About: Competitive Lotka–Volterra equations

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The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource. They can be further generalised to the Generalized Lotka–Volterra equation to include trophic interactions.

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rdfs:label	Ecuaciones competitivas de Lotka-Volterra (es) Competitive Lotka–Volterra equations (en) Équations de compétition de Lotka-Volterra (fr) ロトカ・ヴォルテラの競争方程式 (ja)
rdfs:comment	The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource. They can be further generalised to the Generalized Lotka–Volterra equation to include trophic interactions. (en) Las ecuaciones competitivas de Lotka-Volterra son un modelo simple de la dinámica poblacional de especies que compiten por algún recurso común. Pueden aún más para incluir interacciones tróficas. (es) Les équations de compétition de Lotka-Volterra sont un modèle phénoménologique simple de dynamique des populations en compétition. Leur expression est similaire à celle des équations de prédation de Lotka-Volterra pour la prédation. (fr) ロトカ・ヴォルテラの競争方程式（ロトカ・ヴォルテラのきょうそうほうていしき）は、競争関係にある生物の個体数の変動を表す数理モデルの一種である。2つの種AとBが食料や生息場所などを巡って競争するとき、種Aの存在は、種Bの繁殖を阻害する。種Aにとっても、種Bの存在は繁殖を邪魔する。このような、お互いの存在がそれぞれの個体数増殖に相互にマイナスの影響を与える点を含め、2種の個体数の時間変化を表したモデルがロトカ・ヴォルテラの競争方程式である。名称はとヴィト・ヴォルテラに由来する。競争方程式以外に競争式や競争系、競争モデル、単にロトカ・ヴォルテラ方程式などとも呼ばれる。英語では Lotka-Volterra competition model や Lotka-Volterra equations などと呼ばれる。 (ja)
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dcterms:subject	Equations Community ecology Population models Chaotic maps Population ecology
Wikipage page ID	1291808 (xsd:integer)
Wikipage revision ID	1110054705 (xsd:integer)
Link from a Wikipage to another Wikipage	Root of unity Equations Community ecology Population models Permutation Vector (geometric) Dynamical system Invariant (mathematics) Limit cycle Column vector Complex number Complex plane Matrix (mathematics) Matrix multiplication Generalized Lotka–Volterra equation Orbit (dynamics) Origin (mathematics) Function (mathematics) Equilibrium point Chaotic maps Logistic function Simplex Strange attractor Hopf bifurcation Population ecology Torus Transitive relation Trefoil Ecology Exponential function Fixed point (mathematics) Food web Fractal Eigenvalue, eigenvector and eigenspace Population dynamics Replicator equation Attractor Inverse element Invertible matrix Asymptote Homeomorphism Dimension Manifold Circulant matrix Carrying capacity Reaction–diffusion system Lotka–Volterra equations Lyapunov exponent Lyapunov function Lyapunov stability Chaotic attractor
sameAs	Competitive Lotka–Volterra equations Competitive Lotka–Volterra equations Competitive Lotka–Volterra equations Competitive Lotka–Volterra equations Competitive Lotka–Volterra equations Competitive Lotka–Volterra equations
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has abstract	The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource. They can be further generalised to the Generalized Lotka–Volterra equation to include trophic interactions. (en) Las ecuaciones competitivas de Lotka-Volterra son un modelo simple de la dinámica poblacional de especies que compiten por algún recurso común. Pueden aún más para incluir interacciones tróficas. (es) Les équations de compétition de Lotka-Volterra sont un modèle phénoménologique simple de dynamique des populations en compétition. Leur expression est similaire à celle des équations de prédation de Lotka-Volterra pour la prédation. (fr)

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