STOCHASTIC EVOLUTION OF A CONTINUUM PARTICLE SYSTEM WITH DISPERSAL AND COMPETITION: MICRO- AND MESOSCOPIC DESCRIPTION

@inproceedings{Finkelshtein2012STOCHASTICEO,
  title={STOCHASTIC EVOLUTION OF A CONTINUUM PARTICLE SYSTEM WITH DISPERSAL AND COMPETITION: MICRO- AND MESOSCOPIC DESCRIPTION},
  author={Dmitri Finkelshtein},
  year={2012}
}
A Markov evolution of a system of point particles in R is described at micro-and mesoscopic levels. The particles reproduce themselves at distant points (dispersal) and die, independently and under the influence of each other (competition). The microscopic description is based on an infinite chain of equations for correlation functions, similar to the BBGKY hierarchy used in the Hamiltonian dynamics of continuum particle systems. The mesoscopic description is based on a Vlasov-type kinetic… CONTINUE READING

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