The Lotka–Volterra equations, also known as the Lotka–Volterra predator–prey model, are a pair of first-order nonlinear differential equations, frequently...

generalized Lotka–Volterra equation to include trophic interactions. The form is similar to the Lotka–Volterra equations for predation in that the equation for...

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...

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...

The random generalized Lotka–Volterra model (rGLV) is an ecological model and random set of coupled ordinary differential equations where the parameters...

the simplest frameworks for modeling species interactions is the Lotka–Volterra equations. In this model, the changes in population densities of the two...

dei Lincei. Volterra (crater) Volterra's function Lotka–Volterra equation Smith–Volterra–Cantor set Volterra integral equation Volterra series Product...

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...

been formalized in a mathematical model called the Competitive Lotka–Volterra equations, which creates a theoretical prediction of interactions. It combines...

Examples of nonlinear differential equations are the Navier–Stokes equations in fluid dynamics and the Lotka–Volterra equations in biology. One of the greatest...

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...

The continuous replicator equation on n {\displaystyle n} types is equivalent to the Generalized Lotka–Volterra equation in n − 1 {\displaystyle n-1}...

the pesticides mathematically, the Lotka–Volterra equation, a set of first-order, nonlinear, differential equations, which are frequently used to describe...

This is a list of equations, by Wikipedia page under appropriate bands of their field. The following equations are named after researchers who discovered...

The Lotka–Volterra equations rely on several simplifying assumptions, and they are structurally unstable, meaning that any change in the equations can...

population can be modeled by coupled differential equations, such as the Lotka–Volterra equations. Statistical hypothesis testing, is run on data from...

Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...

da Volterra, Italian painter Vito Volterra (1860–1940), Italian mathematician Lotka–Volterra equations, also known as the predator–prey equations Smith–Volterra–Cantor...

on the Lotka–Volterra equation, which was formulated in the mid-1920s, but no further application had been conducted. The Lotka-Volterra equation suggested...

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...

Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...

efficiency, as in the Lotka-Volterra model. In studies of the populations of two species, the Lotka-Volterra system of equations has been extensively used...

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...

Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...

Predator–prey (Lotka–Volterra) equations Recruitment Small population size Stability Resilience Resistance Random generalized Lotka–Volterra model Species...

the ratio of prey to predators contrasts with the prey-dependent Lotka–Volterra equations, where the per capita effect of predators on the prey population...

interaction web that uses differential equations to describe every link in the topological web. Using Lotka–Volterra equations, that describe predator-prey interactions...

manipulated, but is rare in nature. Carnivore Ecosystem model Herbivore Lotka–Volterra equations Predator satiation Holling, C. S. (May 1959). "The components of...

...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...

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...