46 citations · 158 across the 22 of their papers we have counts for
25 papers
Fecundity regulation in a spatial birth-and-death process
Viktor Bezborodov, Luca Di Persio, Dmitri Finkelshtein +2
We study a Markov birth-and-death process on a space of locally finite configurations, which describes an ecological model with a density dependent fecundity regulation mechanism.…
Invariant measures for spatial contact model in small dimensions
Yuri Kondratiev, Oleksandr Kutoviy, Sergey Pirogov +1
We study invariant measures of continuous contact model in small dimensional spaces (). Under general conditions we prove that in the critical regime this system has the on…
On Stochastic Cucker-Smale flocking dynamics
Martin Friesen, Oleksandr Kutoviy
We present a stochastic version of the Cucker-Smale flocking dynamics based on a markovian -particle system of pair interactions with unbounded and, in general, non-Lipschitz co…
Nonlinear perturbations of evolution systems in scales of Banach spaces
Martin Friesen, Oleksandr Kutoviy
A variant of the abstract Cauchy-Kovalevskaya theorem is considered. We prove existence and uniqueness of classical solutions to the nonlinear, non-autonomous initial value problem…
Evolution of states and mesoscopic scaling for two-component birth-and-death dynamics in continuum
Martin Friesen, Oleksandr Kutoviy
Two coupled spatial birth-and-death Markov evolutions on are obtained as unique weak solutions to the associated Fokker-Planck equations. Such solutions are construc…
Lattice birth-and-death processes
Viktor Bezborodov, Yuri Kondratiev, Oleksandr Kutoviy
Lattice birth-and-death Markov dynamics of particle systems with spins from the set of non-negative integers are constructed as unique solutions to certain stochastic equations. Pa…