CoCalc -- 3845.sagews

All published worksheets from http://sagenb.org

Project: sagenb.org published worksheets

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Image: ubuntu2004

S0 = 9000 # Startwert der Gefährdeten 
I0 = 1000 # Startwert der Infizierten 
R0 = 0 # Startwert der Immunen 
t = (1/24) # Zeitintervall und Tagen 
b = 1/11 # Infektionsdauer 
c = 6.8 
a = b*c 
n = I0+R0+S0 
S=[S0] 
I=[I0] 
R=[R0] 
for i in range (0,400): 
    S.append(S[i]+(-a*(S[i]/n)*I[i])*t) 
    I.append(I[i]+((a*(S[i]/n)*I[i])-b*I[i])*t) 
    R.append(R[i]+b*I[i]) 
    print S 
    print R
    print I

WARNING: Output truncated!

full_output.txt

[9000, 8976.81818181818]
[0, 1000/11]
[1000, 1019.39393939394]
[9000, 8976.81818181818, 8953.24764562985]
[0, 1000/11, 183.581267217631]
[1000, 1019.39393939394, 1039.10313490275]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163]
[0, 1000/11, 183.581267217631, 278.045188572426]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173, 1254.09165214350]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827, 8667.24975222847]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173, 1254.09165214350, 1277.42929863609]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827, 8667.24975222847, 8638.73148266398]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053, 1443.83271549017]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173, 1254.09165214350, 1277.42929863609, 1301.10882085726]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827, 8667.24975222847, 8638.73148266398, 8609.78014850294]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053, 1443.83271549017, 1562.11533556811]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173, 1254.09165214350, 1277.42929863609, 1301.10882085726, 1325.13171251505]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827, 8667.24975222847, 8638.73148266398, 8609.78014850294, 8580.39309151603]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053, 1443.83271549017, 1562.11533556811, 1682.58185488766]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173, 1254.09165214350, 1277.42929863609, 1301.10882085726, 1325.13171251505, 1349.49933119698]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827, 8667.24975222847, 8638.73148266398, 8609.78014850294, 8580.39309151603, 8550.56778991710]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053, 1443.83271549017, 1562.11533556811, 1682.58185488766, 1805.26361226920]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173, 1254.09165214350, 1277.42929863609, 1301.10882085726, 1325.13171251505, 1349.49933119698, 1374.21289290501]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827, 8667.24975222847, 8638.73148266398, 8609.78014850294, 8580.39309151603, 8550.56778991710, 8520.30186439050]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053, 1443.83271549017, 1562.11533556811, 1682.58185488766, 1805.26361226920, 1930.19205707875]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173, 1254.09165214350, 1277.42929863609, 1301.10882085726, 1325.13171251505, 1349.49933119698, 1374.21289290501, 1399.27346656455]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827, 8667.24975222847, 8638.73148266398, 8609.78014850294, 8580.39309151603, 8550.56778991710, 8520.30186439050, 8489.59308415696]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053, 1443.83271549017, 1562.11533556811, 1682.58185488766, 1805.26361226920, 1930.19205707875, 2057.39873585734]
[1000, 1019.39393939394, 1039.10313490275, 1059.13030648786, 1079.47809906754, 1100.14907786313, 1121.14572365172, 1142.47042792881, 1164.12548798454, 1186.11310189777, 1208.43536345253, 1231.09425698173, 1254.09165214350, 1277.42929863609, 1301.10882085726, 1325.13171251505, 1349.49933119698, 1374.21289290501, 1399.27346656455, 1424.68196851564]
[9000, 8976.81818181818, 8953.24764562985, 8929.28447732163, 8904.92482752040, 8880.16491653137, 8855.00103938723, 8829.42957100540, 8803.44697144995, 8777.04979129435, 8750.23467708088, 8722.99837687194, 8695.33774588827, 8667.24975222847, 8638.73148266398, 8609.78014850294, 8580.39309151603, 8550.56778991710, 8520.30186439050, 8489.59308415696, 8458.43937306915]
[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053, 1443.83271549017, 1562.11533556811, 1682.58185488766, 1805.26361226920, 1930.19205707875, 2057.39873585734, 2186.91527844967]

...

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[0, 1000/11, 183.581267217631, 278.045188572426, 374.329761889504, 472.464134532007, 572.477687065019, 674.400025578812, 778.260973572340, 884.090563389117, 991.919027198005, 1101.77678751187, 1213.69444723748, 1327.70277925053, 1443.83271549017, 1562.11533556811, 1682.58185488766, 1805.26361226920, 1930.19205707875, 2057.39873585734, 2186.91527844967, 2318.77338363108, 2453.00480423299, 2589.64133176780, 2728.71478055488, 2870.25697135073, 3014.29971448702, 3160.87479252129, 3310.01394240643, 3461.74883718585, 3616.11106722257, 3773.13212097160, 3932.84336530616, 4095.27602540945, 4260.46116424518, 4428.42966162090, 4599.21219285992, 4772.83920709851, 4949.34090522679, 5128.74721749248, 5311.08778078860, 5496.39191564707, 5684.68860296164, 5876.00646046495, 6070.37371898551, 6267.81819851214, 6468.36728409394, 6672.04790160592, 6878.88649341061, 7088.90899394812, 7302.14080528718, 7518.60677267160, 7738.33116009687, 7961.33762595293, 8187.64919876987, 8417.28825310386, 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list_plot(S)

list_plot(R)

list_plot(I)

S0 = 9000 # Startwert der Gefährdeten 
I0 = 1000 # Startwert der Infizierten 
R0 = 0 # Startwert der Immunen 
t = (1/24) # Zeitintervall und Tagen 
b = 1/2 # Infektionsdauer^-1 
c = 6.8 
a = b*c 
n = I0+R0+S0 
S=[S0] 
I=[I0] 
R=[R0] 
for i in range (0,400): 
    S.append(S[i]+(-a*(S[i]/n)*I[i])*t) 
    I.append(I[i]+((a*(S[i]/n)*I[i])-b*I[i])*t) 
    R.append(R[i]+b*I[i]) 
    print S 
    print R 
    print I

WARNING: Output truncated!

full_output.txt

[9000, 8872.50000000000]
[0, 500]
[1000, 1106.66666666667]
[9000, 8872.50000000000, 8733.39891666667]
[0, 500, 1053.33333333333]
[1000, 1106.66666666667, 1222.71219444444]
[9000, 8872.50000000000, 8733.39891666667, 8582.12111081329]
[0, 500, 1053.33333333333, 1664.68943055556]
[1000, 1106.66666666667, 1222.71219444444, 1348.51682958023]
[9000, 8872.50000000000, 8733.39891666667, 8582.12111081329, 8418.16836850140]
[0, 500, 1053.33333333333, 1664.68943055556, 2338.94784534567]
[1000, 1106.66666666667, 1222.71219444444, 1348.51682958023, 1484.37547127587]
[9000, 8872.50000000000, 8733.39891666667, 8582.12111081329, 8418.16836850140, 8241.14563111169]
[0, 500, 1053.33333333333, 1664.68943055556, 2338.94784534567, 3081.13558098360]
[1000, 1106.66666666667, 1222.71219444444, 1348.51682958023, 1484.37547127587, 1630.47371968067]
[9000, 8872.50000000000, 8733.39891666667, 8582.12111081329, 8418.16836850140, 8241.14563111169, 8050.78853668085]
[0, 500, 1053.33333333333, 1664.68943055556, 2338.94784534567, 3081.13558098360, 3896.37244082394]
[1000, 1106.66666666667, 1222.71219444444, 1348.51682958023, 1484.37547127587, 1630.47371968067, 1786.86261161816]
[9000, 8872.50000000000, 8733.39891666667, 8582.12111081329, 8418.16836850140, 8241.14563111169, 8050.78853668085, 7846.99178541912]
[0, 500, 1053.33333333333, 1664.68943055556, 2338.94784534567, 3081.13558098360, 3896.37244082394, 4789.80374663302]
[1000, 1106.66666666667, 1222.71219444444, 1348.51682958023, 1484.37547127587, 1630.47371968067, 1786.86261161816, 1953.43305847117]
[9000, 8872.50000000000, 8733.39891666667, 8582.12111081329, 8418.16836850140, 8241.14563111169, 8050.78853668085, 7846.99178541912, 7629.83699894061]
[0, 500, 1053.33333333333, 1664.68943055556, 2338.94784534567, 3081.13558098360, 3896.37244082394, 4789.80374663302, 5766.52027586860]
[1000, 1106.66666666667, 1222.71219444444, 1348.51682958023, 1484.37547127587, 1630.47371968067, 1786.86261161816, 1953.43305847117, 2129.89132289820]
[9000, 8872.50000000000, 8733.39891666667, 8582.12111081329, 8418.16836850140, 8241.14563111169, 8050.78853668085, 7846.99178541912, 7629.83699894061, 7399.61841433568]
[0, 500, 1053.33333333333, 1664.68943055556, 2338.94784534567, 3081.13558098360, 3896.37244082394, 4789.80374663302, 5766.52027586860, 6831.46593731770]
[1000, 1106.66666666667, 1222.71219444444, 1348.51682958023, 1484.37547127587, 1630.47371968067, 1786.86261161816, 1953.43305847117, 2129.89132289820, 2315.73717160941]
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list_plot(S)

list_plot(I)

list_plot(R)