LABORATORY OF MATHEMATICAL MODELLING OF ECOLOGICAL SYSTEMS
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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.