Books and Edited Volumes

• Malchow, H., Petrovskii, S.V., Venturino, E. (2008) Spatiotemporal Patterns in Ecology and Epidemiology: Theory, Models, Simulations. Chapman & Hall / CRC Press, 443p.
• Petrovskii, S.V., Li, B.-L. (2006) Exactly Solvable Models of Biological Invasion. Chapman & Hall / CRC Press, 217p.
• Petrovskii, S.V., Malchow, H., eds. (2005) Biological Invasions in a Mathematical Perspective (A special issue of Biological Invasions: Proceedings of Computational and Mathematical Population Dynamics, Trento, June 21-25, 2004), Springer, 128p. (see the introduction here)

Selected Papers

1. Rodrigues, L.A.D., Mistro, D.C., Petrovskii, S.V. (2011) Pattern formation, long-term transients, and the Turing-Hopf bifurcation in a space- and time-discrete predator-prey system. Bulletin of Mathematical Biology, DOI 10.1007/s11538-010-9593-5
2. Hastings, A., Petrovskii, S.V., Morozov, A.Y. (2011) Spatial ecology across scales. Biology Letters 7, 163-165.
3. Banerjee, M., Petrovskii, S.V. (2011) Self-organised spatial patterns and chaos in a ratio-dependent predator-prey system. Theoretical Ecology 4, 37-53.
4. Petrovskii, S.V., Morozov, A.Y., Malchow, H., Sieber, M. (2010) Noise can prevent onset of chaos in population dynamics. European Physical Journal B 78, 253-264.
5. Petrovskii, S.V., McKay, K. (2010) Biological invasion and biological control: A case study of the gypsy moth spread. Aspects of Applied Biology 104, 37-48.
6. Petrovskaya, N.B., Petrovskii, S.V. (2010) The coarse-grid problem in ecological monitoring. Proc. R. Soc. A 466, 2933-2953.
7. Sieber, M., Malchow, H., Petrovskii, S.V. (2010) Noise-induced suppression of periodic travelling waves in oscillatory reaction–diffusion systems. Proc. R. Soc. A 466, 1903-1917.
8. Volpert, V., Petrovskii, S.V. (2009) Reaction–diffusion waves in biology. Physics of Life Reviews 6, 267–310.
9. Morozov, A.Y., Petrovskii, S.V. (2009) Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem. Bulletin of Mathematical Biology 71, 863-887.
10. Petrovskii, S.V., Morozov, A.Y. (2009) Dispersal in a statistically structured population: Fat tails revisited. American Naturalist 173, 278-289; also see Online Enhancements.
11. Petrovskii, S.V., Blackshaw, R.P., Li, B.-L. (2008) Persistence of structured populations with and without the Allee effect under adverse environmental conditions. Bulletin of Mathematical Biology 70, 412-437.
12. Petrovskii, S.V., Morozov, A.Y., Li, B.-L. (2008) On a possible origin of the fat-tailed dispersal in population dynamics. Ecological Complexity 5, 146-150.
13. Lutscher, F., Petrovskii, S.V. (2008) The importance of census times in discrete-time growth-dispersal models. Journal of Biological Dynamics 2, 55-63.
14. Morozov, A.Y., Petrovskii, S.V. Nezlin, N.P. (2007) Towards resolving the paradox of enrichment: The impact of zooplankton vertical migrations on plankton systems stability. Journal of Theoretical Biology 248, 501-511.
15. Blackshaw, R., Petrovskii, S.V. (2007). Limitation and regulation of ecological populations: a meta-analysis of Tipula paludosa field data. Mathematical Modelling of Natural Phenomena 2(4), 46-62.
16. Hilker, F.M., Langlais, M., Petrovskii, S.V., Malchow, H. (2007) A diffusive SI model with Allee effect and application to FIV. Mathematical Biosciences 206, 61-80.
17.  Morozov, A.Y., Petrovskii, S.V.,  Li, B.-L. (2006) Spatiotemporal complexity of the patchy invasion in a predator-prey system with the Allee effect. Journal of Theoretical Biology 238, 18-35.
18. Hilker, F.M., Malchow, H., Langlais, M., Petrovskii, S.V. (2006) Oscillations and waves in a virally infected plankton system. Part II: Transition from lysogeny to lysis. Ecological Complexity 3, 200-208.
19. Sarkar, R.R., Petrovskii, S.V., Biswas, M., Gupta, A., and Chattopadhyay, J. (2006) An ecological study of a marine plankton community based on the field data collected from Bay of Bengal. Ecological Modelling 193, 589-601.
20. Petrovskaya, N.B., Petrovskii, S.V., Li, B.-L. (2006) Biodiversity measures revisited. Ecological Complexity 3, 13-22.
21. Petrovskii, S.V., Malchow, H., Li B.-L. (2005) An exact solution of a diffusive predator-prey system. Proc. R. Soc. A 461, 1029-1053.
22. Petrovskii, S.V., Morozov, A.Y., Li, B.-L. (2005) Regimes of biological
    invasion in a predator-prey system with the Allee effect. Bulletin of Mathematical Biology 67, 637-661.
23. Petrovskii, S.V., Malchow, H., Hilker, F.M., Venturino, E. (2005) Patterns of patchy spread in deterministic and stochastic models of biological invasion and biological control. Biological Invasions 7, 771-793.
24. Morozov, A.Y., Nezlin, N.P., Petrovskii, S.V. (2005) Invasion of a top predator into epipelagic ecosystem can bring a paradoxical top-down trophic control. Biological Invasions 7, 845-861.
25. Malchow, H., Hilker, F.M., Petrovskii, S.V. (2004) Noise and
    productivity dependence of spatiotemporal pattern formation in a prey-predator system. Discrete and Continuous Dynamical Systems B 4, 707-713.
26. Petrovskii, S.V., Li, B.-L., Malchow, H. (2004) Transition to spatiotemporal chaos can resolve the paradox of enrichment. Ecological Complexity 1, 37-47.
27. Morozov, A.Y., Petrovskii, S.V., Li, B.-L. (2004). Bifurcations and chaos in a predator-prey system with the Allee effect. Proc. R. Soc. B 271, 1407-1414.
28. Malchow, H., Hilker, F.M., Petrovskii, S.V., Brauer, K. (2004) Oscillations and waves in a virally infected plankton system, I. The lysogenic stage. Ecological Complexity 1, 211-223.
29. Petrovskii, S.V., Blackshaw, R. (2003).  Behaviourally structured populations persist longer under harsh environmental conditions. Ecology Letters 6, 455-462.
30. Petrovskii, S.V., Li, B.-L., Malchow, H. (2003).  Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems. Bulletin of Mathematical Biology 65, 425-446.
31. Petrovskii, S.V., Li, B.-L. (2003). An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect. Mathematical Biosciences 186, 79-91.
32. Malchow, H., Petrovskii, S.V., Medvinsky, A.B. (2002) Numerical study of plankton-fish dynamics in a spatially structured and noisy environment. Ecological Modelling 149, 247-255.
33. Petrovskii, S.V., Morozov, A.Y., Venturino, E. (2002) Allee effect makes possible patchy invasion in a predator-prey system. Ecology Letters 5, 345-352.
34. Malchow, H., Petrovskii, S.V. (2002) Dynamical stabilization of an unstable equilibrium in chemical and biological systems. Mathematical and Computer Modelling 36, 307-319.
35. Medvinsky, A.B., Petrovskii, S.V., Tikhonova, I.A., Malchow, H., Li, B.-L. (2002). Spatiotemporal complexity of plankton and fish dynamics. SIAM Review 44, 311-370.
36. Petrovskii, S.V., Malchow, H. (2001).  Wave of chaos: new
    mechanism of pattern formation in spatio-temporal population dynamics. Theoretical Population Biology 59, 157-174.
37. Petrovskii, S.V., Kawasaki, K., Takasu, F., Shigesada, N. (2001) Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species. Japan Journal of Industrial and Applied Mathematics 18, 459-481.
38. Petrovskii, S.V., Shigesada, N. (2001). Some exact solutions of a
    generalized Fisher equation related to the problem of biological invasion. Mathematical Biosciences 172, 73-94.
39. Petrovskii, S.V., Malchow, H. (2001) Spatio-temporal chaos in an ecological community as a response to unfavorable environmental changes. Advances in Complex Systems 4, 227-250.
40. Petrovskii, S.V., Li, B.-L. (2001) Increased coupling between sub-populations in a spatially structured environment can lead to population outbreaks. Journal of Theoretical Biology 212, 549-562.
41. Petrovskii, S.V., Malchow, H. (2000) Critical phenomena in plankton
    communities: KISS model revisited.  Nonlinear Analysis: Real World Applications 1, 37-51.
42. Petrovskii, S.V. (1999) Plankton front waves accelerated by marine turbulence. Journal of Marine Systems 21, 179-188.
43. Petrovskii, S.V., Malchow, H. (1999)  A minimal model of pattern formation in a prey-predator system. Mathematical and Computer Modelling 29(8), 49-63.