Skip to main content
Log in

A mathematical model of the invasion of mysid (Mysidacea) into Narochan Lakes

  • Complex Systems Biophysics
  • Published:
Biophysics Aims and scope Submit manuscript

Abstract

We present a mathematical model of the invasion of mysid into the Narochan Lakes system. The model is parameterized with the use of field observation data. We show that the mysid invasion can lead to an increase in the time-averaged fish population size, and to a decrease in the time-averaged rotifer population size.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Biological Invasions in Aquatic and Land Ecosystems, Ed. by A. F. Alimov and N. G. Bogutskaya (KMK, Moscow, SPb, 2004) [in Russian].

    Google Scholar 

  2. Ya. I. Starobogatov, Fauna of Mollusks and Zoogeographical Regioning of Reservoirs of the Globe (Nauka, Leningrad, 1970) [in Russian].

    Google Scholar 

  3. Chaos in Real Data. The Analysis of Nonlinear Dynamics from Short Ecological Time Series, Ed. by J. N. Perry, R. H. Smith, I. P. Woiwod, D. R. Morse (Kluwer, Dordrecht, 2000).

    Google Scholar 

  4. R. Hengeveld, Dynamics of Biological Invasions (Chapman & Hall, London, 1989).

    Google Scholar 

  5. C. W. Ramcharan, D. K. Padilla, and S. I. Dodson, Canadian J. Fisheries Aquatic Sci. 49, 2611 (1992).

    Article  Google Scholar 

  6. A. Ricciardi and J. B. Rassmussen, Canadian J. Fisheries Aquatic Sci. 55, 1759 (1998).

    Article  Google Scholar 

  7. K. R. Hayes, Biol. Invasions 4, 235 (2002).

    Article  Google Scholar 

  8. K. R. Hayes, Biol. Invasions 4, 251 (2002).

    Article  Google Scholar 

  9. C. L. Hewitt and G.R. Huxel, Biol. Invasions 4, 263 (2002).

    Article  Google Scholar 

  10. D. E. Marco, S. A. Raez, and S. A. Cannas, Biol. Invasions 4, 193 (2002).

    Article  Google Scholar 

  11. A. B. Medvinsky, A. Y. Morozov, V. V. Velkov, et al., J. Theor. Biol. 231, 121 (2004).

    Article  Google Scholar 

  12. A. B. Medvinsky, M. M. Gonik, F. S. Berezovskaya, et al., Biol. Invasions 7, 877 (2005).

    Article  Google Scholar 

  13. A. B. Medvinsky, M. M. Gonik, V. V. Velkov, et al., Natur. Res. Modeling 18, 347 (2005).

    Article  MATH  MathSciNet  Google Scholar 

  14. A. B. Medvinsky, M. M. Gonik, B.-L. Li, et al., J. Theor. Biol. 242, 539 (2006).

    Article  MathSciNet  Google Scholar 

  15. M. M. Gonik, A. E. Bobyrev, V. A. Burmenskii, et al., Biofizika 52, 760 (2007) [Biophysics 52, 445].

    Google Scholar 

  16. A. B. Medvinsky, Nonlinear Dynamics, Psychology, and Life Sciences 13, 311 (2009).

    MathSciNet  Google Scholar 

  17. Invasive Alien Species: A Toolkit of Best Prevention and Management Practices, Ed. by R. Wittenberg, M. J. W. Cock (CAB International, Wallingford, Oxon, 2001).

    Google Scholar 

  18. C. S. Kolar and D. M. Lodge, Science 298, 1233 (2002).

    Article  ADS  Google Scholar 

  19. C. S. Kolar and D. M. Lodge, Trends in Ecology & Evolution 16, 199 (2001).

    Article  Google Scholar 

  20. H. G. McIsaac, I. A. Grigorovich, and A. Riccardi, Biol. Invasions 3, 405 (2001).

    Article  Google Scholar 

  21. A. B. Medvinsky, S. V. Petrovskii, I. A. Tikhonova, et al., SIAM Rev. 44, 311 (2002).

    Article  MATH  MathSciNet  Google Scholar 

  22. A. J. Lotka, Elements of Physical Biology (Williams and Wilkins, Baltimore, 1925).

    MATH  Google Scholar 

  23. V. Volterra, Nature 118, 558 (1926).

    Article  MATH  ADS  Google Scholar 

  24. A. N. Kolmogorov, I. G. Petrovsky, and N. S. Piskunov, Byul. MGU, section A 1, 1 (1937).

    Google Scholar 

  25. Yu. M. Svirezhev, Nonlinear Waves, Dissipative Structures and Ctastrophes in Ecology (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  26. I. Hanski, Metapopulation Ecology (Oxford University, Oxford, 1999).

    Google Scholar 

  27. A. D. Bazykin, Nonlinear Dynamics of Interacting Populations (Inst. Comput. Res., Moscow, Izhevsk, 2003) [in Russian].

    Google Scholar 

  28. A. F. Karpevich, Zool. Zh. 37, 1121 (1958).

    Google Scholar 

  29. E. L. Galaktionova and E. A. Binting, Byul. MOIP 2, 153 (1964).

    Google Scholar 

  30. T. A. Kortunova, Acclimation of Fishes and Invertebrates in Reservoirs of the USSR (Nauka, Moscow, 1968) [in Russian].

    Google Scholar 

  31. J. Lesutiene, Z. Gasiunaite, and E. Griniene, Acta Zool. Lituanica 15, 312 (2005).

    Google Scholar 

  32. J. J. Polovina, Coral Reefs 3, 1 (1984).

    Article  ADS  Google Scholar 

  33. E. A. Kriksunov, A. E. Bobyrev, and V. A. Burmenskii, Zh. Obshch. Biol. 71(5), 436 (2010).

    Google Scholar 

  34. V. G. Kostousov and I. I. Onoshko, in Proc. Internat. Sci. Conf. «Lake Ecosystems» (Minsk, 1999), p. 181.

  35. Life of Animals, Ed. by N. A. Gladkov, A. V. Mikheev (Prosveshchenie, Moscow, 1970) [in Russian].

    Google Scholar 

  36. K. Lorenzen, J. Fish Biol. 49, 627 (1996).

    Article  Google Scholar 

  37. Bulletin of the Ecological State of Lakes natoch, Myastro, Batorino (Year of 2000) (BGU, Minsk, 2003) [in Russian].

  38. G. V. Nikolskii, Fish Ecology (Vyshshaya Shkola, Moscow, 1963) [in Russian].

    Google Scholar 

  39. T. Nogrady, R. L. Wallace, and T. W. Snell, Rotifera (SPB Academic Publishing, The Hague, 1993).

    Google Scholar 

  40. T. W. Snell and M. Serra, Hydrobiologia 368, 29 (1998).

    Article  Google Scholar 

  41. F. Berezovskaya, G. Karev, and T. W. Snell, Ecol. Complexity 2, 395 (2005).

    Article  Google Scholar 

  42. A. G. Rogozin, Izv. Chelyabinsk. Nauch. Tsentra 3(33), 78 (2006).

    Google Scholar 

  43. A. P. Ostapenya, Lake Ecosystems: Biological Processes, Anthropogenic Transformation, Water Quality (BGU, Minsk, 2000) [in Russian].

    Google Scholar 

  44. A. B. Medvinsky, M. M. Gonik, A. V. Rusakov, and H. Malchow, Mathematical Modelling of Natural Phenomena 3, 103 (2008).

    Article  MathSciNet  Google Scholar 

  45. A. B. Medvinsky, Biofizika 51, 1033 (2006) [Biophysics 51, 908 (2006)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. B. Medvinsky.

Additional information

Original Russian Text © A.E. Bobyrev, V.A. Burmensky, E.A. Kriksunov, A.B. Medvinsky, N.I. Nurieva, A.V. Rusakov, G. Allasiae, E. Venturino, 2010, published in Biofizika, 2010, Vol. 55, No. 6, pp. 1138–1146.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bobyrev, A.E., Burmensky, V.A., Kriksunov, E.A. et al. A mathematical model of the invasion of mysid (Mysidacea) into Narochan Lakes. BIOPHYSICS 55, 1030–1037 (2010). https://doi.org/10.1134/S0006350910060242

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0006350910060242

Keywords

Navigation