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 (4,490 words) - 10:11, 9 May 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) - 14:08, 26 May 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 (5,595 words) - 18:32, 21 May 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) - 05:25, 11 March 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...
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been formalized in a mathematical model called the Competitive Lotka–Volterra equations, which creates a theoretical prediction of interactions. It combines...
25 KB (3,337 words) - 17:57, 25 May 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) - 22:34, 20 April 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) - 19:24, 27 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 (1,168 words) - 20:44, 4 January 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
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
population can be modeled by coupled differential equations, such as the Lotka–Volterra equations. Statistical hypothesis testing, is run on data from...
163 KB (15,938 words) - 22:50, 25 May 2025
The Lotka–Volterra equations rely on several simplifying assumptions, and they are structurally unstable, meaning that any change in the equations can...
110 KB (11,649 words) - 13:14, 25 May 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...
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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
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 (11,820 words) - 00:42, 24 May 2025
Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...
12 KB (1,197 words) - 21:31, 16 February 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
...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) - 11:09, 21 May 2025
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
Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...
84 KB (9,395 words) - 08:07, 24 May 2025
relationship between a population and its food source illustrated by the Lotka–Volterra equation. An experimental example of this was shown in an eight-year study...
21 KB (2,374 words) - 09:11, 24 May 2025
Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...
11 KB (1,284 words) - 01:10, 24 May 2025
Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...
15 KB (2,034 words) - 20:47, 24 May 2025
interaction web that uses differential equations to describe every link in the topological web. Using Lotka–Volterra equations, that describe predator-prey interactions...
27 KB (3,653 words) - 20:17, 24 May 2025
differential equations include the Lotka–Volterra equations. A differential system is a means of studying a system of partial differential equations using geometric...
7 KB (1,160 words) - 07:34, 25 May 2025
key equations of the model and in fact are the Lotka–Volterra equations, which are used in biology to model predator-prey interaction. These equations have...
7 KB (1,128 words) - 02:02, 26 May 2025