This HTML5 document contains 53 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n9https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbchttp://dbpedia.org/resource/Category:
dbphttp://dbpedia.org/property/
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Generalized_Lotka–Volterra_equation
rdf:type
yago:Message106598915 yago:Communication100033020 yago:Abstraction100002137 yago:MathematicalStatement106732169 yago:Statement106722453 yago:WikicatEquations yago:Equation106669864
rdfs:label
Generalized Lotka–Volterra equation
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.
dcterms:subject
dbc:Equations dbc:Population_ecology dbc:Community_ecology
dbo:wikiPageID
24018375
dbo:wikiPageRevisionID
1026315884
dbo:wikiPageWikiLink
dbr:Volterra_lattice dbr:Replicator_equation dbr:Principle_of_maximum_entropy dbc:Equations dbr:Ordinary_differential_equation dbc:Community_ecology dbr:Functional_response dbr:Food_web dbc:Population_ecology dbr:Arditi-Ginzburg_equations dbr:Limit_cycle dbr:Predator_preference dbr:Chaos_theory dbr:Community_matrix dbr:Lyapunov_stability dbr:Carrying_capacity dbr:Attractor dbr:Vector_(mathematics_and_physics) dbr:Barro_Colorado_Island_Research_Station dbr:Competitive_Lotka–Volterra_equations dbr:Trophic_network dbr:Matrix_(mathematics) dbr:Lotka–Volterra_equation
owl:sameAs
n9:4kEoE wikidata:Q5532443 freebase:m.07k9yrv
dbp:wikiPageUsesTemplate
dbt:Use_dmy_dates
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.
prov:wasDerivedFrom
wikipedia-en:Generalized_Lotka–Volterra_equation?oldid=1026315884&ns=0
dbo:wikiPageLength
11975
foaf:isPrimaryTopicOf
wikipedia-en:Generalized_Lotka–Volterra_equation
Subject Item
dbr:Competitive_Lotka–Volterra_equations
dbo:wikiPageWikiLink
dbr:Generalized_Lotka–Volterra_equation
Subject Item
dbr:Replicator_equation
dbo:wikiPageWikiLink
dbr:Generalized_Lotka–Volterra_equation
Subject Item
dbr:Generalized_Lotka-Volterra_equation
dbo:wikiPageWikiLink
dbr:Generalized_Lotka–Volterra_equation
dbo:wikiPageRedirects
dbr:Generalized_Lotka–Volterra_equation
Subject Item
dbr:Lotka–Volterra_equations
dbo:wikiPageWikiLink
dbr:Generalized_Lotka–Volterra_equation
Subject Item
dbr:Immanuel_Bomze
dbo:wikiPageWikiLink
dbr:Generalized_Lotka–Volterra_equation
Subject Item
dbr:Volterra_lattice
dbo:wikiPageWikiLink
dbr:Generalized_Lotka–Volterra_equation
Subject Item
wikipedia-en:Generalized_Lotka–Volterra_equation
foaf:primaryTopic
dbr:Generalized_Lotka–Volterra_equation