About: Generalized Lotka–Volterra equation

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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.

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rdfs:label	Generalized Lotka–Volterra equation (en)
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)
dcterms:subject	Equations Community ecology Population ecology
Wikipage page ID	24018375 (xsd:integer)
Wikipage revision ID	1026315884 (xsd:integer)
Link from a Wikipage to another Wikipage	Equations Community ecology Vector (mathematics and physics) Limit cycle Matrix (mathematics) Lotka–Volterra equation Community matrix Competitive Lotka–Volterra equations Functional response Population ecology Food web Replicator equation Attractor Chaos theory Arditi-Ginzburg equations Ordinary differential equation Carrying capacity Lyapunov stability Principle of maximum entropy Volterra lattice Barro Colorado Island Research Station Trophic network dbr:Predator_preference
sameAs	Generalized Lotka–Volterra equation Generalized Lotka–Volterra equation Generalized Lotka–Volterra equation
dbp:wikiPageUsesTemplate	dbt:Use_dmy_dates
has 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)
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page length (characters) of wiki page	11975 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Generalized_Lotka–Volterra_equation
is Link from a Wikipage to another Wikipage of	Competitive Lotka–Volterra equations Replicator equation Generalized Lotka-Volterra equation Lotka–Volterra equations Immanuel Bomze Volterra lattice
is Wikipage redirect of	Generalized Lotka-Volterra equation
is foaf:primaryTopic of	wikipedia-en:Generalized_Lotka–Volterra_equation

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