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  2. Lotka–Volterra equations - Wikipedia

    en.wikipedia.org/wiki/Lotka–Volterra_equations

    This, in turn, implies that the generations of both the predator and prey are continually overlapping. [1] 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 ...

  3. Huffaker's mite experiment - Wikipedia

    en.wikipedia.org/wiki/Huffaker's_mite_experiment

    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.

  4. Arditi–Ginzburg equations - Wikipedia

    en.wikipedia.org/wiki/Arditi–Ginzburg_equations

    Predators receive a reproductive payoff, e, for consuming prey, and die at rate u. Making predation pressure a function of the ratio of prey to predators contrasts with the prey-dependent Lotka–Volterra equations, where the per capita effect of predators on the prey population is simply a function of the magnitude of the prey population g(N).

  5. Optimal foraging theory - Wikipedia

    en.wikipedia.org/wiki/Optimal_foraging_theory

    Using these variables, the optimal diet model can predict how predators choose between two prey types: big prey 1 with energy value E 1 and handling time h 1, and small prey 2 with energy value E 2 and handling time h 2. In order to maximize its overall rate of energy gain, a predator must consider the profitability of the two prey types.

  6. Evolutionary game theory - Wikipedia

    en.wikipedia.org/wiki/Evolutionary_game_theory

    Examples include predator-prey competition and host-parasite co-evolution, as well as mutualism. Evolutionary game models have been created for pairwise and multi-species coevolutionary systems. [58] The general dynamic differs between competitive systems and mutualistic systems.

  7. Ecosystem model - Wikipedia

    en.wikipedia.org/wiki/Ecosystem_model

    A structural diagram of the open ocean plankton ecosystem model of Fasham, Ducklow & McKelvie (1990). [1]An ecosystem model is an abstract, usually mathematical, representation of an ecological system (ranging in scale from an individual population, to an ecological community, or even an entire biome), which is studied to better understand the real system.

  8. Prey detection - Wikipedia

    en.wikipedia.org/wiki/Prey_detection

    Experiments on blue jays suggest they form a search image for certain prey.. Visual predators may form what is termed a search image of certain prey.. Predators need not locate their host directly: Kestrels, for instance, are able to detect the faeces and urine of their prey (which reflect ultraviolet), allowing them to identify areas where there are large numbers of voles, for example.

  9. Predator–prey reversal - Wikipedia

    en.wikipedia.org/wiki/Predatorprey_reversal

    One type is where the prey confronts its predator and the interaction ends with no feeding. Two competing predators may interact and the larger predator will prey on the smaller. Smaller organisms may prey on larger organisms. Changing population densities may trigger a role reversal. In addition, adult prey may attack juvenile predators. [1]