logistic equation of growth

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• Logistic 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 …   Wikipedia

• Logistic 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… …   Wikipedia

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

• Generalised 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 =… …   Wikipedia

• Structural 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… …   Wikipedia

• Maximum 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… …   Wikipedia

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

• Mathematical 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… …   Wikipedia

• Population 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… …   Wikipedia

• Population 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… …   Wikipedia

• Pierre François Verhulst — (October 28, 1804, Brussels, Belgium ndash; February 15, 1849, Brussels, Belgium) was a mathematician and a doctor in number theory from the University of Ghent in 1825. Verhulst published in 1838 the logistic equation:: frac{dN}{dt} = r N left(1 …   Wikipedia