MARTIAL STATUS:
married to G. P.Karev;
son, Kirill Medvinsky, born 1975
daughter, Irina Kareva, born 1986

  WORK ADDRESS:
Center of Forest Ecology and Productivity of Russian Academy of Sciences
 Novocheremushkinskaya str.69, Moscow 117418, Russia.
 Email: fsberezo@hotmail.com

• Dr. Sci.(Mathematics in Ecology), 1997, Moscow Physics and Technology Institute (Fiztech) Thesis title: "Bifurcations in ecosystem models".
• Ph.D.(Differential equations), 1978, The Institute of Mathematics, Ukrainian Academy of Science, Kiev, Ukraine
• Thesis title: "Analysis of complicated singular points by methods of the Newton diagram".
• Graduate studies 1970-1973, Research Computer Center at the Biological Center of Academy of Sciences of the USSR (Pushchino, Moscow Reg.);
• MS (Applied Mathematics) 1970, The Rostov-Don State University, Department of Mathematics and Mechanics,
• Thesis title: Analysis of mathematical models of glycolitical ferment system.
• Member of American Mathematical Society (AMS): 1993 - current
• Reviewer of "Mathematical Review" (Math. Biology): 1992 - current
• Member-organizer of Society ⌠Women-mathematicians of Russia■ 1993- current

• 1992 - current: Leading Research Scientist, Laboratory of Mathematical Modeling of Forest Ecosystems, The Center of Forest Ecology and Productivity, Rus Ac. Sci.
• 1999 - November-December: Visiting Professor, the Institute of Biology, Humboldt University of Berlin, Germany;
• 1995 - June-July: Visiting Professor, Nonlinear Research, Mathematics Department of the Limburg University, Belgium 1990-1992;
• 1990-1992, Senior Research Scientist, Monitoring Laboratory of USSR Research Information Center for Forest Resources, Moscow,
• 1981-1990, Senior Research Scientist, Moscow Institute of Transport Engineering, 1973-1981, Junior Research Scientist, Laboratory of Mathematical Modeling in Biology, The Biological Center of Academy of Sciences of the USSR (Pushchino, Moscow Reg.)

1. DAAD (Germany Academic Cooperation) grant for teach and research purposes, 1999.
2. INTAS Project "Forest Models for Sustainable Forest Management (FORMOD)", 1999.
3. CRDF Project RM-1-229 "Analysis of nonlinearities by qualitative methods of singularity and bifurcation theories", 1996-1998.
4. Travel Grant of London Mathematical Community, 1998.

1. Complex ecological-mathematical modeling of dynamics of forest insect populations under conditions of global environment changes, grant N 99-04-00234.
2. Methods of analytical and numerical research of critical regimes in models of ecosystem dynamics, grant N 98-01-00483, 1998- current.
3. School of Academician A. Isaev, grant N 98-04-49450 - current.
4. Origins of insect-pest mass outbreaks on boreal forests under global climate changes, grant N 96-04-48340, 1996-1998.
5. Factors of ecological diversity in boreal forests of European part of Russia and Siberia, grant N 93-04-20941,
6. 1993-1996.6. ⌠Problems of Global Changes of Environment and Climate■- The State Sci. Program N18, 1994.

• 1997-2000: Professor of Mathematics in Moscow Institute of Radio-electronics and Automatics (MIREA);
• 1993- 1999: Teaching of Special Topic Course "Analytical mathematical models in Biology" Moscow Physics and Technology Institute;
• 1981-1990, 1992-1997: Teaching Mathematics, Computing, Analytical Geometry, Calculus in Moscow Institute of Transport Engineering.

1. Using methods of qualitative and bifurcation theory for analyzing mathematical models in Ecology and constructing new ones

Particularly:

Studies of the Alle'effect, peculiarities of steady equilibrium-oscillatory coexistence of predator-prey populations within the frame of the Volterra-Lotka's model (together with A.Bazykin).

Developing computer system POPULBIF able to perform sequential bifurcation analysis of series of "prey-predator" models (Mathecology and Biophysics major).

Developing the three-parameter model, the "Universal excited element", implementing all principal modes together with transiting ones depending on choice of parameters (together with A.Bazykin).

Demonstration that the five-parameter model describes all principal types of forest insect dynamics known to forest ecologists (A.Bazykin, A.Isaev, R.Khlebopros, A.Berryman).

Studies of "traveling waves" regimes: fronts, impulses and trains, in models "growth-taxis-diffusion and/or cross-diffusion" (together with G.Karev).

The developed approach are applied for spatial modeling of outbreaks in plancton communities and insect populations. On basis of this approach the series of models were developed which demonstrate spatial peculiarities of forest insect dynamics.
 
 

2. Problems of qualitative theory of and theory of bifurcations in ODE

Applications of ⌠normal form■ approach for analysis of existence and description of bifurcations of "traveling waves" solutions of "reaction-diffusion -cross-diffusion" equations (together with G. Karev).

Developing the Newton diagram associated methods  for analysis of complex singular points of ODE system on a plane (case of monodromic point had studied together with N. Medvedeva);

Solving the problem "loss of stability of self-oscillations close to resonance 1:4" stated by Academician Vladimir Arnold (together with A. Khibnik);

Complete study of the Emden-Fowler equation intensively used in astrophysics and nuclear physics.

3. Some research was also done on

using the fractal approach for the tree crown modeling,

developing the reference system of forest community models,

developing algorithms estimating stability of engineering devices,

developing the software program package for teaching Engineering majors (statistical analysis and curve fitting of given numerical relationships, computer algebra models for solving algebraic and differential equations) .

Monographies:

1.Berezovskaya F.S., Karev G.P. Manual ⌠Differential Equations and Mathematical models■, Moscow, MIREA, 140 pp.(2000).

Reviews:

1.Antonovsky M.Ya., Berezovskaya F.S., Karev G.P., Shvidenko A.Z., Shugart H.H. (1991). Ecophysiological models of forest stand dynamics. WP-91-36.IIASA, Laxemburg, Austria. 97 p.
 

Peer refereed articles:

2. Berezovskaya F.S., Karev G.P. (1999) Bifurcations of traveling waves in population models with taxis. Physics-Uspekhi, v.169 , trans. from Uspekhi fizicheskikh nayk, v.169, 9, 1999, 1011-1024.

3. Berezovskaya F.S., Karev G.P.(1999) Traveling waves in polynomial population models. Doklady Mathematics, v.60, 2,pp.295-299.

4.Berezovskaya F.S., Isaev A.S., Karev G.P. Khlebopros R.G. (1999) Role of taxis in forest insect dynamics. Doklady Biological Sci. v.365, 148-151.

5.Bazykin A.D., Berezovskaya F.S., Isaev A.S., Khlebopros R.G. (1997) Dynamics of forest insect density: bifurcation approach. J.Theor. Biol, 186, 267-278.

6.Berezovskaya F.S., Karev G.P., Kisliuk O.S., Khlebopros R.G., Tcelniker Yu.L. (1997)  Fractal approach to computer-analytical modeling of tree crown. J.Trees , v.11, 323-327.

7. Berezovskaya F.S. (1996) Stereotypes of dynamics of ecological systems. In: Shnol ed. Studies in mathematical biology. In memorial of Alexander D. Bazykin. Puschino, 49-61 (Russ.)

8. Bazykin A.D., Berezovskaya F.S. (1995) Mathematical model of universal element of an active Medium. Doclady mathematics, v. 52,3, 462-465.

9.Berezovskaya, F.S.( 1995)  The main topological part of plane vector fields with fixed Newton diagram. In: Le, Saito & Teissier Ed-s.Singularity Theory. Word Scientific, 55-73.

10.Berezovskaya F.S., Khibnik A.I. (1994) On the problem of bifurcations of self-oscillations close to a 1:4 resonance. Selecta
Mathematica formely Sovietica, v.13, No2, 197-215.

11.Berezovskaya F., Medvedeva N. (1994)  Asymptotic of monodromy map for complicated singular point. Selecta Mathematica formely Sovietica, v.13, No1, 1-15.

12.Berezovskaya F.S., Karev G.P., Shvidenko A.Z., Janson N.D. (1994) Reference -Informational System "Bank Eco-physiological models of plant communities". Lesovedenie 1, , 32-36. (Russ.)

13.Bazykin A.D., Berezovskaya F.S., Isaev A.S., Khlebopros R.G.(1993)  Parametric substitution of stability principle of system "phytophage-entomophage" dynamics. Doklady Biological Sci trans. from , Doklady Acad.Sci 333(5), 673-675.

14.Berezovskaya F.S., Khibnik A.I. (1985) Bifurcations of dynamical system of 2-nd order with two zero eighenvalues and
degeneration. In: Gaponov-Grekhov ed. Methods of qualitative theory of differential equations, Gorki, 128-138.( Russ.)

15.Bazykin A.D., Berezovskaya F.S., Denisov, G.A., Kuznetsov Yu.A. (1981)  The influence of a predator saturation effect and competition among predators on a predator-prey system dynamics. J.Ecol. Modeling,v.14, 39-57.

16.Berezovskaya F.S., Khibnik A.I. ( 1980) Separatrix bifurcations at the problem on a stability loss of self-oscillations near resonance 1:4.J. Prikladnaya matematika i mekhanika (Appl.Math. and Mech.),44(5) 662-667.

17. Bazykin A.D., Berezovskaya F.S., Buriev T.E.( 1980) A predator-prey system dynamics with account of saturation and competition. In: A. Molchanov, A. Bazykin ed-s. Factors of diversity in mathematical ecology and population genetics.  Puschino, 6-33. (Russ.)

18. Bazykin A.D., Berezovskaya F.S., Nelgina O.A., Shvalova Yu.A. (1980) The low critical number of predator population and a predator-prey system dynamics. In Acad. Yu. Izrael ed. Problems of ecological monitoring and modeling of ecosystems.L-d:Gidrometeoizdat,v.3, 141-161. (Russ.)

19. Berezovskaya F.S. (1979) Index of stationary point of a plane vector field. Functyanalny anal. 13, 2.

20. Bazykin A.D. Berezovskaya F.S. (1978) Effect Alle, the low critical number of population and a predator-prey system dynamics. In: Acad. Izrael ed. Problems of ecological monitoring and modeling of ecosystems. L-d: Gidrometeoizdat, v. 2, 161-175. (Russ.)

21.Berezovskaya F.S. (1978)  Topological normal form of system of two differential equations in neighboring of singular point. Survey of soviet mathematics, 33, 2,200.

22.Berezovskaya F.S. (1976)  Exponent asymptotics of solutions of second order ODE system. Puschino, Department of Sci.Information of Sci. Center of Biological Researches of Acad.Sci.of USSR Registered N3447-76. 17p.

23.Berezovskaya F.S. (1973)  Emden-Fowler equation. Qualitative analysis. Puschino, Department of Sci. Information of Sci.Center of Biological Researches of Acad.Sci.of USSR, Registered N3070-74. 17p. Conference proceedings (refereed):

24.Berezovskaya F.S. (1998)  Solutions "traveling waves" in cross-diffusion polynomial models. In: International Conference dedicated to 90th Anniversary of L.S.Pontryagin. Moscow Steklov Math.Institute, Moscow State (Lomonosov)University,126-129.

25. Berezovskaya, F.S., Karev, G.P. (1997) New approaches of a qualitative behavior modeling of complex systems. In:Proceedings of International Conference "Informatics and Control" St.Petersburg.

26.Berezovskaya, F.S. (1995)  Stochastic perturbation of small limit cycles. In: Proceedings of Voronezh` mathematical school "Pontryagin`studies", VI, 10-11. (Russ.)

27. Bazykin A.D., Berezovskaya F.S., Zudin S.L. (1995) Bifurcation analysis of Boltera`models. Experience of computer educational book. In: Proceedings of 2 International conference "Mathematics, computer, education". Moscow-Puschino, 9-16. ( Russ.) Some conference abstracts (refereed):

28.Berezovskaya F.S., Karev G.P.(1999). Travelling waves and ⌠pulsing patterns■ in population models with autotaxis. TMBM-99, Amsterdam, Netherlands.

29.Berezovskaya F.S. (1998)  About solutions ⌠traveling waves■ of Lienard` equation cross-diffusion updating. Abstracts of International Congress of Mathematics (ICM-98), Berlin, 198.

30.Berezovskaya F.S., Karev G.P. (1998)  Parametric analysis of traveling waves in polynomial models "reaction-diffusion-taxis". Applications to modeling of forest insect outbreaks. In: Alcala 1st International Conference on Mathematical Ecology-. Alcala, Spain.
 
 

Pre-prints (refereed and registered):

31.Berezovskaya F.S., Kreitser G.P. ( 1975) Selected algorithms and programs for mini-computer "MIR-2".Complicated singular points of system of two differential equations. Puschino: Department of Sci.-Tech. Information of Scientific Center of Biological Researches of Acad..Sci.of USSR, 55p.

Forthcoming articles (refereed journals):

1. Berezovskaya F.S., Karev G.P. Travelling waves in polynomial population models ⌠growth-diffusion-taxis■`type. //Nonlinear analysis.(appear 2000)

2.Berezovskaya F.S., Karev G.P. Travelling waves in cross-diffusion models of population dynamics.//Biophysica (appear, 2000)

3. Berezovskaya F., Karev G., Arditi R. Parametric analysis of the ratio-dependent predator-prey models. J. Math. Biol. (submitted 1999)