Simple predator-prey swarming model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 5, 2010, Pages

  Zhdankin, Vladimir ^a   Sprott, J C ^a  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INDIVIDUAL-BASED MODELS; NEWTONIAN FORCES; NONCONSERVATIVE FORCES; PREDATOR-PREY; RADIAL FORCES; REPULSIVE FORCES; SWARM BEHAVIOR; SWARMING BEHAVIOR;

ECOLOGY;

MAMMALS;

EID: 78651353543     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.056209     Document Type: Article

References (24)

1. J. K. Parrish and L. Edelstein-Keshet, Science 284, 99 (1999). 10.1126/science.284.5411.99 (Pubitemid 29282054)
2. M. Moussaid, S. Garnier, G. Theraulaz, and D. Helbing, Topics in Cognitive Science 1, 469 (2009). 10.1111/j.1756-8765.2009.01028.x
3. C. W. Reynolds, Proceedings of the 14th Annual Conference on Computer Graphics and Interactive Techniques (ACM New York, New York, 1987), pp. 25-34.
4. R. Olfati-Saber, IEEE Trans. Autom. Control 51, 401 (2006). 10.1109/TAC.2005.864190
5. T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, and O. Shochet, Phys. Rev. Lett. 75, 1226 (1995). 10.1103/PhysRevLett.75.1226
6. J. Toner and Y. Tu, Phys. Rev. E 58, 4828 (1998). 10.1103/PhysRevE.58. 4828
7. C. M. Topaz and A. L. Bertozzi, SIAM J. Appl. Math. 65, 152 (2004). 10.1137/S0036139903437424
8. C. Lett and V. Mirabet, S. Afr. J. Sci. 104, 192 (2008).
9. X. Liu, J. Wang, Z. Duan, and L. Huang, Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, 2345 (2008). 10.1142/S0218127408021749
10. Z. Duan, J. Z. Wang, and L. Huang, Phys. Lett. A 335, 139 (2005). 10.1016/j.physleta.2004.11.056 (Pubitemid 40152945)
11. V. Gazi and K. M. Passino, Int. J. Control 77, 1567 (2004). 10.1080/00207170412331330021 (Pubitemid 40056052)
12. M. R. D'Orsogna, Y. L. Chuang, A. L. Bertozzi, and L. S. Chayes, Phys. Rev. Lett. 96, 104302 (2006). 10.1103/PhysRevLett.96.104302
13. S. I. Nishimura and T. Ikegami, Artif. Life 3, 243 (1997). 10.1162/artl.1997.3.4.243
14. H. Levine, W. J. Rappel, and I. Cohen, Phys. Rev. E 63, 017101 (2000). 10.1103/PhysRevE.63.017101
15. S. H. Lee, Phys. Lett. A 357, 270 (2006). 10.1016/j.physleta.2006.04.065 (Pubitemid 44093142)
16. Y. Inada and K. Kawachi, J. Theor. Biol. 214, 371 (2002). 10.1006/jtbi.2001.2449 (Pubitemid 34948537)
17. D. Helbing and P. Molnár, Phys. Rev. E 51, 4282 (1995). 10.1103/PhysRevE.51.4282
18. J. H. Reif and H. Wang, Rob. Auton. Syst. 27, 171 (1999). 10.1016/S0921-8890(99)00004-4
19. V. Trianni, R. Gro, T. H. Labella, E. Sahin, and M. Dorigo, Lect. Notes Comput. Sci. 2801, 865 (2003). 10.1007/978-3-540-39432-7-93
20. J. C. Sprott, Am. J. Phys. 77, 783 (2009). 10.1119/1.3157152
21. See supplementary material at http://link.aps.org/supplemental/10.1103/ PhysRevE.82.056209 for animations of the figures.
22. L. Bo, C. Tian-Guang, W. Long, and W. Zhan-Feng, Chin. Phys. Lett. 22, 254 (2005). 10.1088/0256-307X/22/1/073
23. J. C. Sprott, Chaos and Time-Series Analysis (Oxford University Press, Oxford, 2003).
24. A. S. Mikhailov and D. H. Zanette, Phys. Rev. E 60, 4571 (1999). 10.1103/PhysRevE.60.4571