File:Lotka-Volterra orbits.png
Page contents not supported in other languages.
Lotka-Volterra_orbits.png (576 × 342 pixels, file size: 56 KB, MIME type: image/png)
This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
DescriptionLotka-Volterra orbits.png |
English: Plot of the solution for the Lotka-Volterra equations for several initial condition. |
Date | |
Source | https://twitter.com/j_bertolotti/status/1036547606586040321 |
Author | Jacopo Bertolotti |
Permission (Reusing this file) |
https://twitter.com/j_bertolotti/status/1030470604418428929 |
Mathematica 11.0 code
\[Alpha] = 2/3; \[Beta] = 4/3; \[Delta] = 1; \[Gamma] = 1; solutions = Reap[For[j = 0.1, j <= 1, j = j + 0.1, Sow[ sol = NDSolveValue[{x'[ t] == \[Alpha] x[t] - \[Beta] x[t] y[t], y'[t] == \[Delta] x[t] y[t] - \[Gamma] y[t], x[0] == \[Gamma]/\[Delta], y[0] == (\[Alpha] + j)/\[Beta]}, {x, y}, {t, 0, 10}] ]; ];][[2, 1]]; ParametricPlot[ Table[{solutions[[j, 1]][t], solutions[[j, 2]][t]}, {j, 1, 10}], {t, 0, 10}, PlotRange -> {{0, 2.3}, {0, 1.3}}, PlotStyle -> Black, Axes -> False, Frame -> True, LabelStyle -> {Black, Bold}, FrameLabel -> {"Preys (thousands)", "Predators (thousands)"}, ImageSize -> Large]
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
This file, which was originally posted to
https://twitter.com/j_bertolotti/status/1036547606586040321, was reviewed on 29 October 2018 by reviewer Ronhjones, who confirmed that it was available there under the stated license on that date.
|
Items portrayed in this file
depicts
some value
3 September 2018
image/png
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 09:38, 3 September 2018 | 576 × 342 (56 KB) | Berto | User created page with UploadWizard |
File usage
The following page uses this file:
Metadata
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
If the file has been modified from its original state, some details may not fully reflect the modified file.
Horizontal resolution | 28.35 dpc |
---|---|
Vertical resolution | 28.35 dpc |
Software used |
|
Date and time of digitizing |
|
Retrieved from "https://simple.wikipedia.org/wiki/File:Lotka-Volterra_orbits.png"