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....

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...

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

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...

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

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

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

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...

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

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

them. Male elephant seals, Mirounga augustirostris, engage in fierce competitive displays in an attempt to control a large harem of females with which...

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

approximation Gillespie algorithm Balance equation Belousov–Zhabotinsky reaction Lotka–Volterra equations Chemical kinetics Gold, Victor, ed. (2019)...

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

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...

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

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

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

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

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

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

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...

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...