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  2. Logistic function - Wikipedia

    en.wikipedia.org/wiki/Logistic_function

    The standard logistic function is the logistic function with parameters =, =, =, which yields = + = + = / / + /.In practice, due to the nature of the exponential function, it is often sufficient to compute the standard logistic function for over a small range of real numbers, such as a range contained in [−6, +6], as it quickly converges very close to its saturation values of 0 and 1.

  3. Source–sink dynamics - Wikipedia

    en.wikipedia.org/wiki/Source–sink_dynamics

    Source–sink dynamics is a theoretical model used by ecologists to describe how variation in habitat quality may affect the population growth or decline of organisms.. Since quality is likely to vary among patches of habitat, it is important to consider how a low quality patch might affect a population.

  4. Competitive Lotka–Volterra equations - Wikipedia

    en.wikipedia.org/wiki/Competitive_Lotka...

    This model can be generalized to any number of species competing against each other. One can think of the populations and growth rates as vectors, α 's as a matrix.Then the equation for any species i becomes = (=) or, if the carrying capacity is pulled into the interaction matrix (this doesn't actually change the equations, only how the interaction matrix is defined), = (=) where N is the ...

  5. Malthusian growth model - Wikipedia

    en.wikipedia.org/wiki/Malthusian_growth_model

    Logistic function for the mathematical model used in Population dynamics that adjusts growth rate based on how close it is to the maximum a system can support; Albert Allen Bartlett – a leading proponent of the Malthusian Growth Model; Exogenous growth model – related growth model from economics; Growth theory – related ideas from economics

  6. Logistic map - Wikipedia

    en.wikipedia.org/wiki/Logistic_map

    Logistic function, solution of the logistic map's continuous counterpart: the Logistic differential equation. Lyapunov stability#Definition for discrete-time systems; Malthusian growth model; Periodic points of complex quadratic mappings, of which the logistic map is a special case confined to the real line

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  8. Von Bertalanffy function - Wikipedia

    en.wikipedia.org/wiki/Von_Bertalanffy_function

    It is a special case of the generalised logistic function. The growth curve is used to model mean length from age in animals. [1] The function is commonly applied in ecology to model fish growth [2] and in paleontology to model sclerochronological parameters of shell growth. [3] The model can be written as the following:

  9. Maximum sustainable yield - Wikipedia

    en.wikipedia.org/wiki/Maximum_sustainable_yield

    Under the logistic model, population growth rate between these two limits is most often assumed to be sigmoidal (Figure 1). There is scientific evidence that some populations do grow in a logistic fashion towards a stable equilibrium – a commonly cited example is the logistic growth of yeast. The equation describing logistic growth is: [13]

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