paley, D. & Leonard, N. 2008 Stabilization of planar collective motion with limited communication. IEEE Trans. Autom. Control 53, 706-719. (doi:10.1109/ TAC.2008.919857)
16. Turgut, A., Çelikkanat, H., Gokçe, F. & Ş ahin, E. 2008 Self-organized flocking in mobile robot swarms. Swarm Intell. 2, 97-120. (doi:10.1007/s11721-008-0016-2)
17. Ferrante, E., Turgut, A., Mathews, N., Birattari, M. & Dorigo, M. 2011 Flocking in stationary and nonstationary environments: a novel communication strategy for heading alignment. In Parallel problem solving from nature: PPSN XI (eds R. Schaefer, C. Cotta, J. Kolodziej & G. Rudolph). Lecture Notes in Computer Science, no. 6239, pp. 331-340. Berlin, Germany: Springer.
18. Cucker, F. & Smale, S. 2007 Emergent behavior in flocks. IEEE Trans. Autom. Control 52, 852-862. (doi:10.1109/ TAC.2007.895842)
19. Carrillo, J. A., Fornasier, M., Toscani, G. & Vecil, F. Mathematical modeling of collective behavior in socioeconomic and life sciences. In Modeling and simulation in science, engineering and technology (eds G. Naldi, L. Pareschi, G. Toscani & N. Bellomo), pp. 297-336. Boston: Birkhauser.
20. Niwa, H. 1994 Self-organizing dynamic model of fish schooling. J. Theor. Biol. 171, 123-126. (doi:10.1006/ jtbi.1994.1218)
21. Couzin, I. D., Krause, J., Franks, N. R. & Levin, S. A. 2005 Effective leadership and decision making in animal groups on the move. Nature 433, 513-516. (doi:10.1038/ nature03236)
22. Romanczuk, P., Erdmann, U., Engel, H. & Schimansky-Geier, L. 2008 Beyond the Keller-Segel model microscopic modelling of bacterial colonies. Eur. Phys. J. Spec. Top. 157, 61-77. (doi:10.1140/epjst/e2008-00631-1)
23. Bode, N.W. F., Franks, D.W. &Wood, J. A. 2010 Making noise. Emergent stochastic noise in a self propelled particle model. J. Theor. Biol. 267, 292-299. (doi:10.1016/j.jtbi. 2010.08.034)
24. Herbert-Read, J. E., Perna, A., Mann, R. P., Schaerf, T. M., Sumpter, D. J. T. &Ward, A. J.W. 2011 Inferring the rules of interaction of shoaling fish. Proc. Natl Acad. Sci. USA 108, 18 726-18 731.(doi:10.1073/pnas.1109355108).
25. Katz, Y., Tunstrøm, K., Ioannou, C. C., Huepe, C. & Couzin, I. D. 2011 Inferring the structure and dynamics of interactions in schooling fish. Proc. Natl Acad. Sci. USA 108, 18 720-18 725.(doi:10.1073/pnas.1107583108)
26. Breder, C. M. 1954 Equations descriptive of fish schools and other animal aggregations. Ecology 35, 361-370. (doi:10.2307/1930099)
27. Romey, W. L. 1996 Individual differences make a difference in the trajectories of simulated schools of fish. Ecol. Model. 92, 65-77. (doi:10.1016/0304-3800(95)00202-2)
28. Viscido, S. V., Parrish, J. K. & Grunbaum, D. 2005 The effect of population size and number of influential neighbors on the emergent properties of fish schools. Ecol. Model. 183, 347-363. (doi:10.1016/j.ecolmodel.2004.08.019)
29. Ebeling, W. &Schweitzer, F. 2001 Swarms of particle agents with harmonic interactions. Theory Biosci. 120, 207-224.
30. Erdmann, U., Ebeling, W. & Mikhailov, A. S. 2005 Noise-induced transition from translational to rotational motion of swarms. Phys. Rev. E 71, 051904. (doi:10. 1103/PhysRevE.71.051904)
31. Peruani, F., Deutsch, A. & Bar, M. 2006 Nonequilibrium clustering of self-propelled rods. Phys. Rev. E 74, 030904. (doi:10.1103/PhysRevE.74.030904)
32. Grossman, D., Aranson, I. S. & Jacob, E. B. 2008 Emergence of agent swarm migration and vortex formation through inelastic collisions. New J. Phys. 10, 023036. (doi:10.1088/1367-2630/10/2/023036)
33. Strefler, J., Erdmann, U. & Schimansky-Geier, L. 2008 Swarming in three dimensions. Phys. Rev. E 78, 031927. (doi:10.1103/PhysRevE.78.031927)
34. Strombom, D. 2011 Collective motion from local attraction. J. Theor. Biol. 283, 145. (doi:10.1016/j.jtbi. 2011.05.019)
35. Steele, A. J., Tinsley, M. & Showalter, K. 2008 Collective behavior of stabilized reaction-diffusion waves. Chaos 18, 026108. (doi:10.1063/1.2900386)
36. Lemasson, B., Anderson, J. & Goodwin, R. 2009 Collective motion in animal groups from a neurobiological perspective: the adaptive benefits of dynamic sensory loads and selective attention. J. Theor. Biol. 261, 501-510. (doi:10.1016/j.jtbi.2009.08.013)
37. Moussaid, M., Helbing, D. & Theraulaz, G. 2011 How simple rules determine pedestrian behavior and crowd disasters? Proc. Natl Acad. Sci. USA 108, 6884-6888. (doi:10.1073/pnas.1016507108)
38. Simpson, S. J., Sword, G. A., Lorch, P. D. & Couzin, I. D. 2006 Cannibal crickets on a forced march for protein and salt. Proc. Natl Acad. Sci. USA 103, 4152-4156. (doi:10. 1073/pnas.0508915103)
39. Bazazi, S., Buhl, J., Hale, J. J., Anstey, M. L., Sword, G. A., Simpson, S. J. & Couzin, I. D. 2008 Collective motion and cannibalism in locust migratory bands. Curr. Biol. 18, 735-739. (doi:10.1016/j.cub.2008.04.035)
40. Kamimura, A. &Ohira, T. 2010 Group chase and escape. New J. Phys. 12, 053013. (doi:10.1088/1367-2630/12/5/053013)
41. Sengupta, A., Kruppa, T. & Lowen, H. 2011 Chemotactic predator-prey dynamics. Phys. Rev. E 83, 031914. (doi:10.1103/PhysRevE.83.031914)
42. Guttal, V., Romanczuk, P., Simpson, S. J., Sword, G. A. & Couzin, I. D. 2012 Cannibalism can drive the evolution of behavioural phase polyphenism in locusts. Ecol. Lett. 15, 1158-1166. (doi:10.1111/j.1461-0248.2012.01840.x)
43. Couzin, I. D., Ioannou, C. C., Demirel, G., Gross, T., Torney, C. J., Hartnett, A., Conradt, L., Levin, S. A. & Leonard, N. E. 2011 Uninformed individuals promote democratic consensus in animal groups. Science 334, 1578-1580, (doi:10.1126/science.1210280)
44. Romanczuk, P. & Erdmann, U. 2010 Collective motion of active Brownian particles in one dimension. Eur. Phys. J. Spec. Top. 187, 127-134. (doi:10.1140/epjst/e2010-01277-0)
45. Romanczuk, P. & Schimansky-Geier, L. 2011 Ecol. Complex. 10, 83-92. (doi:10.1016/j.ecocom.2011.07.008)
46. Grossmann, R., Schimansky-Geier, L. & Romanczuk, P. 2012 Active Brownian particles with velocity-alignment and active fluctuations. New J. Phys. (http://arxiv.org/ abs/1204.4304)
47. Mannella, R. 2000 A gentle introduction to the integration of stochastic differential equations. In Stochastic processes in physics, chemistry, and biology, vol. 557 (eds J. Freund & T. Poeschel). Lecture Notes in Physics, pp. 353-364. Berlin/Heidelberg: Springer.
48. Schiff, W., Caviness, J. A. & Gibson, J. J. 1962 Persistent fear responses in Rhesus monkeys to the optical stimulus of 'looming'. Science 136, 982-983. (doi:10.1126/science. 136.3520.982)
49. Rind, F. C. & Simmons, P. J. 1992 Orthopteran DCMD neuron: a reevaluation of responses to moving objects. I. Selective responses to approaching objects. J. Neurophysiol. 68, 1654-1666.
50. de Vries, S. & Clandinin, T. 2012 Loom-sensitive neurons link computation to action in the Drosophila visual system. Curr. Biol. 22, 353-362. (doi:10.1016/j.cub. 2012.01.007)