What does the Lotka-Volterra predator/prey model tell us about the relationship between predator and prey populations over time?

The entire term, ca’PN, tells us that increases in the predator population are proportional to the product of predator and prey abundance. Turning to the prey population, we would expect that without predation, the numbers of prey would increase exponentially.

What is the Lotka-Volterra competition model?

The Lotka-Volterra competition model describes the outcome of competition between two species over ecological time. Because one species can competitively exclude another species (Figure 1) in ecological time, the competitively-inferior species may increase the range of food types that it eats in order to survive.

Which type of functional response is included in the Lotka-Volterra model of predator/prey dynamics?

linear
The Type 1 functional response is linear, as in the Lotka-Volterra model. Specify a Type 1 functional response, so that the major difference between this model and the L-V model is that prey growth is density dependent, rather than exponential, in the absence of predation.

Does the basic Lotka-Volterra predator/prey model predict stable equilibria?

While the Lotka-Volterra predator-prey model predicts a neutrally stable equilibrium with oscillating population densities, a density-dependent predator attack rate is known to stabilize the equilibrium.

How are predator and prey populations related in Lotka Volterra model?

Here the term a’PNreflects the fact that losses from the prey population due to predation are proportional to the product of predator and prey abundances. Equations (2) and (4) describe predator and prey population dynamics in the presence of one another, and together make up the Lotka-Volterra predator-prey model.

What are the equations of Lotka and Volterra?

The predator/prey models (equations) of Lotka and Volterra are based upon two very simple propositions: the birth rate of the predator (N1) will increase as the number of prey (N2) increases, while the death rate of the prey will increase as the number of predators increases.

Can a Lotka Volterra model predict interspecific competition?

The Lotka–Volterra model can theoretically predict the outcome of interspecific competition between two species.

How are Lotka Volterra and Rosenzweig – MacArthur models used?

Both the Lotka–Volterra and Rosenzweig–MacArthur models have been used to explain the dynamics of natural populations of predators and prey, such as the lynx and snowshoe hare data of the Hudson’s Bay Company and the moose and wolf populations in Isle Royale National Park.