Professor in Applied Mathematics
I am a mathematician with 25 years of experience in modelling of natural phenomena. For the last 20 years my research has been focused on nonlinear dynamics, dynamical systems' application to ecology and ecological complexity. I published two books (research monographs), a few conference proceedings, and 80+ papers in peer-reviewed journals. I have co-managed several research projects supported by various national and international foundations. I am the Editor-in-Chief of Ecological Complexity. I was a (co)organizer and/or invited speaker for several international conferences.
- diffusion-reaction models of population dynamics:
- mechanisms of spatiotemporal self-organization in a system of interacting species, pattern formation and chaos, effects of stochastisity and noise, diffusion-reaction systems on a lattice
- nonlinear waves and biological invasion:
- travelling population waves, biological/physical factors affecting the wave speed, patterns of species dispersal different from travelling fronts, interplay between different mechanisms of species spread, exactly solvable diffusion-reaction models
- ecological complexity:
- nonlinear phenomena in population dynamics, bifurcations and chaos, factors enhancing/hampering chaotic dynamics in ecological communities
- individual movement and random walk:
- models of individual animal movement
- ecology & environment:
- coupling between biological and environmental processes, interplay between processes acting on different spatial and temporal scales, mathematical modelling of self-organized plankton patterns in turbulent environment
Conferences, workshops, working groups
Models in Population Dynamics and Ecology 2015: Bringing Together Ecology, Epidemiology and Evolution (Niteroi, Rio de Janeiro, August 24-28, 2015)
MBI Workshop: Uncertainty, Sensitivity and Predictability in Ecology - Mathematical Challenges and Ecological Applications (Columbus, USA, October 26-30, 2015)
NIMBioS Working Group: Dispersal Biogeography (Knoxville, May 11-14, 2015)
Lewis, M.A., Maini, P.K., Petrovskii, S.V., Eds. (2013) Springer, Lecture Notes in Mathematics Vol. 2071. See the Preface and the Table of Contents.
Malchow, H., Petrovskii, S.V., Venturino, E. (2008) Spatiotemporal Patterns in Ecology and Epidemiology: Theory, Models, Simulations. Chapman & Hall / CRC Press, 443p. Full text can be downloaded here: pages i-196, pages 197-443.
Some recent papers
Bearup, D., and Petrovskii, S.V. (2015) On time scale invariance of random walks in bounded space. J. Theor. Biol. 367, 230-245.
Tilles, P.F.C, and Petrovskii, S.V. (2015) Statistical mechanics of animal movement: Animals's decision-making can result in superdiffusive spread. Ecological Complexity 22, 86-92.
Petrovskii, S.V., Petrovskaya, N.B., and Bearup, D. (2014) Multiscale approach to pest insect monitoring: Random walks, pattern formation, synchronization, and networks. Physics of Life Reviews 11, 467-525.
Bearup, D., Petrovskii, S.V., Blackshaw, R., and Hastings, A. (2013) The impact of terrain and weather conditions on the metapopulation of Tipula paludosa in South-Western Scotland: linking pattern to process. American Naturalist 182, 393-409.
Kawai, R., and Petrovskii, S.V. (2012) Multiscale properties of random walk models of animal movement: Lessons from statistical inference. Proceedings of Royal Society A 468, 1428-1451.
Petrovskii, S.V., and Petrovskaya, N.B. (2012) Computational ecology as an emerging science. Interface Focus 2, 241-254.
Jansen, V.A.A., Mashanova, A., Petrovskii, S.V. (2012) Why mussels do not do a Levy walk: Comments on "Levy walks evolve through interaction between movement and environmental complexity." Science 335, 918.
Petrovskii, S.V., Mashanova, A., and Jansen, V.A.A. (2011) Variation in individual walking behavior creates the impression of a Levy flight. PNAS 108, 8704-8707.
Petrovskii, S.V. and Morozov, A.Y. (2009) Dispersal in a statistically structured population: Fat tails revisited. American Naturalist 173, 278-289. (Online enhancement)
Volpert, V., and Petrovskii, S.V. (2009) Reaction-diffusion waves in biology. Physics of Life Reviews 6, 267–310.
For an extended list of publications, please use the link here (or just use the "More Publications" button in the top left corner of the page).
For a citation report, see my Google Scholar profile.
For an overview of the citation data across the Department of Mathematics as a whole, click here.
Department of Mathematics, University of Leicester
University Road, Leicester, LE1 7RH, United Kingdom
Phone: +44 116 252 3916
Fax: +44 116 252 3915
Last updated: August 28, 2015