Lotka–Volterra equations (Q7970): Difference between revisions

Latest revision as of 11:30, 1 May 2023

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

Lotka-Volterra equation
predator–prey equation

Language	Label	Description	Also known as
English	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	Lotka-Volterra equation predator–prey equation

Statements

0 references

0 references

{\begin{aligned}{\frac {\mathrm {d} x}{\mathrm {d} t}}&=\alpha x-\beta xy\\{\frac {\mathrm {d} y}{\mathrm {d} t}}&=\delta xy-\gamma y\end{aligned}}

0 references

0 references

@@ Property / subclass of @@
+Kolmogorov equations
@@ Property / subclass of: Kolmogorov equations / rank @@
+Normal rank
@@ Property / defining formula @@
+ ${\begin{aligned}{\frac {\mathrm {d} x}{\mathrm {d} t}}&=\alpha x-\beta xy\\{\frac {\mathrm {d} y}{\mathrm {d} t}}&=\delta xy-\gamma y\end{aligned}}$ 
\begin{aligned}\frac{\mathrm dx}{\mathrm dt}&=\alpha x-\beta xy\\\frac{\mathrm dy}{\mathrm dt}&=\delta xy-\gamma y\end{aligned}
+Normal rank
@@ Property / has use @@
+mathematical model
@@ Property / has use: mathematical model / rank @@
+Normal rank
@@ Property / has use: mathematical model / qualifier @@
+of: predator–prey system

Lotka–Volterra equations (Q7970): Difference between revisions

${\begin{aligned}{\frac {\mathrm {d} x}{\mathrm {d} t}}&=\alpha x-\beta xy\\{\frac {\mathrm {d} y}{\mathrm {d} t}}&=\delta xy-\gamma y\end{aligned}}$

Latest revision as of 11:30, 1 May 2023

Statements

Sitelinks

⧼wikibase-sitelinks-mywikigroup⧽(0 entries)

Navigation menu

Lotka–Volterra equations (Q7970): Difference between revisions

d x d t = α x − β x y d y d t = δ x y − γ y {\displaystyle {\begin{aligned}{\frac {\mathrm {d} x}{\mathrm {d} t}}&=\alpha x-\beta xy\\{\frac {\mathrm {d} y}{\mathrm {d} t}}&=\delta xy-\gamma y\end{aligned}}}

Latest revision as of 11:30, 1 May 2023

Statements

Sitelinks

⧼wikibase-sitelinks-mywikigroup⧽(0 entries)

Navigation menu

Search

${\begin{aligned}{\frac {\mathrm {d} x}{\mathrm {d} t}}&=\alpha x-\beta xy\\{\frac {\mathrm {d} y}{\mathrm {d} t}}&=\delta xy-\gamma y\end{aligned}}$