Lotka–Volterran.

Brit.

/ˌlɒtkəvɒlˈtɛrə/, U.S.

/ˌlɑtkəˌvoʊlˈtɛrə/

Origin: From proper names. Etymons: proper names Lotka, Volterra.

Etymology: < the names of Alfred James Lotka (1880–1949), Austrian-born U.S. statistician, and Vito Volterra (1860–1940), Italian mathematician, who each independently proposed the model.Equations of this kind were derived by Lotka in 1920 ( Proc. National Acad. Sci. U.S.A. 6 412) and by Volterra in 1926 ( Mem. della Reale Accad. Nazionale dei Lincei Ser. 6. 2).

Chiefly Ecology.

Used attributively with reference to concepts and mathematical models developed by Lotka and Volterra, esp. systems of differential equations used to model variation in the sizes of populations which are interdependent (esp. predator and prey species) or otherwise related, e.g. through competing for the same resource. Esp. in Lotka–Volterra equations.

ΘΚΠ

the world > animals > by habitat > [adjective] > relating to fauna > relating to distribution of > relating to types or features of

homoeozoic1852

holarctic1883

Bergmann1929

Lotka–Volterra1937

the world > animals > by eating habits > [noun] > carnivore > predator > population variation of predator or prey

Lotka–Volterra1937

the world > relative properties > number > algebra > [noun] > expression > equation

equation1570

cardanic equation1684

binomial equation1814

simultaneous equation1816

characteristic equation1828

characteristic equation1841

characteristic equation1849

intrinsic equation of a curve1849

complete primitive1859

primitive1862

Poisson's equation1873

Jacobi equation1882

formulaic equation1884

adjoint1889

recursion formula1895

characteristic equation1899

characteristic equation1900

Pell equation1910

Lotka–Volterra equations1937

Langevin equation1943

1937 Jrnl. Animal Ecol. 6 12 There is here the mechanism of fluctuations between predator and prey of the Lotka-Volterra type.

1941 Obit. Notices Fellows Royal Soc. 3 709 He investigated..the association of two species, one of which feeds on the other... For this case we have the Lotka-Volterra equations.

1964 K. Z. Morgan et al. Health Physics Div. Ann. Progress Rep. (Oak Ridge National Lab.) p. ix/1 There are four possible cases of outcome between two competing Lotka-Volterra species.

1973 Ecology 54 650 The results for two species competition defined by the Lotka-Volterra equations are well known.

1977 Amer. Jrnl. Sociol. 82 943 In order to see the implications of the model for organizational diversity, we extend the Lotka-Volterra system to include M competitors.

1988 New Scientist 2 June 60/4 Sharks and fish fight out their ecological battle on the toroidal planet of Wa-Tor, discretely simulating stochastic Lotka–Volterra cycles.

2007 Ann. Rev. Sociol. 33 74/1 Lotka-Volterra equations..can also be used to describe competition among organizations for members.

2010 D. F. Griffiths & D. J. Higham Numerical Methods for Ordinary Differential Equations i. 6 The Lotka–Volterra equations offer a simplistic model of the conflict between populations of predators and prey.

This entry has been updated (OED Third Edition, September 2015; most recently modified version published online March 2022).

单词	lotka–volterra
释义	Lotka–Volterran. Brit. /ˌlɒtkəvɒlˈtɛrə/, U.S. /ˌlɑtkəˌvoʊlˈtɛrə/ Origin: From proper names. Etymons: proper names Lotka, Volterra. Etymology: < the names of Alfred James Lotka (1880–1949), Austrian-born U.S. statistician, and Vito Volterra (1860–1940), Italian mathematician, who each independently proposed the model.Equations of this kind were derived by Lotka in 1920 ( Proc. National Acad. Sci. U.S.A. 6 412) and by Volterra in 1926 ( Mem. della Reale Accad. Nazionale dei Lincei Ser. 6. 2). Chiefly Ecology. Used attributively with reference to concepts and mathematical models developed by Lotka and Volterra, esp. systems of differential equations used to model variation in the sizes of populations which are interdependent (esp. predator and prey species) or otherwise related, e.g. through competing for the same resource. Esp. in Lotka–Volterra equations. ΘΚΠ the world > animals > by habitat > [adjective] > relating to fauna > relating to distribution of > relating to types or features of homoeozoic1852 holarctic1883 Bergmann1929 Lotka–Volterra1937 the world > animals > by eating habits > [noun] > carnivore > predator > population variation of predator or prey Lotka–Volterra1937 the world > relative properties > number > algebra > [noun] > expression > equation equation1570 cardanic equation1684 binomial equation1814 simultaneous equation1816 characteristic equation1828 characteristic equation1841 characteristic equation1849 intrinsic equation of a curve1849 complete primitive1859 primitive1862 Poisson's equation1873 Jacobi equation1882 formulaic equation1884 adjoint1889 recursion formula1895 characteristic equation1899 characteristic equation1900 Pell equation1910 Lotka–Volterra equations1937 Langevin equation1943 1937 Jrnl. Animal Ecol. 6 12 There is here the mechanism of fluctuations between predator and prey of the Lotka-Volterra type. 1941 Obit. Notices Fellows Royal Soc. 3 709 He investigated..the association of two species, one of which feeds on the other... For this case we have the Lotka-Volterra equations. 1964 K. Z. Morgan et al. Health Physics Div. Ann. Progress Rep. (Oak Ridge National Lab.) p. ix/1 There are four possible cases of outcome between two competing Lotka-Volterra species. 1973 Ecology 54 650 The results for two species competition defined by the Lotka-Volterra equations are well known. 1977 Amer. Jrnl. Sociol. 82 943 In order to see the implications of the model for organizational diversity, we extend the Lotka-Volterra system to include M competitors. 1988 New Scientist 2 June 60/4 Sharks and fish fight out their ecological battle on the toroidal planet of Wa-Tor, discretely simulating stochastic Lotka–Volterra cycles. 2007 Ann. Rev. Sociol. 33 74/1 Lotka-Volterra equations..can also be used to describe competition among organizations for members. 2010 D. F. Griffiths & D. J. Higham Numerical Methods for Ordinary Differential Equations i. 6 The Lotka–Volterra equations offer a simplistic model of the conflict between populations of predators and prey. This entry has been updated (OED Third Edition, September 2015; most recently modified version published online March 2022). < n.1937
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