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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 10, Pages 1718–1730
DOI: https://doi.org/10.1134/S004446691910003X (Mi zvmmf10968) 		 
Statistical description of closed biocenoses described by a Volterra chain subject to periodic boundary conditions

Yu. V. Bibik

Federal Research Center "Computer Science and Control," Russian Academy of Sciences, Moscow, 119333 Russia
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DOI: https://doi.org/10.1134/S004446691910003X
Abstract: Statistical properties of closed biocenoses described by a Volterra chain subject to periodic boundary conditions are studied. The periodicity of the boundary conditions makes the interaction matrix singular. This causes certain difficulties in statistical description. The system dynamics is described by a class of Hamiltonians. The change of Hamiltonians within the class preserves the system dynamics, but it changes its statistical properties. Hence, the problem of selecting a unique Hamiltonian that correctly describes the statistical properties of the system. This problem is solved, and the statistical properties of the system are described.
Key words: closed biocenosis, Volterra chain, Hamiltonian, partition function.
Received: 10.04.2019
Revised: 10.06.2019
Accepted: 10.06.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 10, Pages 1660–1671
DOI: https://doi.org/10.1134/S0965542519100038
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: Yu. V. Bibik, “Statistical description of closed biocenoses described by a Volterra chain subject to periodic boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 59:10 (2019), 1718–1730; Comput. Math. Math. Phys., 59:10 (2019), 1660–1671
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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