The Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently...
34 KB (4,494 words) - 20:09, 15 July 2025
generalized Lotka–Volterra equation to include trophic interactions. The form is similar to the Lotka–Volterra equations for predation in that the equation for...
21 KB (3,114 words) - 15:07, 27 August 2024
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...
12 KB (1,821 words) - 15:43, 26 May 2025
Statistics Lotka–Volterra equations (for predation) Lotka–Volterra inter-specific competition equations Lotka's law (a special case of Zipf's law) Lotka's principle...
13 KB (1,377 words) - 05:33, 8 April 2025
The random generalized Lotka–Volterra model (rGLV) is an ecological model and random set of coupled ordinary differential equations where the parameters...
15 KB (2,056 words) - 00:58, 20 June 2025
Mutualism (biology) (redirect from Mutualism and the Lotka–Volterra equation)
the simplest frameworks for modeling species interactions is the Lotka–Volterra equations. In this model, the changes in population densities of the two...
48 KB (5,601 words) - 02:35, 9 June 2025
dei Lincei. Volterra (crater) Volterra's function Lotka–Volterra equation Smith–Volterra–Cantor set Volterra integral equation Volterra series Product...
27 KB (2,397 words) - 14:09, 11 July 2025
In mathematics, the Volterra integral equations are a special type of integral equations. They are divided into two groups referred to as the first and...
8 KB (1,496 words) - 10:11, 4 June 2025
Nonlinear system (redirect from Nonlinear simultaneous equations)
Examples of nonlinear differential equations are the Navier–Stokes equations in fluid dynamics and the Lotka–Volterra equations in biology. One of the greatest...
21 KB (2,645 words) - 12:32, 25 June 2025
Ecosystem model (section The Lotka–Volterra equations)
model of Alfred J. Lotka (1925) and Vito Volterra (1926). This model takes the form of a pair of ordinary differential equations, one representing a...
23 KB (2,502 words) - 01:04, 12 July 2025
The continuous replicator equation on n {\displaystyle n} types is equivalent to the Generalized Lotka–Volterra equation in n − 1 {\displaystyle n-1}...
14 KB (2,479 words) - 19:51, 24 May 2025
the pesticides mathematically, the Lotka–Volterra equation, a set of first-order, nonlinear, differential equations, which are frequently used to describe...
8 KB (1,154 words) - 01:43, 6 July 2025
age-structured population growth, probably one of the most important equations is the Euler–Lotka equation. Based on the age demographic of females in the population...
8 KB (1,589 words) - 00:03, 12 May 2023
been formalized in a mathematical model called the Competitive Lotka–Volterra equations, which creates a theoretical prediction of interactions. It combines...
25 KB (3,349 words) - 04:36, 2 June 2025
This is a list of equations, by Wikipedia page under appropriate bands of their field. The following equations are named after researchers who discovered...
5 KB (103 words) - 09:21, 8 August 2024
Population model (section Equations)
growth equation: d N d t = r N ( 1 − N K ) {\displaystyle {\frac {dN}{dt}}=rN\left(1-{\frac {N}{K}}\right)\,} Competitive Lotka–Volterra equations: d N...
6 KB (734 words) - 06:29, 7 February 2025
population can be modeled by coupled differential equations, such as the Lotka–Volterra equations. Statistical hypothesis testing, is run on data from...
163 KB (15,943 words) - 07:08, 3 July 2025
Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...
12 KB (1,197 words) - 18:18, 6 June 2025
The Lotka–Volterra equations rely on several simplifying assumptions, and they are structurally unstable, meaning that any change in the equations can...
107 KB (11,399 words) - 16:04, 15 July 2025
...1S. doi:10.1016/S0167-2789(00)00094-4. Weisstein, Eric W. "Lotka-Volterra Equations". mathworld.wolfram.com. Retrieved 2024-06-02. Frank, Steven A...
39 KB (2,094 words) - 05:37, 24 June 2025
Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...
6 KB (660 words) - 17:21, 22 October 2024
da Volterra, Italian painter Vito Volterra (1860–1940), Italian mathematician Lotka–Volterra equations, also known as the predator–prey equations Smith–Volterra–Cantor...
1 KB (174 words) - 20:48, 3 May 2024
on the Lotka–Volterra equation, which was formulated in the mid-1920s, but no further application had been conducted. The Lotka-Volterra equation suggested...
14 KB (1,741 words) - 04:19, 22 August 2024
Photosynthesis (redirect from Photosynthesis equation)
the equation for this process is: CO2carbon dioxide + 2H2Owater + photonslight energy → [CH2O]carbohydrate + O2oxygen + H2Owater This equation emphasizes...
110 KB (11,844 words) - 20:46, 13 July 2025
exclusion is predicted by mathematical and theoretical models such as the Lotka–Volterra models of competition. However, for poorly understood reasons, competitive...
23 KB (2,760 words) - 06:52, 29 May 2025
Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...
7 KB (767 words) - 14:16, 19 May 2025
Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...
63 KB (6,926 words) - 08:19, 15 June 2025
Moser (1975) and is named after Vito Volterra. The Volterra lattice is a special case of the generalized Lotka–Volterra equation describing predator–prey interactions...
3 KB (378 words) - 16:22, 14 October 2024
nonlinear oscillation studied and led to the derivation of the Lotka–Volterra equation. Fox meat is edible, though it is not considered a common cuisine...
42 KB (4,326 words) - 05:28, 3 June 2025
equations of single species Spread of an infection between two species Classical electrodynamics Volterra integral equation Lotka–Volterra equations Bifurcation...
14 KB (2,184 words) - 19:41, 19 June 2025