ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS

Finkelshtein D, Kondratiev Y, Kutoviy O (2013)
Infinite Dimensional Analysis Quantum Probability And Related Topics 16(2): 1350014.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Finkelshtein, Dmitri; Kondratiev, YuriUniBi; Kutoviy, Oleksandr
Abstract / Bemerkung
We consider spatial population dynamics given by Markov birth-and-death process with constant mortality and birth influenced by establishment or fecundity mechanisms. The independent and density dependent dispersion of spreading are studied. On the base of general methods of Ref. 14, we construct the state evolution of considered microscopic ecological systems. We analyze mesoscopic limit for stochastic dynamics under consideration. The corresponding Vlasov-type non-linear kinetic equations are derived and studied.
Stichworte
fecundity; Vlasov-type equation; establishment; Spatial birth-and-death processes; individual based models
Erscheinungsjahr
2013
Zeitschriftentitel
Infinite Dimensional Analysis Quantum Probability And Related Topics
Band
16
Ausgabe
2
Art.-Nr.
1350014
ISSN
0219-0257
Page URI
https://pub.uni-bielefeld.de/record/2622363

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Finkelshtein D, Kondratiev Y, Kutoviy O. ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS. Infinite Dimensional Analysis Quantum Probability And Related Topics. 2013;16(2): 1350014.
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O. (2013). ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS. Infinite Dimensional Analysis Quantum Probability And Related Topics, 16(2), 1350014. doi:10.1142/S0219025713500148
Finkelshtein, D., Kondratiev, Y., and Kutoviy, O. (2013). ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS. Infinite Dimensional Analysis Quantum Probability And Related Topics 16:1350014.
Finkelshtein, D., Kondratiev, Y., & Kutoviy, O., 2013. ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS. Infinite Dimensional Analysis Quantum Probability And Related Topics, 16(2): 1350014.
D. Finkelshtein, Y. Kondratiev, and O. Kutoviy, “ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS”, Infinite Dimensional Analysis Quantum Probability And Related Topics, vol. 16, 2013, : 1350014.
Finkelshtein, D., Kondratiev, Y., Kutoviy, O.: ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS. Infinite Dimensional Analysis Quantum Probability And Related Topics. 16, : 1350014 (2013).
Finkelshtein, Dmitri, Kondratiev, Yuri, and Kutoviy, Oleksandr. “ESTABLISHMENT AND FECUNDITY IN SPATIAL ECOLOGICAL MODELS: STATISTICAL APPROACH AND KINETIC EQUATIONS”. Infinite Dimensional Analysis Quantum Probability And Related Topics 16.2 (2013): 1350014.

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