An operator approach to Vlasov scaling for some models of spatial ecology

Finkelshtein, D.; Kondratiev, Yu.; Kutoviy, O.

dc.contributor.author	Finkelshtein, D.
dc.contributor.author	Kondratiev, Yu.
dc.contributor.author	Kutoviy, O.
dc.date.accessioned	2024-11-11T09:33:54Z
dc.date.available	2024-11-11T09:33:54Z
dc.date.issued	2013
dc.identifier.citation	Finkelshtein, D. An operator approach to Vlasov scaling for some models of spatial ecology / D. Finkelshtein, Yu. Kondratiev, O. Kutoviy // Methods of Functional Analysis and Topology : Quarterly journal. – 2013. – Vol. 19, № 2. – pp. 108-126.	uk
dc.identifier.uri	http://enpuir.npu.edu.ua/handle/123456789/46675
dc.description.abstract	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 algorithmic realization in terms of related hierarchical chains of correlation functions equations. The existence of rescaled and limiting evolutions of correlation functions and convergence to the limiting evolution are shown. The obtained results enable us to derive a non-linear Vlasov-type equation for the density of the limiting system.	uk
dc.language.iso	en	uk
dc.subject	Continuous systems	uk
dc.subject	spatial birth-and-death processes	uk
dc.subject	individual based models	uk
dc.subject	Vlasov scaling	uk
dc.subject	Vlasov equation	uk
dc.subject	correlation functions	uk
dc.title	An operator approach to Vlasov scaling for some models of spatial ecology	uk
dc.type	Article	uk