Stochastic dynamics for the population of 1-cell species (the mathematical model of plankton)

Stochastics Seminar
Thursday, February 25, 2010 - 3:00pm for 1 hour (actually 50 minutes)
Skiles 269
Stanislav Molchanov – UNC Charlotte
Yuri Bakhtin
The talk will present several limit theorems for the supercritical colony of the particles with masses. Reaction-diffusion equations responsible for the spatial distribution of the species contain the usual random death, birth and migration processes. The evolution of the mass of the individual particle includes (together with the diffusion) the mitosis: the splitting of the mass between the two offspring. The last process leads to the new effects. The limit theorems give the detailed picture of the space –mass distribution of the particles in the bulk of the moving front of the population.