• The LotkaVolterra equations, also known as the LotkaVolterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently...
    34 KB (4,490 words) - 10:11, 9 May 2025
  • generalized LotkaVolterra equation to include trophic interactions. The form is similar to the LotkaVolterra equations for predation in that the equation for...
    21 KB (3,114 words) - 15:07, 27 August 2024
  • generalized LotkaVolterra equations are a set of equations which are more general than either the competitive or predator–prey examples of LotkaVolterra types...
    12 KB (1,821 words) - 15:43, 26 May 2025
  • Statistics LotkaVolterra equations (for predation) LotkaVolterra 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
  • Thumbnail for Random generalized Lotka–Volterra model
    The random generalized LotkaVolterra 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
  • Thumbnail for Mutualism (biology)
    the simplest frameworks for modeling species interactions is the LotkaVolterra equations. In this model, the changes in population densities of the two...
    48 KB (5,595 words) - 18:32, 21 May 2025
  • Thumbnail for Vito Volterra
    dei Lincei. Volterra (crater) Volterra's function LotkaVolterra 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...
    8 KB (1,496 words) - 19:50, 9 March 2025
  • Thumbnail for Interspecific competition
    been formalized in a mathematical model called the Competitive LotkaVolterra equations, which creates a theoretical prediction of interactions. It combines...
    25 KB (3,337 words) - 17:57, 25 May 2025
  • Examples of nonlinear differential equations are the Navier–Stokes equations in fluid dynamics and the LotkaVolterra equations in biology. One of the greatest...
    21 KB (2,645 words) - 22:34, 20 April 2025
  • Thumbnail for Ecosystem model
    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 LotkaVolterra 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 LotkaVolterra 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 LotkaVolterra equations. Statistical hypothesis testing, is run on data from...
    163 KB (15,938 words) - 22:50, 25 May 2025
  • Thumbnail for Predation
    The LotkaVolterra 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...
    5 KB (103 words) - 09:21, 8 August 2024
  • da Volterra, Italian painter Vito Volterra (1860–1940), Italian mathematician LotkaVolterra equations, also known as the predator–prey equations Smith–Volterra–Cantor...
    1 KB (174 words) - 20:48, 3 May 2024
  • Thumbnail for Photosynthesis
    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
  • Thumbnail for Chemosynthesis
    Predator–prey (LotkaVolterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized LotkaVolterra model Species...
    12 KB (1,197 words) - 21:31, 16 February 2025
  • Predator–prey (LotkaVolterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized LotkaVolterra 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
  • growth equation: d N d t = r N ( 1 − N K ) {\displaystyle {\frac {dN}{dt}}=rN\left(1-{\frac {N}{K}}\right)\,} Competitive LotkaVolterra equations: d N...
    6 KB (734 words) - 06:29, 7 February 2025
  • Thumbnail for Bacteriophage
    Predator–prey (LotkaVolterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized LotkaVolterra model Species...
    84 KB (9,395 words) - 08:07, 24 May 2025
  • relationship between a population and its food source illustrated by the LotkaVolterra equation. An experimental example of this was shown in an eight-year study...
    21 KB (2,374 words) - 09:11, 24 May 2025
  • Thumbnail for Biomagnification
    Predator–prey (LotkaVolterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized LotkaVolterra model Species...
    11 KB (1,284 words) - 01:10, 24 May 2025
  • Thumbnail for Detritus
    Predator–prey (LotkaVolterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized LotkaVolterra model Species...
    15 KB (2,034 words) - 20:47, 24 May 2025
  • Thumbnail for Soil food web
    interaction web that uses differential equations to describe every link in the topological web. Using LotkaVolterra equations, that describe predator-prey interactions...
    27 KB (3,653 words) - 20:17, 24 May 2025
  • differential equations include the LotkaVolterra 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 LotkaVolterra equations, which are used in biology to model predator-prey interaction. These equations have...
    7 KB (1,128 words) - 02:02, 26 May 2025