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5.4: Solución logística

  • Page ID
    52735
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    Recordemos que la capacidad de carga es − r/s, también llamada K. Entonces donde quiera que aparezca − r/s, sustituya K, de la siguiente manera.

    \(N(t)\,=\frac{1}{(\frac{s}{r}\,+\frac{1}{N_0})\,e^{-rt}\,-\frac{s}{r}}\)

    \(\,=\frac{1}{(\,-\frac{1}{K}\,+\frac{1}{N_0})\,e^{-rt}\,+\frac{1}{K}}\)

    \(\,=\frac{K}{(\,-\,1\,+\frac{K}{N_0})\,e^{-rt}\,+\,1}\)

    \(\,=\frac{K}{(\frac{K\,-\,N_0}{N_0})\,e^{-rt}\,+\,1}\)

    Esta es la solución que se da en los libros de texto para el crecimiento logístico. Hay ligeras variaciones en la forma en que está escrito, pero son equivalentes.


    This page titled 5.4: Solución logística is shared under a CC BY-NC 4.0 license and was authored, remixed, and/or curated by Clarence Lehman, Shelby Loberg, & Adam Clark (University of Minnesota Libraries Publishing) via source content that was edited to the style and standards of the LibreTexts platform.