Head of the Laboratory -
Dr. Sc. (Phys.-Math.), Professor A. I. Abakumov


Total - 11
Researchers - 8
Dr. Sc. - 2
PhD - 5

Main Research Directions

  • Research into the problems of the dynamics of living systems with active subsystems using mathematical modeling; the problems of optimization and control in the models of ecological processes.
  • Developing models of the dynamics of population numbers.
  • Modeling aquatic ecological systems; modeling the distribution of technogenic pollution, taking into account chaotic advection.

Principal Results

  • Research has been done into the dynamics of population numbers, taking into account the dynamics of genetic structure; solutions have been found for the problems of optimal harvest collection for populations and communities;
  • Studies have been made of the conformity of behavior of the biological types in a community of aquatic organisms, both with and without anthropogenic effect.

Representative Publications

  1. K. V. Koshel, Yu. G. Izrailski, D. V. Stepanov. Identification of the best frequency of external perturbation for chaotic transport, based on simple hydrodynamic models. Reports to the Russian Academy of Sciences, 2006, Vol. 405, No. 6, pp. 1-4.
  2. A. I. Abakumov, E. E. Giricheva. The pattern of age composition under the influence of the income structure. Survey of Applied and Industrial Mathematics, 2006, Vol. 13, No. 1, pp. 51-64.
  3. O. L. Zhdanova, E. Ya. Frisman. Dynamic systems in models of a single-locus, density dependant selection. Genetika, 2005, Vol. 41, No. 11, pp. 1575-1584.
  4. E. Ya. Frisman, E. V. Last. The dynamic instability of commercial populations with a pattern of age composition (based on salmon-type fish). Reports to the Russian Academy of Sciences, 2004, Vol. 394, No. 4, pp. 569-573.
  5. Yu.G. Izrailsky, K.V. Koshel, V.F. Kozlov, Some specific features of chaotization of the pulsating barotropic flow over elliptic and axisymmetric sea-mounts // Physics of Fluids, 2004, v. 16, No. 8, pp. 3173-3190.
  6. A. I. Abakumov. Mathematical modelling of population dynamics, taking into account the adaptive behaviour of individuals. Journal of General Biology, 2000, Vol. 61, No. 2, pp. 145-156.