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Summary

DescriptionSIS System Graph.svg
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

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

Creative Commons CC-Zero 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

Captions

Yellow=Susceptible, Maroon=Infected
पीला = संदेहास्पद, मैरून = संक्रमित
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1 April 2020

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image/svg+xml

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