123 citations · 194 across the 6 of their papers we have counts for
6 papers
Phytoplankton competition in deep biomass maximum
Alexei B. Ryabov
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 graphical theory of competition on spatial resource gradients
Alexei B. Ryabov, Bernd Blasius
Resource competition is a fundamental interaction in natural communities.However little is known about competition in spatial environments where organisms are able to regulate reso…
Analysis of patterns formed by two-component diffusion limited aggregation
E. B. Postnikov, A. B. Ryabov, A. Loskutov
We consider diffusion limited aggregation of particles of two different kinds. It is assumed that a particle of one kind may adhere only to another particle of the same kind. The p…
Vertical distribution and composition of phytoplankton under the influence of an upper mixed layer
Alexei B. Ryabov, Lars Rudolf, Bernd Blasius
The vertical distribution of phytoplankton is of fundamental importance for the dynamics and structure of aquatic communities. Here, using an advection-reaction-diffusion model, we…
Population growth and persistence in a heterogeneous environment: the role of diffusion and advection
A. B. Ryabov, B. Blasius
The spatio-temporal dynamics of a population present one of the most fascinating aspects and challenges for ecological modelling. In this article we review some simple mathematical…
Chaotic time-dependent billiards
Alexander Loskutov, Alexei Ryabov
A billiard in the form of a stadium with periodically perturbed boundary is considered. Two types of such billiards are studied: stadium with strong chaotic properties and a near-r…