Evolution of states in a continuum migration model

Kondratiev Y, Kozitsky Y (2018)
ANALYSIS AND MATHEMATICAL PHYSICS 8(1): 93-121.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Autor*in
Kondratiev, YuriUniBi; Kozitsky, Yuri
Abstract / Bemerkung
The Markov evolution of states of a continuum migration model is studied. The model describes an infinite system of entities placed in R-d in which the constituents appear (immigrate) with rate b(x) and disappear, also due to competition. For this model, we prove the existence of the evolution of states mu(0) -> mu(t) such that the moments mu(t) (N-Lambda(n)), n is an element of N, of the number of entities in compact Lambda subset of R-d remain bounded for all t > 0. Under an additional condition, we prove that the density of entities and the second correlation function remain point-wise bounded globally in time.
Stichworte
Markov evolution; Competition kernel; Poisson random field
Erscheinungsjahr
2018
Zeitschriftentitel
ANALYSIS AND MATHEMATICAL PHYSICS
Band
8
Ausgabe
1
Seite(n)
93-121
ISSN
1664-2368
eISSN
1664-235X
Page URI
https://pub.uni-bielefeld.de/record/2918653

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Kondratiev Y, Kozitsky Y. Evolution of states in a continuum migration model. ANALYSIS AND MATHEMATICAL PHYSICS. 2018;8(1):93-121.
Kondratiev, Y., & Kozitsky, Y. (2018). Evolution of states in a continuum migration model. ANALYSIS AND MATHEMATICAL PHYSICS, 8(1), 93-121. doi:10.1007/s13324-017-0166-8
Kondratiev, Y., and Kozitsky, Y. (2018). Evolution of states in a continuum migration model. ANALYSIS AND MATHEMATICAL PHYSICS 8, 93-121.
Kondratiev, Y., & Kozitsky, Y., 2018. Evolution of states in a continuum migration model. ANALYSIS AND MATHEMATICAL PHYSICS, 8(1), p 93-121.
Y. Kondratiev and Y. Kozitsky, “Evolution of states in a continuum migration model”, ANALYSIS AND MATHEMATICAL PHYSICS, vol. 8, 2018, pp. 93-121.
Kondratiev, Y., Kozitsky, Y.: Evolution of states in a continuum migration model. ANALYSIS AND MATHEMATICAL PHYSICS. 8, 93-121 (2018).
Kondratiev, Yuri, and Kozitsky, Yuri. “Evolution of states in a continuum migration model”. ANALYSIS AND MATHEMATICAL PHYSICS 8.1 (2018): 93-121.