Stability of Lotka-Volterra model
type: Item
instance of: scholarly article
title: Stability of Lotka-Volterra model
zbMATH Open document ID: 0759.34044
DOI: 10.1016/0895-7177(92)90051-L
author: S. Singh
published in: Mathematical and Computer Modelling
publication date: 1993-01-16T00:00:00Z
review text: By assuming the positivity of the equilibrium state of a Lotka-Volterra model of \(n\) interacting species defined by \(x_ i'=x_ i(a_ i- \sum_{j=1}^ n b_{ij} x_ j)\), \(i=1,\dots,n\), sufficient conditions are given for the stability of the equilibrium state. The stability of the Lotka-Volterra model under random environmental perturbations is investigated.
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 90967
zbMATH Keywords: effects of randomness on stability
zbMATH Keywords: Itô-type stochastic differential equation
zbMATH Keywords: Lotka-Volterra model
zbMATH Keywords: interacting species
zbMATH Keywords: stability
zbMATH Keywords: random environmental perturbations
reviewed by: D. Jarušková
MaRDI profile type: Publication
cites work: Stability and limiting distributions of one and two species stochastic population models
cites work: Stability of multispecies communities in randomly varying environment
cites work: Q5671822
cites work: Q4160745
cites work: A diffusion model for population growth in random environment
cites work: A population's stationary distribution and chance of extinction in a stochastic environment with remarks on the theory of species packing
cites work: Random differential inequalities
full work available at URL: 0895-7177(92)90051-l
OpenAlex ID: W2040164744
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description: scientific article; zbMATH DE number 90967