The competitive Lotka–Volterra equations are a simple model of the population dynamics of species competing for some common resource. They can be further...

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 equations are a set of equations which are more general than either the competitive or predator–prey examples of Lotka–Volterra types...

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

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

presence of one aids the population growth of the other. See Competitive Lotka–Volterra equations for further extensions of this model. Unified neutral theory...

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...

nearly untestable in reality. Competitive exclusion principle Competitive Lotka–Volterra equations Lotka–Volterra equation Gause, GF. 1932. Experimental...

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

ecological factors are constant. Competitive exclusion is predicted by mathematical and theoretical models such as the Lotka–Volterra models of competition. However...

evolutionist and the microbiologist in one personality. Competitive Lotka–Volterra equations Brazhnikova, MG. 1987. Obituary. The Journal of Antibiotics...

generalized Lotka–Volterra model. Theoretical ecology Community (ecology) Competition (biology) Lotka–Volterra equations Competitive Lotka–Volterra equations Generalized...

independently by Alfred J. Lotka in 1925 and Vito Volterra in 1926. An extension to these are the competitive Lotka–Volterra equations, which provide a simple...

This is a list of scientific equations named after people (eponymous equations). Contents A B C D E F G H I J K L M N O P R S T V W Y Z See also References...

trophic interactions to biogeochemistry. The model is related to the Lotka–Volterra equations. It assumes that prokaryotes adopt one of two strategies when competing...

can form cycles, which are usually mathematically modelled as Lotka–Volterra equations. In natural ecosystems, predator population growth lags just behind...

between species in competition (e.g. where αij parameters in Lotka-Volterra competition equations are non-zero). Frequency-dependent selection can also lead...

suffers from being crushed. Amensalism also includes strongly asymmetrical competitive interactions, such as has been observed between the Spanish ibex and...

of larger males. When smaller males got larger, and their calls more competitive, then they started calling and competing directly for mates. In many...

Dianna K. (July 24, 1984). "The importance of form: Differences in competitive ability, resistance to consumers and environmental stress in an assemblage...

gain for the invader is a loss for the native. However, such unilateral competitive superiority (and extinction of native species with increased populations...

hybrids appear to have higher fitness than native iguanas, leading to competitive outcompetition and replacement. Numerous populations have already become...

two species. Abiotic factors such as salinity can give one species a competitive advantage over another, creating pressures that lead to speciation and...

(14 March 2022). "Evolution of innate behavioral strategies through competitive population dynamics". PLOS Computational Biology. 18 (3): e1009934. Bibcode:2022PLSCB...

succession proceeds, these species will tend to be replaced by more competitive (k-selected) species. Some of these trends do not apply in all cases...

who live in similar areas typically compete with each other. The Lotka–Volterra equation states that two competing species can coexist when intra-specific...

pattern. For instance, trees have traits such as longevity and strong competitiveness that characterise them as K-strategists. In reproduction, however,...

cycle' was replaced by 'food web' in a subsequent ecological text. Alfred J. Lotka brought in many theoretical concepts applying thermodynamic principles to...

has media related to Nocturnality. Adaptation Antipredator adaptation Competitive exclusion principle Crepuscular Crypsis Diurnality List of nocturnal...

declines. Due to lack of predation the prey population increases. See Lotka–Volterra equations for more details on this. A well-known example of this is lynx-hare...