What does the Lotka-Volterra equation predict?

What does the Lotka-Volterra equation predict?

The Lotka–Volterra equations predict that the winner of exploitative competition for resources in stable environments should be the species with the greater K or carrying capacity, that is, the more efficient user of the resource.

What does B represent in the Lotka-Volterra model?

b is the death rate per encounter of rabbits due to predation, e is the efficiency of turning predated rabbits into foxes.

Which equation are the Lotka-Volterra equations based off of?

History. The Lotka–Volterra predator–prey model was initially proposed by Alfred J. Lotka in the theory of autocatalytic chemical reactions in 1910. This was effectively the logistic equation, originally derived by Pierre François Verhulst.

What does Alpha mean in Lotka-Volterra?

the coefficient of competition
The Lotka-Volterra model incorporates interspecific competition by using a parameter called alpha. Alpha is the coefficient of competition (or competition coefficient) and measures the competitive effect of one species on another.

What is D in Lotka-Volterra?

– B = death rate per encounter of rabbits due to predation. – C = natural death rate of lynxes in the absence of food (rabbits). – D = the efficiency of turning predated rabbits into new lynxes. Page 11. Lotka-Volterra Model.

What does R mean in Lotka Volterra?

r = prey population growth rate. b = attack rate. P = number of predators. c = predator population growth rate due to predation.

What is K in Lotka Volterra?

The logistic population model, when used by ecologists often takes the following form: Here x is the size of the population at a given time, r is inherent per-capita growth rate, and K is the carrying capacity.

Why is lotka Volterra equation for competition is important?

The Lotka-Volterra model was developed to allow ecologists to predict the potential outcome when two species are in competition for the same resources.

How do you interpret competition coefficients?

The competition coefficient α is the effect on species 1 of species 2 (also written as α12): – If α <1 then interspecific competition has less impact than intraspecific competition. – If α >1 then interspecific competition has more impact. Conversely, β is the effect on species 2 of species 1 (also written as α21):

What is the predator to prey ratio?

The number of predators in relation to the number of prey can be expressed as a simple ratio (the predator–prey ratio [PPR]), which has been used to infer the relative strength of limitation caused by predation or nutrition.

How does a predator/prey relationship work?

Predator-prey relations refer to the interactions between two species where one species is the hunted food source for the other. The organism that feeds is called the predator and the organism that is fed upon is the prey. There are literally hundreds of examples of predator-prey relations.

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