Asymptotic analysis of a model of steady state of a biocoenosis
type: Item
instance of: scholarly article
title: Asymptotic analysis of a model of steady state of a biocoenosis
zbMATH Open document ID: 0632.92020
author: N. V. Grigor'ev
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 1987-01-01T00:00:00Z
review text: The author gives a quite detailed analysis of the so-called ``stationary state model'' for biocoenosis of some competing populations. The main results include the construction of an asymptotic representation for the solution of the model, described by the aid of some integro-differential equations. Using some results of \textit{J. M. Cushing} [J. Math. Biol. 20, 259-276 (1984; Zbl 0553.92014)] and \textit{M. I. Stronyna} [Mathematical analysis of a class of models of the dynamics of biological populations. Russian preprint (1981)] he proves two theorems which furnish finally the required asymptotic solutions and also an estimate of the error implied by the derived solutions. The author also studies the behaviour of the solutions and examines some peculiar ones which might be of interest for biomathematicians. A final remark is that the potential readers of this article must be well up concerning dynamic models for ecological systems.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M05
zbMATH DE Number: 4029343
zbMATH Keywords: stationary state model
zbMATH Keywords: biocoenosis
zbMATH Keywords: competing populations
reviewed by: T. Postelnicu
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4029343