62 citations · 675 across the 109 of their papers we have counts for
3 papers · 1 filter
Regulation mechanisms in spatial stochastic development models
Dmitri Finkelshtein, Yuri Kondratiev
The aim of this paper is to analyze different regulation mechanisms in spatial continuous stochastic development models. We describe the density behavior for models with global mor…
Individual based model with competition in spatial ecology
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We analyze an interacting particle system with a Markov evolution of birth-and-death type. We have shown that a local competition mechanism (realized via a density dependent mortal…
On convergence of dynamics of hopping particles to a birth-and-death process in continuum
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov
We show that some classes of birth-and-death processes in continuum (Glauber dynamics) may be derived as a scaling limit of a dynamics of interacting hopping particles (Kawasaki dy…