logistic equation of growth

  • 1Logistic function — A logistic function or logistic curve is the most common sigmoid curve. It modelsthe S curve of growth of some set P . The initial stage of growth is approximately exponential; then, as saturation begins, the growth slows, and at maturity, growth …

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  • 2Logistic map — The logistic map is a polynomial mapping of degree 2, often cited as an archetypal example of how complex, chaotic behaviour can arise from very simple non linear dynamical equations. The map was popularized in a seminal 1976 paper by the… …

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  • 3Exponential growth — The graph illustrates how exponential growth (green) surpasses both linear (red) and cubic (blue) growth.   Exponential growth …

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  • 4Generalised logistic function — The generalized logistic curve or function, also known as Richards curve is a widely used and flexible sigmoid function for growth modelling, extending the well known logistic curve.:Y = A + { K over (1 + Q e^{ B (t M)}) ^ {1 / u} }where Y =… …

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  • 5Structural equation modeling — (SEM) is a statistical technique for testing and estimating causal relations using a combination of statistical data and qualitative causal assumptions. This definition of SEM was articulated by the geneticist Sewall Wright (1921),[1] the… …

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  • 6Maximum sustainable yield — In population ecology and economics, maximum sustainable yield or MSY is, theoretically, the largest yield (or catch) that can be taken from a species stock over an indefinite period. Fundamental to the notion of sustainable harvest, the concept… …

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  • 7Theoretical ecology — Mathematical models developed in theoretical ecology predict complex food webs are less stable than simple webs.[1]:75–77[2]:64 …

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  • 8Mathematical constant — A mathematical constant is a special number, usually a real number, that is significantly interesting in some way .[1] Constants arise in many different areas of mathematics, with constants such as e and π occurring in such diverse contexts as… …

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  • 9Population modeling — is an application of statistical models to the study of changes in populations.Models allow us to better understand how complex interactions and processes work. Modeling of dynamic interactions in nature can provide a manageable way of… …

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  • 10Population dynamics of fisheries — A fishery is an area with an associated fish or aquatic population which is harvested for its commercial or recreational value. Fisheries can be wild or farmed. Population dynamics describes the ways in which a given population grows and shrinks… …

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