Im wesentlichen unterscheidet man 4 Arten für Wachstums- und Zerfallsvorgänge:[br][list][br][*]lineares Wachstum oder linearen Zerfall[/*][*]exponentielles Wachstum oder exponentiellen Zerfall[/*][*]beschränktes Wachstum oder beschränkten Zerfall[/*][*]logistisches Wachstum[/*][br][/list]Eine logistische Zerfallskurve ist vielleicht auch denkbar, dafür gibt es aber kaum Beispiele aus dem Leben.[br][br]Im Folgenden werden die Funktionsgleichungen der Wachstumsarten vorgestellt. Dabei werden folgende Bezeichnungen für die Parameter verwendet:[br][table][br][tr][td][math]f_0[/math][/td][td]Der Startwert. Es gilt [math]f_0=f(0)[/math][/td][/tr][br][tr][td][math]k[/math][/td][td]Dieser Parameter steht für die Geschwindigkeit des Vorgangs. [/td][/tr][br][tr][td][math]G[/math][/td][td]Dies ist eine obere oder untere Grenze eines Wachstums- oder Zerfallsvorgangs, die niemals über- oder unterschritten wird.[/td][/tr][br][/table][br]
Beispiele:[br][list][*]Ein Haar wächst jede Woche [math]2\,mm[/math].[/*][*]Eine brennende Kerze wird jede Stunde [math]2\,cm[/math] kürzer.[/*][/list][br][img]data:image/png;base64,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[/img]oder [img]data:image/png;base64,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[/img][br]Funktionsgleichung: [math]f(t)=k\cdot t+f_0[/math][br][math]k>0\Rightarrow[/math] Lineares Wachstum[br][math]k<0\Rightarrow[/math] linearer Zerfall[br][br]Differentialgleichung: [math]f'(t)=k[/math][br][br]In Worten die Änderungsrate ist eine konstante Zahl.
Beispiele:[br][list][*]Die Anzahl Bakterien verdoppelt sich jede Stunde (nimmt also jede Stunde um [math]100\%[/math] zu)[/*][*]SIchtweite: Eine Lampe wird von einem Beobachter entfernt. Die Helligkeit verringert sich alle [math]100\,m[/math] um [math]30\%[/math][/*][/list][img]data:image/png;base64,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[/img] oder [img]data:image/png;base64,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[/img][br][br][b]Exponentielle Wachstums- oder Zerfallsvorgänge sind imme dann vorhanden, wenn sich der Bestand prozentual ändert.[/b][br][br]Funktionsgleichung: [math]f(t)=f_0\cdot e^{k\cdot t}=f_0\cdot a^t[/math][br][math]k>0[/math] oder [math]a>1[/math] [math]\Rightarrow[/math] Exponentielles Wachstum[br][math]k<0[/math] oder [math]a<1[/math] [math]\Rightarrow[/math] Exponentieller Zerfall[br][br][math]k[/math] nennt sich [b][color=#980000]Wachstumskonstante[/color][/b][br][math]a[/math] nennt sich [b][color=#980000]Wachstumsfaktor[/color][/b][br][br]Differentialgleichung: [math]f'(t)=k\cdot f(t)[/math][br][br]In Worten: Die Änderungsrate ist proportional zum Bestand.
Beispiele:[br][list][*]Ein heißes Getränk kühlt sich ab. Die [b]Temperaturdifferenz[/b] zur Raumtemperatur sinkt alle 2 Minuten um [math]5\%[/math][/*][*]Ein kaltes Getränk aus dem Kühlschrank wird wärmer sich ab. Die [b]Temperaturdifferenz[/b] zur Raumtemperatur sinkt alle 2 Minuten um [math]5\%[/math] [/*][/list][br][img]data:image/png;base64,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[/img] oder [img]data:image/png;base64,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[/img][br][br]Funktionsgleichung: [math]f(t)=G+(f_0-G)\cdot e^{-k\cdot t}[/math][br]Hier ist [math]k[/math] immer eine positive Zahl[br][math]G > f_0 \Rightarrow[/math] beschränktes Wachstum[br][math]G < f_0 \Rightarrow[/math] beschränkter Zerfall[br][br]Differentialgleichung: [math]f(t)=k\cdot(G-f(t))[/math][br][br]In Worten: die Änderungsrate ist proportional zur Differenz aus einer Grenze und dem Bestand.
Beispiel:[br][list][*]Fische vermehren sich in einem kleinen Teich. Zuerst wächst die Anzahl schnell (wie in einem großen See) dann bleibt die Anzahl konstant, weil für mehr Fische nicht genug Nahrung vorhanden ist.[/*][/list][img]data:image/png;base64,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[/img][br][br]Funktionsgleichung: [math]f(t)=\frac{f_0\cdot G}{f_0+(G-f_0)\cdot e^{-k\cdot G\cdot t}}=\frac{G}{1+(\frac{G}{f_0}-1)\cdot e^{-k\cdot G\cdot t}}[/math][br][br]Differentialgleichung: [math]f'(t)=k\cdot f(t)\cdot(G-f(t))[/math]