Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Alexei B. Ryabov"'
Publikováno v:
AMERICAN NATURALIST
Stage structures of populations can have a profound influence on their dynamics. However, not much is known about the transient dynamics that follow a disturbance in such systems. Here we combined chemostat experiments with dynamical modeling to stud
Autor:
Alexei B. Ryabov
Publikováno v:
Theoretical Ecology. 5:373-385
Resource competition in heterogeneous environments is still an unresolved problem of theoretical ecology. In this article I analyze competition between two phytoplankton species in a deep water column, where the distributions of main resources (light
Autor:
Bernd Blasius, Alexei B. Ryabov
Publikováno v:
Ecology Letters. 14:220-228
Resource competition is a fundamental interaction in natural communities.However little is known about competition in spatial environments where organisms are able to regulate resource distributions. Here, we analyze the competition of two consumers
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 389:5408-5415
a b s t r a c t We consider a family of stadium-like billiards with time-dependent boundaries. Two different cases of time dependence are studied: (i) the fixed boundary approximation and (ii) the exact model which takes into account the motion of th
Publikováno v:
Nelineinaya Dinamika. :573-604
Publikováno v:
International Journal of Bifurcation and Chaos. 18:2863-2869
By means of a thermodynamic approach we analyze billiards in the form of the Lorentz gas with the open horizon. For periodic and stochastic oscillations of the scatterers, the average velocity of the particle ensemble as a function of time is analyti
Generalization of the DLA process with different immiscible components by time-scale coarse graining
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 40:12033-12042
In the framework of the mean-field approximation we propose a new approach to the description of the growth of fractal structures which are formed as a result of the process of diffusion limited aggregation. Our approach is based on the coarse graini
Autor:
Bernd Blasius, Alexei B. Ryabov
Publikováno v:
The American naturalist. 184(5)
The theory of resource competition in spatially extended systems with resources and biomass fluxes is far from trivial. Here, we analyze the competition between two phytoplankton species for light and a nutrient in a weakly mixed water column. We dev
Publikováno v:
Journal of Experimental and Theoretical Physics. 101:253-258
Mean field theory is used as a basis for a new approach to analyzing fractal pattern formation by diffusion-limited aggregation. A coarse time scale is introduced to take into account the discrete nature of DLA clusters. A system of equations is deri
Autor:
Alexei B. Ryabov, Alexander Loskutov
Publikováno v:
Journal of Statistical Physics. 108:995-1014
Billiards in the form of a stadium with perturbed boundaries are considered. Investigations are primarily devoted to billiards having a near-rectangle form, but the results regarding the “classical” stadium with the boundary that consists of two