How differences in the mixing of the upper and lower layers of a water column influences the distribution of phytoplankton species and the outcome of competition between them?

Ryabov A.B., Rudolf L., and Blasius B. (2010) Vertical distribution and composition of phytoplankton under the influence of an upper mixed layer. J. Theor. Biol. 263: 120--133

Under what conditions a population will survive in a heterogeneouse environment and when a new species can invade in the presence of another?

Ryabov A.B. and Blasius B. (2008) Population growth and persistence in a heterogeneous environment: the role of diffusion and advection. Math. Model. Nat. Phenom. 3: 42-86

One species might evolve to better fit a landscape of a niche space, but what will happen if this landscape dynamically changes, reflecting locations of all other species?

Dommar C. J., Ryabov A. and Blasius B. (2008) Coevolutionary motion and swarming in a niche space model of ecological species interactions. Eur. Phys. J. Special Topics 157: 223òÀÓ238

In billiards with perturbed boundaries a billiard ball will change its velocity, which is know as Fermi acceleration. What dynamical properties of unperturbed billiards are important to achieve high velocities of the billiard ball

Loskutov A., Chichigina O., and Ryabov A. (2008) Thermodynamics of dispersing billiards with time-dependent boundaries. Int. J. Bifurcat. Chaos 18: 2863-2869

Loskutov A. and Ryabov A. (2002) Particle dynamics in time-dependent stadium-like billiards. J. Stat. Phys. 108: 995-1014

Loskutov A., Ryabov A.B., and Akinshin, L.G. (2000) Properties of some chaotic billiards with time-dependent boundaries. J. Phys. A-Math. Theor. 33: 7973-7986

Loskutov A., Ryabov A.B., and Akinshin, L.G. (1999) Mechanism of Fermi acceleration in dispersing billiards with time-dependent boundaries. J. Exp. Theor. Phys 89: 966-974

To what extend can we predict the structure of a cluster growing on a specially assembled substrate

Postnikov E.B., Ryabov, A.B., and Loskutov A. (2007) Generalization of the DLA process with different immiscible components by time-scale coarse graining. J. Phys. A-Math. Theor. 40: 12033-12042

Ryabov, A.B., Postnikov E.B., and Loskutov A. (2005) Diffusion-limited aggregation: A continuum mean field model. J. Exp.Theor. Phys. 101: 253-258

Loskutov A., Andrievsky D., Ivanov V., Vasiliev K., Ryabov A. (2000) Fractal growth of rotating DLA-clusters. Macromol. Symp. 160: 239-248