File:Graph SIR model without vital dynamics.svg
Size of this PNG preview of this SVG file: 800 × 600 pixels. Other resolutions: 320 × 240 pixels | 640 × 480 pixels | 1,024 × 768 pixels | 1,280 × 960 pixels | 964 × 723 pixels.
Original file (SVG file, nominally 964 × 723 pixels, file size: 206 KB)
|
This is a file from the Wikimedia Commons. The description on its description page there is shown below.
|
Summary
| Description |
English: Basic SIR system:
dS/dt = -βIS/N dI/dt = βIS/N-γI dR/dt = γI Initial Conditions: S(0)=3000000, I(0)=1, R(0)=0 Parameters: β=0.001, γ=0.07, N=3400000, t∈[0,60], step size=0.5 Yellow → Susceptible, Maroon → Infectious, Teal → Recovered |
| Date | |
| Source | File:Sirsys-p9.png |
| Author | Bye~commonswiki |
Clear[IC, a, b, h, i, m, n, f, NN, β, γ];
IC = {3000000, 1, 0}; 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_, R_] := -((β I S)/NN);
f[2, t_, S_, I_, R_] := (β I S)/NN - γ I;
f[3, t_, S_, I_, R_] := 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];
Teal = RGBColor[0, .5, .5];
Maroon = RGBColor[.5, 0, 0];
ListPlot[t1, PlotMarkers -> {Automatic, Scaled[0.01]}, PlotStyle -> {DkYellow, Maroon, Teal}, AspectRatio -> 420/560]
Licensing
 
|
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.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Dimensions | User | Comment | |
|---|---|---|---|---|
| current | 16:46, 31 March 2020 | 964 × 723 (206 KB) | GregoryKaiser | Uploaded a work by https://commons.wikimedia.org/wiki/User:Bye~commonswiki from https://en.wikipedia.org/w/index.php?title=File:Sirsys-p9.png&gettingStartedReturn=true with UploadWizard |
File usage
The following page uses this file:
