Lotka–Volterra equations

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Lotka–Volterra equations

Quality:

Lotka–Volterra equations - first-order nonlinear differential equations, frequently used to describe the dynamics of biological systems in which two species interact, one as a predator and the other as prey. Article "Lotka–Volterra equations" in English Wikipedia has 62.7 points for quality (as of July 1, 2025). The article contains 36 references and 15 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Lotka–Volterra equations" was edited by 2 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article "Lotka–Volterra equations", its content was written by 189 registered users of English Wikipedia and edited by 642 registered Wikipedia users in all languages.

The article is cited 492 times in English Wikipedia and cited 1415 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #11290 in November 2013
  • Global: #20799 in March 2022

The highest popularity rank from 2008:

  • Local (English): #37557 in April 2025
  • Global: #51579 in April 2025

There are 26 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Lotka–Volterra equations
62.6527
2Japanese (ja)
ロトカ・ヴォルテラの方程式
60.0143
3German (de)
Lotka-Volterra-Gleichungen
47.467
4Chinese (zh)
洛特卡-沃爾泰拉方程
43.1989
5Simple English (simple)
Predator-prey equations
35.6994
6Polish (pl)
Równanie Lotki-Volterry
30.9539
7Dutch (nl)
Lotka-Volterravergelijking
27.5575
8Spanish (es)
Ecuaciones de Lotka-Volterra
24.5785
9Hebrew (he)
משוואות לוטקה-וולטרה
21.6941
10French (fr)
Équations de prédation de Lotka-Volterra
20.6928
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Lotka–Volterra equations" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lotka–Volterra equations
2 814 106
2Japanese (ja)
ロトカ・ヴォルテラの方程式
377 205
3French (fr)
Équations de prédation de Lotka-Volterra
334 351
4German (de)
Lotka-Volterra-Gleichungen
308 557
5Russian (ru)
Модель Лотки — Вольтерры
246 730
6Italian (it)
Equazioni di Lotka-Volterra
226 094
7Spanish (es)
Ecuaciones de Lotka-Volterra
174 445
8Polish (pl)
Równanie Lotki-Volterry
115 474
9Chinese (zh)
洛特卡-沃爾泰拉方程
96 468
10Portuguese (pt)
Equação de Lotka-Volterra
86 609
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Lotka–Volterra equations" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Lotka–Volterra equations
12 105
2French (fr)
Équations de prédation de Lotka-Volterra
2 531
3Japanese (ja)
ロトカ・ヴォルテラの方程式
1 682
4Spanish (es)
Ecuaciones de Lotka-Volterra
1 010
5German (de)
Lotka-Volterra-Gleichungen
882
6Russian (ru)
Модель Лотки — Вольтерры
814
7Korean (ko)
로트카-볼테라 방정식
778
8Italian (it)
Equazioni di Lotka-Volterra
774
9Simple English (simple)
Predator-prey equations
458
10Polish (pl)
Równanie Lotki-Volterry
437
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Lotka–Volterra equations" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lotka–Volterra equations
189
2German (de)
Lotka-Volterra-Gleichungen
63
3French (fr)
Équations de prédation de Lotka-Volterra
63
4Italian (it)
Equazioni di Lotka-Volterra
50
5Russian (ru)
Модель Лотки — Вольтерры
37
6Japanese (ja)
ロトカ・ヴォルテラの方程式
29
7Polish (pl)
Równanie Lotki-Volterry
28
8Spanish (es)
Ecuaciones de Lotka-Volterra
25
9Portuguese (pt)
Equação de Lotka-Volterra
20
10Ukrainian (uk)
Рівняння Лотки — Вольтерри
17
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Lotka–Volterra equations" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Lotka–Volterra equations
2
2French (fr)
Équations de prédation de Lotka-Volterra
2
3Simple English (simple)
Predator-prey equations
1
4Catalan (ca)
Equacions de Lotka-Volterra
0
5Danish (da)
Lotka-Volterra-ligningerne
0
6German (de)
Lotka-Volterra-Gleichungen
0
7Esperanto (eo)
Ekvacio de Lotka-Volterra
0
8Spanish (es)
Ecuaciones de Lotka-Volterra
0
9Estonian (et)
Lotka-Volterra mudel
0
10Persian (fa)
معادله لوتکا-ولتررا
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Lotka–Volterra equations" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Lotka–Volterra equations
492
2Ukrainian (uk)
Рівняння Лотки — Вольтерри
208
3Persian (fa)
معادله لوتکا-ولتررا
171
4French (fr)
Équations de prédation de Lotka-Volterra
89
5Polish (pl)
Równanie Lotki-Volterry
67
6Portuguese (pt)
Equação de Lotka-Volterra
60
7German (de)
Lotka-Volterra-Gleichungen
41
8Vietnamese (vi)
Phương trình Lotka–Volterra
34
9Chinese (zh)
洛特卡-沃爾泰拉方程
33
10Spanish (es)
Ecuaciones de Lotka-Volterra
32
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Equacions de Lotka-Volterra
daDanish
Lotka-Volterra-ligningerne
deGerman
Lotka-Volterra-Gleichungen
enEnglish
Lotka–Volterra equations
eoEsperanto
Ekvacio de Lotka-Volterra
esSpanish
Ecuaciones de Lotka-Volterra
etEstonian
Lotka-Volterra mudel
faPersian
معادله لوتکا-ولتررا
fiFinnish
Lotkan–Volterran yhtälö
frFrench
Équations de prédation de Lotka-Volterra
heHebrew
משוואות לוטקה-וולטרה
itItalian
Equazioni di Lotka-Volterra
jaJapanese
ロトカ・ヴォルテラの方程式
koKorean
로트카-볼테라 방정식
ltLithuanian
Lotkos–Volteros lygtys
nlDutch
Lotka-Volterravergelijking
nnNorwegian (Nynorsk)
Lotka-Volterra-likning
plPolish
Równanie Lotki-Volterry
ptPortuguese
Equação de Lotka-Volterra
ruRussian
Модель Лотки — Вольтерры
simpleSimple English
Predator-prey equations
srSerbian
Једначина Лотка–Волтера
svSwedish
Lotka–Volterras ekvation
ukUkrainian
Рівняння Лотки — Вольтерри
viVietnamese
Phương trình Lotka–Volterra
zhChinese
洛特卡-沃爾泰拉方程

Popularity rank trends

Best Rank English:
#37557
04.2025
Global:
#51579
04.2025

AI rank trends

Best Rank English:
#11290
11.2013
Global:
#20799
03.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Lotka–Volterra equations from Wikipedia articles about Naohito Fujiki, Fox, Predator–prey system, Competitive Lotka–Volterra equations and Vito Volterra. Whereas reading the article about Lotka–Volterra equations people most often go to Wikipedia articles on Competitive Lotka–Volterra equations, Alfred J. Lotka, Kolmogorov equations, Vito Volterra and Generalized Lotka–Volterra equation.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information