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Asymptotic regime in N random interacting species

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Abstract.

The asymptotic regime of a complex ecosystem with N random interacting species and in the presence of an external multiplicative noise is analyzed. We find the role of the external noise on the long time probability distribution of the ith density species, the extinction of species and the local field acting on the ith population. We analyze in detail the transient dynamics of this field and the cavity field, which is the field acting on the ith species when this is absent. We find that the presence or the absence of some population give different asymptotic distributions of these fields.

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References

  • G. Baxter, A.J. McKane, M.B. Tarlie, Phys Rev. E 71, 011106 (2005); A.J. McKane, T.J. Newman, Phys. Rev. Lett. 94, 218102 (2005); A. Shabunin, A. Efimov, G.A. Tsekouras et al., Physica A 347, 117 (2005); K. Tokita, Phys. Rev. Lett. 93, 178102 (2004); G.J. Ackland, I.D. Gallagher, Phys. Rev. Lett. 93, 158701 (2004); R. Mankin, A. Sauga, A. Ainsaar et al., Phys. Rev. E 69, 061106 (2004); Y. De Decker, G.A. Tsekouras, A. Provata et al., Phys. Rev. E 69, 036203 (2004); G.A. Tsekouras, A. Provata, C. Tsallis, Phys. Rev. E 69, 016120 (2004); A. Provata, G.A. Tsekouras, F. Diakonos et al., Fluct. Noise Lett. 3, L241 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  • J.D. Murray, Mathematical Biology, 2nd edn. (Springer, New York, 1993), 54 (1996)

  • C. Escudero, J. Buceta, F.J. de la Rubia, K. Lindenberg, Phys. Rev. E 69, 021908 (2004); T.J. Kawecki, R.D. Holt, Am. Nat. 160, 333 (2002); M. Droz, A. Pękalski, Phys. Rev. E 69, 051912 (2004); I. Giardina, J.P. Bouchaud, M. Mezard, J. Phys. A: Math. Gen. 34, L245 (2001); H Rieger, J. Phys. A: Math. Gen. 22, 3447 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  • J.E.S. Socolor, S. Richards, W.G. Wilson, Phys. Rev. E 63, 041908 (2001)

    Article  ADS  Google Scholar 

  • A. Fiasconaro, D. Valenti, B. Spagnolo, Acta Phys. Pol. B 35, 1491 (2004); D. Valenti, A. Fiasconaro, B. Spagnolo, Acta Phys. Pol. B 35, 1481 (2004); A. La Barbera, B. Spagnolo, Physica A 314, 120 (2001)

    ADS  Google Scholar 

  • B. Spagnolo A. Fiasconaro, D. Valenti, Fluct. Noise Lett. 3, L177 (2003); B. Spagnolo, A. La Barbera, Physica A 315, 201 (2002); A. F. Rozenfeld Rozenfeld, C.J. Tessone, E. Albano, H.S. Wio, Phys. Lett. A 280, 45 (2001); J.M. G. Vilar, R.V. Solé, Phys. Rev. Lett. 80, 4099 (1998)

    MathSciNet  Google Scholar 

  • See the special section on Complex Systems, Science 284, 79 (1999); the special section on Ecology Through Time, Science 293, 623 (2001)

    Article  Google Scholar 

  • D. Valenti, A. Fiasconaro, B. Spagnolo, Physica A 331, 477 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  • B. Spagnolo D. Valenti, A. Fiasconaro, Math. Biosciences and Eng. 1, 185 (2004); D.F. Russel, L.AQ. Wilkens, F. Moss, Nature 402, 291 (2000)

    MATH  MathSciNet  Google Scholar 

  • S. Moss de Oliveira, Domingos Alves, J.S. Sá Martins, Physica A 285, 77 (2000)

    Article  ADS  MATH  Google Scholar 

  • Luca Peliti, Introduction to the statistical theory of Darwinian evolution, arXiv:cond-mat/9712027, (1997)

  • M. Eigen, Naturwissenschaften 58, 465 (1971); M. Eigen, J.Mc Caskill, P. Schuster, Adv. Chem. Phys. 75, 149 (1989)

    Article  Google Scholar 

  • T.J.P. Penna, J. Stat. Phys. 78, 1629 (1995)

    Article  Google Scholar 

  • S. Ciuchi, F. de Pasquale, B. Spagnolo, Phys. Rev. E 54, 706 (1996); S. Ciuchi, F. de Pasquale, B. Spagnolo, Phys. Rev. E 47, 3915 (1993); P. Barrera, S. Ciuchi, B. Spagnolo, J. Phys. A: Math. Gen. 26, L559 (1993)

    Article  ADS  Google Scholar 

  • B. Spagnolo, M.A. Cirone, A. La Barbera, F. de Pasquale, J. Phys.: Condens. Matter 14, 2247 (2002); M. A. Cirone, F. de Pasquale, B. Spagnolo, Fractals 11, 217 (2003); B. Spagnolo, D. Valenti, A. Fiasconaro, Prog. Theor. Phys. Suppl. 157, 312 (2005)

    Article  ADS  Google Scholar 

  • S. Ciuchi, F. de Pasquale, P. Monachesi, B. Spagnolo, Phys. Rev. B 38, 2596 (1988); S. Ciuchi, F. de Pasquale, P. Monachesi, B. Spagnolo, Physica Scripta T 25, 156 (1989)

    Article  ADS  Google Scholar 

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Fiasconaro, A., Valenti, D. & Spagnolo, B. Asymptotic regime in N random interacting species. Eur. Phys. J. B 50, 189–194 (2006). https://doi.org/10.1140/epjb/e2006-00058-4

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