File:Delay-diff-eq-One-species-evolution.png
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English: Plot of the delay diff. equation dx(t)/dt=-0.1x(t)+0.5x(t-3) with the initial conditions x=0 at -3=<t<0 and x=10 at t=0. The equation is a fairly simple approximation of the density of adult individuals of one species, where 0.1 corresponds to the mortality, 0.5 the reproduction rate times the propability of surviving the period 3, which is the time needed to grow adult. One sees that the initial discontinuity is conducted to higher derivatives at t=3,6,9 etc.
Deutsch: Plot der retardierten DGL dx(t)/dt=-0.1x(t)+0.5x(t-3) mit den Anfangswerten bei und bei . Die Gleichung approxmimiert versimpelt die Entwicklung der Dichte geschlechtsreifer Individuen einer Art, wobei 0.1 der Sterberate, 0.5 dem Produkt aus Geburtsrate und Überlebenswahrscheinlichkeit des Zeitintervals 3, der Dauer bis zur Geschlechtsreife, entspricht. Man sieht das Abklingen der anfänglichen Diskontinuität zu höheren Ableitungen bei usw. |
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| Source | Own work |
| Author | Rappel1 |
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
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| current | 14:39, 22 March 2009 | | 994 × 754 (8 KB) | Rappel1 (talk | contribs) | {{Information |Description={{en|1=Plot of the delay diff. equation dx(t)/dt=-0.1x(t)+0.5x(t-3) with the initial conditions x=0 at -3=<t<0 and x=10 at t=0. The equation is a fairly simple approximation of the density of adult individuals of one species, wh |
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