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  2. Logistic function - Wikipedia

    en.wikipedia.org/wiki/Logistic_function

    Logistic function. A logistic function or logistic curve is a common S-shaped curve ( sigmoid curve) with the equation. where. is the carrying capacity, the supremum of the values of the function; is the logistic growth rate, the steepness of the curve; and. is the value of the function's midpoint.

  3. Carrying capacity - Wikipedia

    en.wikipedia.org/wiki/Carrying_capacity

    K is the logistic growth rate or steepness of the curve [19] and = / The logistic growth curve depicts how population growth rate and carrying capacity are inter-connected. As illustrated in the logistic growth curve model, when the population size is small, the population increases exponentially.

  4. 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

  5. Allee effect - Wikipedia

    en.wikipedia.org/wiki/Allee_effect

    Allee effects are classified by the nature of density dependence at low densities. If the population shrinks for low densities, there is a strong Allee effect. If the proliferation rate is positive and increasing then there is a weak Allee effect. The null hypothesis is that proliferation rates are positive but decreasing at low densities.

  6. Population model - Wikipedia

    en.wikipedia.org/wiki/Population_model

    One of the most basic and milestone models of population growth was the logistic model of population growth formulated by Pierre François Verhulst in 1838. The logistic model takes the shape of a sigmoid curve and describes the growth of a population as exponential, followed by a decrease in growth, and bound by a carrying capacity due to ...

  7. Malthusian growth model - Wikipedia

    en.wikipedia.org/wiki/Malthusian_growth_model

    A Malthusian growth model, sometimes called a simple exponential growth model, is essentially exponential growth based on the idea of the function being proportional to the speed to which the function grows. The model is named after Thomas Robert Malthus, who wrote An Essay on the Principle of Population (1798), one of the earliest and most ...

  8. Population dynamics - Wikipedia

    en.wikipedia.org/wiki/Population_dynamics

    In logistic populations however, the intrinsic growth rate, also known as intrinsic rate of increase (r) is the relevant growth constant. Since generations of reproduction in a geometric population do not overlap (e.g. reproduce once a year) but do in an exponential population, geometric and exponential populations are usually considered to be ...

  9. Logistic distribution - Wikipedia

    en.wikipedia.org/wiki/Logistic_distribution

    Logistic distribution. In probability theory and statistics, the logistic distribution is a continuous probability distribution. Its cumulative distribution function is the logistic function, which appears in logistic regression and feedforward neural networks. It resembles the normal distribution in shape but has heavier tails (higher kurtosis ...