Dr. Sergei V. Petrovskii

Professor
University of Leicester, UK

Highest Degree
Ph.D. in Theoretical Physics and Applied Mathematics from Moscow Engineering Physics Institute, Russia

My URL
https://livedna.org/712.16935

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Area of Interest:

Mathematics
Mathematical Modeling
Mathematics Applications
Theoretical Physics
Dynamical System

Selected Publications

  1. Zincenko, A. and S.V. Petrovskii, 2017. Dynamics of a two subpopulations system including immigration. Math. Modell. Nat. Phenom., 12: 46-57.
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  2. Volpert, V., S.V. Petrovskii and A. Zincenko, 2017. Interaction of human migration and wealth distribution. Nonlinear Anal., 159: 408-423.
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  3. Potts, J.R. and S.V. Petrovskii, 2017. Fortune favours the brave: movement responses shape demographic dynamics in strongly competing populations. J. Theor. Biol., 420: 190-199.
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  4. Petrovskii, S.V., Y. Sekerci and E. Venturino, 2017. Regime shifts and ecological catastrophes in a model of plankton-oxygen dynamics under the climate change. J. Theor. Biol., 424: 91-109.
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  5. Petrovskaya, N. and S.V. Petrovskii, 2017. Catching ghosts with a coarse net: use and abuse of spatial sampling data in detecting synchronization. J. R. Soc. Interface, 10.1098/rsif.2016.0855.
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  6. Forbes, E., M. Back, A. Brooks, N. Petrovskaya, S.V. Petrovskii, T. Pope and K.F.A. Walters, 2017. Sustainable management of slugs in commercial fields: assessing the potential for targeting control measures. Aspects Appl. Biol., 134: 89-96.

  7. Choules, J.D. and S.V. Petrovskii, 2017. Which random walk is faster? Methods to compare different step length distributions in individual animal movement. Math. Model. Nat. Phenom., 12: 22-45.
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  8. Tilles, P.F.C., S.V. Petrovskii and P.L. Natti, 2016. A random walk description of individual animal movement accounting for periods of rest. R. Soc. Open Sci., 10.1098/rsos.160566.
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  9. Tilles, P.F.C. and S.V. Petrovskii, 2016. How animals move along? Exactly solvable model of superdiffusive spread resulting from animals decision making. J. Math. Biol., 73: 227-255.
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  10. Petrovskii, S.V., 2016. Pattern, process, scale, and models sensitivity. Phys. Life Rev., 19: 131-134.
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  11. Morozov, A.Y., M. Banerjee and S.V. Petrovskii, 2016. Long-term transients and complex dynamics of a stage-structured population with time delay and the Allee effect. J. Theor. Biol., 396: 116-124.
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  12. Lewis, M.A., S.V. Petrovskii and J. Potts, 2016. The Mathematics Behind Biological Invasions. Springer, Switzerland, Pages: 362.
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  13. Jankovic, M., S.V. Petrovskii and M. Banerjee, 2016. Delay driven spatiotemporal chaos in single species population dynamics models. Theor. Popul. Biol., 110: 51-62.
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  14. Bearup, D., C.M. Benefer, S.V. Petrovskii and R. Blackshaw, 2016. Revisiting Brownian motion as a description of animal movement: a comparison to experimental movement data. Methods Ecol. Evol., 7: 1525-1537.
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  15. Alharbi, W.G. and S.V. Petrovskii, 2016. The impact of fragmented habitats size and shape on populations with Allee effect. Math. Model. Nat. Phenom., 11: 5-15.
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  16. Tilles, P.F.C. and S.V. Petrovskii, 2015. Statistical mechanics of animal movement: animals`s decision-making can result in superdiffusive spread. Ecol. Complexity, 22: 86-92.
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  17. Sekerci, Y. and S.V. Petrovskii, 2015. Mathematical modelling of spatiotemporal dynamics of oxygen in a plankton system. Math. Modell. Nat. Phenom., 10: 96-114.
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  18. Sekerci, Y. and S.V. Petrovskii, 2015. Mathematical modelling of plankton-oxygen dynamics under the climate change. Bull. Math. Biol., 77: 2325-2353.
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  19. Rodrigues, L.A.D., D.C. Mistro, E.R. Cara, N. Petrovskaya and S.V. Petrovskii, 2015. Patchy invasion of stage-structured alien species with short-distance and long- distance dispersal. Bull. Math. Biol., 77: 1583-1619.
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  20. Bearup, D., N. Petrovskaya and S.V. Petrovskii, 2015. Some analytical and numerical approaches to understanding trap counts resulting from pest insect immigration. Math. Biosci., 263: 143-160.
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  21. Bearup, D. and S.V. Petrovskii, 2015. On time scale invariance of random walks in bounded space. J. Theor. Biol., 367: 230-245.
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  22. Ahmed, D.A. and S.V. Petrovskii, 2015. Time dependent diffusion as a mean field counterpart of Levy type random walk. Math. Modell. Nat. Phenom., 10: 5-26.
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  23. Petrovskii, S.V., N. Petrovskaya and D. Bearup, 2014. Multiscale ecology of agroecosystems is an emerging research field that can provide a stronger theoretical background for the integrated pest management. Phys. Life Rev., 11: 536-539.
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  24. Petrovskii, S.V., N. Petrovskaya and D. Bearup, 2014. Multiscale approach to pest insect monitoring: Random walks, pattern formation, synchronization, and networks. Phys. Life Rev., 11: 467-525.
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  25. Jankovic, M. and S.V. Petrovskii, 2014. Are time delays always destabilizing? Re- visiting the role of time delays and the Allee effect. Theor. Ecol., 7: 335-349.
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  26. Venturino, E. and S.V. Petrovskii, 2013. Spatiotemporal behavior of a prey-predator system with a group defense for prey. Ecol. Complexity, 14: 37-47.
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  27. Morozov, A. and S.V. Petrovskii, 2013. Feeding on multiple sources: towards a universal parameterization of the functional response of a generalist predator allowing for switching. PLoS One, 10.1371/journal.pone.0074586.
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  28. Lewis, M.A., P. Maini and S.V. Petrovskii, 2013. Dispersal, Individual Movement, and Spatial Ecology: A Mathematical Perspective. Springer, Heidelberg, Pages: 385.
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  29. Jankovic, M. and S.V. Petrovskii, 2013. Gypsy moth invasion in North America: a simulation study of the spatial pattern and the rate of spread. Ecol. Complexity, 14: 132-144.
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  30. Bearup, D., S.V. Petrovskii, R. Blackshaw and A. Hastings, 2013. The impact of terrain and weather conditions on the metapopulation of Tipula paludosa in South- Western Scotland: linking pattern to process. Am. Naturalist, 182: 393-409.

  31. Rodrigues, L.A.D., D.C. Mistro and S.V. Petrovskii, 2012. Pattern formation in a space and time-discrete predator-prey system with a strong Allee effect. Theor. Ecol., 5: 341-362.
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  32. Petrovskii, S.V., D. Bearup, D.A. Ahmed and R. Blackshaw, 2012. Estimating insect population density from trap counts. Ecol. Complexity, 10: 69-82.
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  33. Petrovskii, S.V. and N.B. Petrovskaya, 2012. Computational ecology as an emerging science. Interface Focus, 2: 241-254.
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  34. Petrovskaya, N.B., S.V. Petrovskii and A.K. Murchie, 2012. Challenges of ecological monitoring: estimating population abundance from sparse trap counts. J. R. Soc. Interface, 9: 420-435.
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  35. Mistro, D.C., L.A.D. Rodrigues and S.V. Petrovskii, 2012. Spatiotemporal complexity of biological invasion in a space- and time-discrete predator-prey system with the strong Allee effect. Ecol. Complexity, 9: 16-32.
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  36. Jansen, V.A.A., A. Mashanova and S.V. Petrovskii, 2012. Comment on ``Levy walks evolve through interaction between movement and environmental complexity``. Sci., 335: 918-918.
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  37. Rodrigues, L.A.D., D.C. Mistro and S. Petrovskii, 2011. Pattern formation, long- term transients, and the Turing-Hopf bifurcation in a space and time-discrete predatorprey system. Bull. Math. Biol., 73: 1812-1840.
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  38. Petrovskii, S.V., A. Mashanova and V.A.A. Jansen, 2011. Variation in individual walking behavior creates the impression of a Levy flight. PNAS, 108: 8704-8707.
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  39. Hastings, A., S. Petrovskii and A. Morozov, 2011. Spatial ecology across scales. Biol. Lett., 7: 163-165.
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  40. Gorban, A. and S. Petrovskii, 2011. Collective dynamics: when one plus one does not make two. Math. Med. Biol., 28: 85-88.
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  41. Banerjee, M. and S.V. Petrovskii, 2011. Self-organised spatial patterns and chaos in a ratio-dependent predator-prey system. Theor. Ecol., 4: 37-53.
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  42. Petrovskii, S.V., A. Morozov, H. Malchow and M. Sieber, 2010. Noise can prevent onset of chaos in spatiotemporal population dynamics. Eur. Phys. J., 78: 253-264.
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  43. Petrovskii, S.V. and K. McKay, 2010. Biological invasion and biological control: A case study of the gypsy moth spread. Aspects Appl. Biol., 104: 37-48.
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  44. Volpert, V. and S.V. Petrovskii, 2009. Reaction-diffusion waves in biology. Phys. Life Rev., 6: 267-310.
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  45. Petrovskii, S.V. and A.Y. Morozov, 2009. Dispersal in a statistically structured population: Fat tails revisited. Am. Nat., 173: 278-289.
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  46. Morozov, A.Y. and S.V. Petrovskii, 2009. Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem. Bull. Math. Biol., 71: 863-887.
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  47. Petrovskii, S.V., R.P. Blackshaw and B.L. Li, 2008. Persistence of structured populations with and without the Allee effect under adverse environmental conditions. Bull. Math. Biol., 70: 412-437.

  48. Petrovskii, S.V., A.Y. Morozov and B.L. Li, 2008. On a possible origin of the fat-tailed dispersal in population dynamics. Ecol. Complexity, 5: 146-150.
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  49. Malchow, H., S.V. Petrovskii and E. Venturino, 2008. Spatiotemporal Patterns in Ecology and Epidemiology: Theory, Models, Simulations. CRC Press UK, Pages: 443.

  50. Malchow, H., F.M. Hilker, I. Siekmann, S.V. Petrovskii and A.B. Medvinsky, 2008. Mathematical models of pattern formation in planktonic predation-diffusion systems. In: Aspects of Mathematical Modelling. Hosking, R.J. and E. Venturino, (Ed.). Springer, Basel, pp 1-26.
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  51. Lutscher, F. and S.V. Petrovskii, 2008. The importance of census times in discrete- time growth-dispersal models. J. Biol. Dyn., 2: 55-63.
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  52. Korobeinokov, A. and S.V. Petrovskii, 2008. Toward a general theory of ecosys- tem stability: plankton-nutrient interaction as a paradigm. In: Aspects of Mathematical Modelling. Hosking, R.J. and E. Venturino, (Ed.). Springer, Basel, pp 27-39.
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  53. Morozov, A.Y., S.V. Petrovskii and N.P. Nezlin, 2007. Towards resolving the para- dox of enrichment: The impact of zooplankton vertical migrations on plankton systems stability. J. Theor. Biol., 248: 501-511.
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  54. Hilker, F.M., M. Langlais, S.V. Petrovskii and H. Malchow, 2007. A diffusive SI model with Allee effect and application to FIV. Math. Biosci., 206: 61-80.
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  55. Blackshaw, R. and S.V. Petrovskii, 2007. Limitation and regulation of ecological populations: a meta-analysis of Tipula paludosa field data. Math. Modell. Nat. Phenom., 2: 46-62.
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  56. Sarkar, R.R., S.V. Petrovskii, M. Biswas, A. Gupta and J. Chattopadhyay, 2006. An ecological study of a marine plankton community based on the field data collected from Bay of Bengal. Ecol. Modell., 193: 589-601.
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  57. Petrovskii, S.V. and B.L. Li, 2006. Exactly Solvable Models of Biological Invasion. CRC Press New York, Pages: 217.

  58. Petrovskaya, N.B., S.V. Petrovskii and B.L. Li, 2006. Biodiversity measures revisited. Ecol. Complexity, 3: 13-22.
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  59. Morozov, A.Y., S.V. Petrovskii and B.L. Li, 2006. Spatiotemporal complexity of the patchy invasion in a predator-prey system with the Allee effect. J. Theor. Biol., 238: 18-35.
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  60. Hilker, F.M., H. Malchow, M. Langlais and S.V. Petrovskii, 2006. Oscillations and waves in a virally infected plankton system. Part II: Transition from lysogeny to lysis. Ecol. Complexity, 3: 200-208.
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  61. Petrovskii, S.V., H. Malchow, F.M. Hilker and E. Venturino, 2005. Patterns of patchy spread in deterministic and stochastic models of biological invasion and biological control. Biol. Invasions, 7: 771-793.
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  62. Petrovskii, S.V., A.Y. Morozov and B.L. Li, 2005. Regimes of biological invasion in a predator-prey system with the Allee effect. Bull. Math. Biol., 67: 637-661.
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  63. Morozov, A.Y., N.P. Nezlin and S.V. Petrovskii, 2005. Invasion of a top predator into epipelagic ecosystem can bring a paradoxical top-down trophic control. Biol. Invasions, 7: 845-861.
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  64. Petrovskii, S.V., B.L. Li and H. Malchow, 2004. Transition to spatiotemporal chaos can resolve the paradox of enrichment. Ecol. Complexity, 1: 37-47.
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  65. Malchow, H., F.M. Hilker, S.V. Petrovskii and K. Brauer, 2004. Oscillations and waves in a virally infected plankton system, I. The lysogenic stage. Ecol. Complexity, 1: 211-223.
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  66. Malchow, H., F.M. Hilker and S.V. Petrovskii, 2004. Noise and productivity dependence of spatiotemporal pattern formation in a prey-predator system. Discrete Continuous Dyn. Syst., 4: 705-711.
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  67. Petrovskii, S.V., B.L. Li and H. Malchow, 2003. Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems. Bull. Math. Biol., 65: 425-446.
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  68. Petrovskii, S.V. and R. Blackshaw, 2003. Behaviourally structured populations persist longer under harsh environmental conditions. Ecol. Lett., 6: 455-462.
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  69. Petrovskii, S.V. and B.L. Li, 2003. An exactly solvable model of population dy- namics with density-dependent migrations and the Allee effect. Math. Biosci., 186: 79-91.
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  70. Malchow, H., S.V. Petrovskii and M.Hilker, 2003. Models of spatiotemporal pattern formation in plankton dynamics. Nova Acta Leopold., 88: 325-340.

  71. Malchow, H., A.B. Medvinsky and S.V. Petrovskii, 2003. Patterns in models of plankton dynamics in a heterogeneous environment. In: Handbook of Scaling Methods in Ecology. Strutton, P.G. and L. Seuront, (Ed.). CRC Press, Paris, pp 401-410.
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  72. Petrovskii, S.V., M.E. Vinogradov and A.Y. Morozov, 2002. Spatio-temporal horizontal plankton patterns caused by biological invasion in a two-species model of plankton dynamics allowing for the Allee effect. Oceanol., 42: 384-393.

  73. Petrovskii, S.V., A.Y. Morozov and E. Venturino, 2002. Allee effect makes possible patchy invasion in a predator-prey system. Ecol. Lett., 5: 345-352.
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  74. Medvinsky, A.B., S.V. Petrovskii, I.A. Tikhonova, H. Malchow and B.L. Li, 2002. Spatiotemporal complexity of plankton and fish dynamics. SIAM Rev., 44: 311-370.
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  75. Medvinsky, A.B., S.V. Petrovskii, I.A. Tikhonova, D.A. Tikhonov and B.L. Li et al., 2002. Spatio-temporal pattern formation, fractals and chaos in conceptual ecological models as applied to coupled plankton-fish dynamics. Int. At. Energy Agency, 45: 27-57.
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  76. Medvinsky, A.B., I.A. Tikhonova, S.V. Petrovskii, H. Malchow and E. Venturino, 2002. Chaos and order in plankton dynamics: Complex behavior of a simple model. Zh Obshchey Biol., 63: 149-158.
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  77. Malchow, H., S.V. Petrovskii and A.B. Medvinsky, 2002. Numerical study of plankton-fish dynamics in a spatially structured and noisy environment. Ecol. Modell., 149: 247-255.
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  78. Malchow, H. and S.V. Petrovskii, 2002. Dynamical stabilization of an unstable equilibrium in chemical and biological systems. 2002 36: 307-319.
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  79. Petrovskii, S.V., K. Kawasaki, F. Takasu and N. Shigesada, 2001. Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species. Jpn. J. Ind. Appl. Math., 18: 459-481.
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  80. Petrovskii, S.V. and N. Shigesada, 2001. Some exact solutions of a generalized Fisher equation related to the problem of biological invasion. Math. Biosci., 172: 73-94.
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  81. Petrovskii, S.V. and H. Malchow, 2001. Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics. Theor. Population Biol., 59: 157-174.
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  82. Petrovskii, S.V. and H. Malchow, 2001. Spatio-temporal chaos in an ecological community as a response to unfavorable environmental changes. Adv. Complex Syst., 4: 227-250.

  83. Petrovskii, S.V. and B.L. Li, 2001. Increased coupling between sub-populations in a spatially structured environment can lead to population outbreaks. J. Theor. Biol., 212: 549-562.
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  84. Medvinsky, A.B., S.V. Petrovskii, I.A. Tikhonova, E. Venturino and H. Malchow, 2001. Chaos and regular dynamics in model multi-habitat plankton-fish communities. J. Biophys., 26: 109-120.
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  85. Medvinsky, A.B., S.V. Petrovskii, D.A. Tikhonov, I.A. Tikhonova, G.R. Ivanitsky, E. Venturino and H. Malchow, 2001. Biological factors underlying regularity and chaos in aquatic ecosystems: simple models of complex dynamics. J. Biophys., 26: 77-108.
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  86. Medvinsky, A.B., I.A. Tikhonova, S.V. Petrovskii, H. Malchow and E. Venturino, 2001. Chaos and order in spatially structured plankton dynamics. A theoretical study. In: Nonlinear Dynamics in the Life and Social Sciences. Sulis, W. and I. Trofimova, (Ed.). IOS Press, Amsterdam, pp 383-397.

  87. Malchow, H., S.V. Petrovskii and A.B. Medvinsky, 2001. Pattern formation in models of plankton dynamics. A synthesis. Oceanolog. Acta, 24: 479-487.
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  88. Petrovskii, S.V. and H. Malchow, 2000. Critical phenomena in plankton communities: KISS model revisited. Nonlinear Anal. Real World Appli., 1: 37-51.

  89. Morozov, A.Y. and S.V. Petrovskii, 2000. Mathematical modelling of the initial stage of a ``red tide`` accounting for the joint effect of various factors. Oceanol., 40: 356-362.

  90. Malchow, H., B. Radtke, M. Kallache, A.B. Medvinsky, D.A. Tikhonov and S.V. Petrovskii, 2000. Spatio-temporal pattern formation in coupled models of plankton dynamics and fish school motion. Nonlinear Anal. Real World Appli., 1: 53-67.
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