File:Graph SIR model without vital dynamics.svg
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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
 
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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 | 23:46, 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 |
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