62 citations · 675 across the 109 of their papers we have counts for
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Establishment and Fecundity in Spatial Ecological Models: Statistical Approach and Kinetic Equations
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We consider spatial population dynamics given by Markov birth-and-death process with constant mortality and birth influenced by establishment or fecundity mechanisms. The independe…
Semigroup approach to birth-and-death stochastic dynamics in continuum
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We describe a general approach to the construction of a state evolution corresponding to the Markov generator of a spatial birth-and-death dynamics in . We present co…
Operator approach to Vlasov scaling for some models of spatial ecology
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We consider Vlasov-type scaling for Markov evolution of birth-and-death type in continuum, which is based on a proper scaling of corresponding Markov generators and has an algorith…