• The LotkaVolterra equations, also known as the LotkaVolterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently...
    34 KB (4,494 words) - 20:09, 15 July 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) - 00:58, 20 June 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 (5,601 words) - 02:35, 9 June 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) - 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
  • 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) - 12:32, 25 June 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) - 01:04, 12 July 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
  • the pesticides mathematically, the LotkaVolterra 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
  • 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 (3,349 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
  • 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
  • population can be modeled by coupled differential equations, such as the LotkaVolterra equations. Statistical hypothesis testing, is run on data from...
    163 KB (15,943 words) - 07:08, 3 July 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) - 18:18, 6 June 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...
    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 (LotkaVolterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized LotkaVolterra model Species...
    6 KB (660 words) - 17:21, 22 October 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 Metapopulation
    on the LotkaVolterra 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
  • Thumbnail for Photosynthesis
    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
  • Thumbnail for Competitive exclusion principle
    exclusion is predicted by mathematical and theoretical models such as the LotkaVolterra models of competition. However, for poorly understood reasons, competitive...
    23 KB (2,760 words) - 06:52, 29 May 2025
  • Thumbnail for Saprotrophic nutrition
    Predator–prey (LotkaVolterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized LotkaVolterra model Species...
    7 KB (767 words) - 14:16, 19 May 2025
  • Thumbnail for Ecosystem
    Predator–prey (LotkaVolterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized LotkaVolterra 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 LotkaVolterra equation describing predator–prey interactions...
    3 KB (378 words) - 16:22, 14 October 2024
  • Thumbnail for Fox
    nonlinear oscillation studied and led to the derivation of the LotkaVolterra 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 LotkaVolterra equations Bifurcation...
    14 KB (2,184 words) - 19:41, 19 June 2025