Mathematical Ecology

Mathematical Ecology research in Leicester covers a broad spectrum of topics ranging from fundamental problems of theoretical ecology to practical agricultural applications. Of particular interest are the issues of ecosystem's complexity (e.g. chaos, pattern formation and synchronization phenomena), biological invasion (including analysis of individual animal movement as well as a broader focus on dispersal), evolutionary ecology and adaptive dynamics.

Current  members

 

Some recent publications

  1. Jankovic M, Petrovskii S, Banerjee M. Delay driven spatiotemporal chaos in single species population dynamics models. Theoretical population biology. 2016 Aug 31;110:51-62.
  2. Tilles PF, Petrovskii SV. How animals move along? Exactly solvable model of superdiffusive spread resulting from animal’s decision making. Journal of mathematical biology. 2016 Jul 1;73(1):227-55.
  3. Morozov AY, Banerjee M, Petrovskii SV. Long-term transients and complex dynamics of a stage-structured population with time delay and the Allee effect. Journal of theoretical biology. 2016 May 7;396:116-24.
  4. Adamson MW, Morozov AY, Kuzenkov OA. Quantifying uncertainty in partially specified biological models: how can optimal control theory help us?. InProc. R. Soc. A 2016 Sep 1 (Vol. 472, No. 2193, p. 20150627). The Royal Society.
  5. Morozov AY, Kuzenkov OA. Towards developing a general framework for modelling vertical migration in zooplankton. Journal of theoretical biology. 2016 Sep 21;405:17-28.
  6. A.N. Gorban, T.A. Tyukina, E.V. Smirnova, L.I. Pokidysheva, Evolution of adaptation mechanisms: Adaptation energy, stress, and oscillating death, Journal of Theoretical Biology 405 (2016), 127-139.
  7. Egilmez HI, Morozov AY. Tri-trophic Plankton Models Revised: Importance of Space, Food Web Structure and Functional Response Parametrisation. Mathematical Modelling of Natural Phenomena. 2016;11(4):16-33.
  8. Bearup, D.,  Petrovskaya, N.,  Petrovskii, S. (2015), Some analytical and numerical approaches to understanding trap counts resulting from pest insect immigration, Mathematical biosciences 263, 143-160.
  9. Bearup, D., Petrovskii, S., (2015) On time scale invariance of random walks in confined space, Journal of theoretical biology 367, 230-245.
  10.  Adamson, M.W., Morozov, A.Y. (2014) Defining and detecting structural sensitivity in biological models: developing a new framework, Journal of mathematical biology 69 (6-7), 1815-1848.
  11. 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 (3), 467-525.
  12. Adamson, M.W.,.Morozov, A.Y. (2014) Bifurcation Analysis of Models with Uncertain Function Specification: How Should We Proceed? Bulletin of Mathematical Biology 76 (5), 1218-1240.
  13. 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.
  14. Adamson, M.W., and Morozov, A. (2013) When can we trust our model predictions? Unearthing structural sensitivity in biological systems. Proc. R. Soc. A 469, 20120500.
  15. Morozov, A., and Petrovskii, S.V. (2013) Feeding on multiple sources: Towards a universal parameterization of the functional response of a generalist predator allowing for switching. PLoS One 8(9), e74586.
  16. Lewis, M.A., Maini, P.K., Petrovskii, S.V. (eds.) (2013) Dispersal, Individual Movement and Spatial Ecology: A Mathematical Perspective. Springer, Lecture Notes in Mathematics Vol. 2071.
  17. Petrovskii, S.V., and Petrovskaya, N.B. (2012) Computational ecology as an emerging science. Interface Focus 2, 241-254.
  18. Petrovskaya, N.B., Petrovskii, S.V., and Murchie, A.K. (2012) Challenges of ecological monitoring: estimating population abundance from sparse trap counts. J. R. Soc. Interface 9, 420-435.
  19. Gorban, A.N., Pokidysheva,  L.I., Smirnova, E,V., Tyukina, T.A. (2011) Law of the Minimum Paradoxes. Bull. Math. Biol. 73(9), 2013-2044.
  20. Morozov, A., and Adamson, M.W. (2011) Evolution of virulence driven by predator–prey interaction: Possible consequences for population dynamics. J. Theor. Biol. 276, 181-191.
  21. 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.
  22. Petrovskii, S.V. and Morozov, A.Y. (2009) Dispersal in a statistically structured population: Fat tails revisited. American Naturalist 173, 278-289.
  23. Malchow, H., Petrovskii, S.V., Venturino, E. (2008) Spatiotemporal Patterns in Ecology and Epidemiology: Theory, Models, Simulations. Chapman & Hall / CRC Press, 443 pp.

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Department of Mathematics
University of Leicester
University Road
Leicester LE1 7RH
United Kingdom

Tel.: +44 (0)116 252 3917
Fax: +44 (0)116 252 3915

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