Search results
Results from the WOW.Com Content Network
In biomathematics, the Kolmogorov population model, also known as the Kolmogorov equations in population dynamics, is a mathematical framework developed by Soviet mathematician Andrei Kolmogorov in 1936 that generalizes predator-prey interactions and population dynamics. The model was an improvement over earlier predator-prey models, notably ...
Ratio-dependent predation may account for heterogeneity in large-scale natural systems in which predator efficiency decreases when prey is scarce. [1] The merit of ratio-dependent versus prey-dependent models of predation has been the subject of much controversy, especially between the biologists Lev R. Ginzburg and Peter A. Abrams. [3]
The Lotka–Volterra system of equations is an example of a Kolmogorov population model (not to be confused with the better known Kolmogorov equations), [2] [3] [4] which is a more general framework that can model the dynamics of ecological systems with predator–prey interactions, competition, disease, and mutualism.
Coupled with the kill rate, the predation rate drives the population dynamics of predation. [1]. This statistic is related to Predator–prey dynamics and may be influenced by several factors. In order for predation to occur, a predator and its prey must encounter one another. A low concentration of prey decreases the likelihood of such encounters.
The solution to these equations in the simple one-predator species, one-prey species model is a stable linked oscillation of population levels for both predator and prey. However, when time lags between respective population growths are modeled, these oscillations will tend to amplify, eventually leading to extinction of both species.
English: The Phase plot for Lotka-Volterra model for predator-prey dynamics for varying initial populations of the predator. The parameters are: alpha = 1.1 # prey growth rate beta = 0.4 # prey death rate gamma = 0.4 # predator death rate delta = 0.1 # predator growth rate . x0 = 10 # initial prey population
move to sidebar hide. From Wikipedia, the free encyclopedia
where N1 and N2 are the abundance of prey types 1 and 2 in the environment and P1 and P2 are the abundances of the same prey types in the predator's diet. c is the preference for prey type 1. If the value of c increases over time with N1/N2, prey switching is presumed to occur. The opposite of prey switching is when a predator eats ...