File:SIS System Graph.svg
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Size of this PNG preview of this SVG file: 799 × 600 pixels. Other resolutions: 320 × 240 pixels | 639 × 480 pixels | 1,023 × 768 pixels | 1,280 × 961 pixels | 2,560 × 1,922 pixels | 1,136 × 853 pixels.
Original file (SVG file, nominally 1,136 × 853 pixels, file size: 165 KB)
Captions
Captions
Yellow=Susceptible, Maroon=Infected
Summary
[edit]
| Description |
English: Basic SIS system: dS/dt = -βIS/N + γI, dI/dt = βIS/N - γI
Initial Conditions: S(0) = 499, I(0) = 1 Parameters: β=0.001, γ=0.1, N=1, t∈[0,60], step size=0.5 |
| Date | |
| Source | File:Sissys.png |
| Author | https://commons.wikimedia.org/wiki/User:Bye~commonswiki |
Graph generated from Mathematica
Clear[IC, a, b, h, i, m, n, f, NN, β, γ];
IC = {499, 1}; m = Length[IC];
a = 0; b = 60; h = 0.5;
NN = 1;
n = (b - a)/h;
β = 0.001; γ = 0.1;
f[1, t_, S_, I_] := -((β I S)/NN) + γ I;
f[2, t_, S_, I_] := (β I S)/NN - γ I;
Clear[t, k1, k2, k3, k4, w];
t[i_] := a + i*h;
For[i = 1, i <= m, i++, w[i, 0] = IC[[i]]];
k1[i_, j_] := h*(f @@ Flatten[{i, t[j - 1], Table[w[k, j - 1], {k, 1, m}]}]);
k2[i_, j_] := h*(f @@ Flatten[{i, t[j - 1] + h/2, Table[w[k, j - 1] + k1[k, j]/2, {k, 1, m}]}]);
k3[i_, j_] := h*(f @@ Flatten[{i, t[j - 1] + h/2, Table[w[k, j - 1] + k2[k, j]/2, {k, 1, m}]}]);
k4[i_, j_] := h*(f @@ Flatten[{i, t[j - 1] + h, Table[w[k, j - 1] + k3[k, j], {k, 1, m}]}]);
w[i_, j_] := w[i, j] = w[i, j - 1] + (k1[i, j] + 2*k2[i, j] + 2*k3[i, j] + k4[i, j])/6
t1 = Table[Table[{t[j], w[i, j]}, {j, 0, n}], {i, 1, m}](*//TableForm*);
DkYellow = RGBColor[.808, .808, .192];
Maroon = RGBColor[.5, 0, 0];
ListPlot[t1, PlotMarkers -> {Automatic, Scaled[0.01]}, PlotStyle -> {DkYellow, Maroon}, AspectRatio -> 420/560]
Licensing
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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.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 06:03, 1 April 2020 | | 1,136 × 853 (165 KB) | GregoryKaiser (talk | contribs) | Uploaded a work by https://commons.wikimedia.org/wiki/User:Bye~commonswiki from https://commons.wikimedia.org/wiki/File:Sissys.png with UploadWizard |
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