About: Generalized Lotka–Volterra equation

An Entity of Type: WikicatEquations, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

The generalized Lotka–Volterra equations are a set of equations which are more general than either the competitive or predator–prey examples of Lotka–Volterra types. They can be used to model direct competition and trophic relationships between an arbitrary number of species. Their dynamics can be analysed analytically to some extent. This makes them useful as a theoretical tool for modeling food webs. However, they lack features of other ecological models such as and nonlinear functional responses, and they cannot be used to model mutualism without allowing indefinite population growth.

Property Value
dbo:abstract
  • The generalized Lotka–Volterra equations are a set of equations which are more general than either the competitive or predator–prey examples of Lotka–Volterra types. They can be used to model direct competition and trophic relationships between an arbitrary number of species. Their dynamics can be analysed analytically to some extent. This makes them useful as a theoretical tool for modeling food webs. However, they lack features of other ecological models such as and nonlinear functional responses, and they cannot be used to model mutualism without allowing indefinite population growth. The generalised Lotka-Volterra equations model the dynamics of the populations of biological species. Together, these populations can be considered as a vector . They are a set of ordinary differential equations given by where the vector is given by where is a vector and A is a matrix known as the community matrix. (en)
dbo:wikiPageID
  • 24018375 (xsd:integer)
dbo:wikiPageLength
  • 11975 (xsd:nonNegativeInteger)
dbo:wikiPageRevisionID
  • 1026315884 (xsd:integer)
dbo:wikiPageWikiLink
dbp:wikiPageUsesTemplate
dcterms:subject
rdf:type
rdfs:comment
  • The generalized Lotka–Volterra equations are a set of equations which are more general than either the competitive or predator–prey examples of Lotka–Volterra types. They can be used to model direct competition and trophic relationships between an arbitrary number of species. Their dynamics can be analysed analytically to some extent. This makes them useful as a theoretical tool for modeling food webs. However, they lack features of other ecological models such as and nonlinear functional responses, and they cannot be used to model mutualism without allowing indefinite population growth. (en)
rdfs:label
  • Generalized Lotka–Volterra equation (en)
owl:sameAs
prov:wasDerivedFrom
foaf:isPrimaryTopicOf
is dbo:wikiPageRedirects of
is dbo:wikiPageWikiLink of
is foaf:primaryTopic of
Powered by OpenLink Virtuoso    This material is Open Knowledge     W3C Semantic Web Technology     This material is Open Knowledge    Valid XHTML + RDFa
This content was extracted from Wikipedia and is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License