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Disease Epidemics and Vaccine Effects
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Rubens Zimbres, PhD
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This Mathematica code simulates epidemics of a disease and vaccine efects
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1.
In[1]:= Clear["Global`*"] In[2]:= SetDirectory[$UserDocumentsDirectory]; In[3]:=
a = Import["Vaccine.xlsx"][[1]]; In[4]:= {a[[1]], a[[2]]}; In[5]:= b = Drop[a, 2]; In[6]:= c[d_] := b[[d]][[#]] & /@ Table[k, {k, 3, 32, 1}] In[7]:= e[f_] := b[[f]][[#]] & /@ Table[k, {k, 63, 92, 1}] In[8]:= g = IntegerPart[c /@ Table[k, {k, 1, Dimensions[b][[1]], 1}]] Out[8]= {{6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 20, 23, 26, 29, 33, 37, 42, 48, 55, 63, 72, 82, 94, 108, 124, 142, 163, 187, 215}, {15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94, 103, 113, 124, 136, 149, 163}, {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94}, {12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94, 103, 113, 124}, {11, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94, 103, 113, 124}, {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94}, {6, 7, 8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772}, {7, 8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926}, {6, 7, 8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772}, {11, 13, 15, 18, 21, 25, 30, 36, 43, 51, 61, 73, 87, 104, 124, 148, 177, 212, 254, 304, 364, 436, 523, 627, 752, 902, 1082, 1298, 1557, 1868}, {8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 1111}, {12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 1111, 1333, 1599, 1918}, {6, 7, 8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772}, {16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 1111, 1333, 1599, 1918, 2301, 2761}, {9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 1111, 1333}} In[9]:= h = IntegerPart[e /@ Table[k, {k, 1, Dimensions[b][[1]], 1}]] Out[9]= {{172, 146, 124, 105, 89, 75, 63, 53, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0}, {130, 110, 93, 79, 67, 56, 47, 39, 33, 28, 23, 19, 16, 13, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {75, 63, 53, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {99, 84, 71, 60, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {99, 84, 71, 60, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {75, 63, 53, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {617, 524, 445, 378, 321, 272, 231, 196, 166, 141, 119, 101, 85, 72, 61, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2}, {740, 629, 534, 453, 385, 327, 277, 235, 199, 169, 143, 121, 102, 86, 73, 62, 52, 44, 37, 31, 26, 22, 18, 15, 12, 10, 8, 6, 5, 4}, {617, 524, 445, 378, 321, 272, 231, 196, 166, 141, 119, 101, 85, 72, 61, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2}, {1494, 1269, 1078, 916, 778, 661, 561, 476, 404, 343, 291, 247, 209, 177, 150, 127, 107, 90, 76, 64, 54, 45, 38, 32, 27, 22, 18, 15, 12, 10}, {888, 754, 640, 544, 462, 392, 333, 283, 240, 204, 173, 147, 124, 105, 89, 75, 63, 53, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6, 5}, {1534, 1303, 1107, 940, 799, 679, 577, 490, 416, 353, 300, 255, 216, 183, 155, 131, 111, 94, 79, 67, 56, 47, 39, 33, 28, 23, 19, 16, 13, 11}, {617, 524, 445, 378, 321, 272, 231, 196, 166, 141, 119, 101, 85, 72, 61, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2}, {2208, 1876, 1594, 1354, 1150, 977, 830, 705, 599, 509, 432, 367, 311, 264, 224, 190, 161, 136, 115, 97, 82, 69, 58, 49, 41, 34, 28, 23, 19, 16}, {1066, 906, 770, 654, 555, 471, 400, 340, 289, 245, 208, 176, 149, 126, 107, 90, 76, 64, 54, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6}} In[10]:= CASES Out[10]= CASES
2.
In[11]:= i =
Flatten[{g[[#]], h[[#]]}] & /@ Table[k, {k, 1, Dimensions[h][[1]], 1}] Out[11]= {{6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 20, 23, 26, 29, 33, 37, 42, 48, 55, 63, 72, 82, 94, 108, 124, 142, 163, 187, 215, 172, 146, 124, 105, 89, 75, 63, 53, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0}, {15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94, 103, 113, 124, 136, 149, 163, 130, 110, 93, 79, 67, 56, 47, 39, 33, 28, 23, 19, 16, 13, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0}, {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94, 75, 63, 53, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94, 103, 113, 124, 99, 84, 71, 60, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {11, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94, 103, 113, 124, 99, 84, 71, 60, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 24, 26, 28, 30, 33, 36, 39, 42, 46, 50, 55, 60, 66, 72, 79, 86, 94, 75, 63, 53, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6, 5, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {6, 7, 8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 617, 524, 445, 378, 321, 272, 231, 196, 166, 141, 119, 101, 85, 72, 61, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2}, {7, 8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 740, 629, 534, 453, 385, 327, 277, 235, 199, 169, 143, 121, 102, 86, 73, 62, 52, 44, 37, 31, 26, 22, 18, 15, 12, 10, 8, 6, 5, 4}, {6, 7, 8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 617, 524, 445, 378, 321, 272, 231, 196, 166, 141, 119, 101, 85, 72, 61, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2}, {11, 13, 15, 18, 21, 25, 30, 36, 43, 51, 61, 73, 87, 104, 124, 148, 177, 212, 254, 304, 364, 436, 523, 627, 752, 902, 1082, 1298, 1557, 1868, 1494, 1269, 1078, 916, 778, 661, 561, 476, 404, 343, 291, 247, 209, 177, 150, 127, 107, 90, 76, 64, 54, 45, 38, 32, 27, 22, 18, 15, 12, 10}, {8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 1111, 888, 754, 640, 544, 462, 392, 333, 283, 240, 204, 173, 147, 124, 105, 89, 75, 63, 53, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6, 5}, {12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 1111, 1333, 1599, 1918, 1534, 1303, 1107, 940, 799, 679, 577, 490, 416, 353, 300, 255, 216, 183, 155, 131, 111, 94, 79, 67, 56, 47, 39, 33, 28, 23, 19, 16, 13, 11}, {6, 7, 8, 9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 617, 524, 445, 378, 321, 272, 231, 196, 166, 141, 119, 101, 85, 72, 61, 51, 43, 36, 30, 25, 21, 17, 14, 11, 9, 7, 5, 4, 3, 2}, {16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 1111, 1333, 1599, 1918, 2301, 2761, 2208, 1876, 1594, 1354, 1150, 977, 830, 705, 599, 509, 432, 367, 311, 264, 224, 190, 161, 136, 115, 97, 82, 69, 58, 49, 41, 34, 28, 23, 19, 16}, {9, 10, 12, 14, 16, 19, 22, 26, 31, 37, 44, 52, 62, 74, 88, 105, 126, 151, 181, 217, 260, 312, 374, 448, 537, 644, 772, 926, 1111, 1333, 1066, 906, 770, 654, 555, 471, 400, 340, 289, 245, 208, 176, 149, 126, 107, 90, 76, 64, 54, 45, 38, 32, 27, 22, 18, 15, 12, 10, 8, 6}} In[12]:= j0 = StringJoin[{b[[#]][[1]], "-", "Male"}] & /@ Table[k, {k, 1, Dimensions[b][[1]], 2}] Out[12]= {California-Male, Texas-Male, NewYork-Male, Virginia-Male, Wyoming-Male, Florida-Male, Ohio-Male, Colorado-Male} In[13]:= j1 = StringJoin[{b[[#]][[1]], "-", "Female"}] & /@ Table[k, {k, 2, Dimensions[b][[1]], 2}] Out[13]= {Texas-Female, NewYork-Female, Virginia-Female, Wyoming-Female, Florida-Female, Ohio-Female, Colorado-Female} In[14]:= j = Flatten[Thread[{j0, j1}]] Thread::tdlen : Objects of unequal length in California-Male, Texas-Male, NewYork-Male, Virginia-Male, Wyoming-Male, Florida-Male, Ohio-Male, Colorado-Male, Texas-Female, NewYork-Female, Virginia-Female, Wyoming-Female, Florida-Female, Ohio-Female, Colorado-Female cannot be combined. Out[14]= {California-Male, Texas-Male, NewYork-Male, Virginia-Male, Wyoming-Male, Florida-Male, Ohio-Male, Colorado-Male, Texas-Female, NewYork-Female, Virginia-Female, Wyoming-Female, Florida-Female, Ohio-Female, Colorado-Female} In[15]:= DISEASE EVOLUTION OVER TIME Out[15]= DISEASE EVOLUTION OVER TIME 2 Vaccine.2.nb
3.
In[33]:= MatrixPlot[i, Mesh
→ True, ImageSize → 900, MeshStyle → Blue, ColorFunction → Hue, FrameTicks → {{#, None} &[Transpose[{Range[Length[#]], #} &@j]], {All, None}}, PlotLegends → Automatic, PlotLabel → "DISEASE EVOLUTION OVER TIME"] Out[33]= 1 20 40 60 California-Male Texas-Male NewYork-Male Virginia-Male Wyoming-Male Florida-Male Ohio-Male Colorado-Male Texas-Female NewYork-Female Virginia-Female Wyoming-Female Florida-Female Ohio-Female Colorado-Female DISEASE EVOLUTION OVER TIME 0 500 900 1400 1800 2300 2700 Vaccine.2.nb 3
4.
In[35]:= ListPlot3D[i, ImageSize
→ 700, ColorFunction → "NeonColors", PlotLabel → "DISEASE EVOLUTION OVER TIME", Boxed → True, AxesLabel → { "TIME", "STATES", "CASES"}, PlotLegends → Automatic, PlotRange → {{0, 60}, {0, 16}, {0, 2500}}] Out[35]= 0 500 1000 1500 2000 2500 In[18]:= DEATHS Out[18]= DEATHS In[19]:= c3[d3_] := b[[d3]][[#]] & /@ Table[k, {k, 33, 62, 1}] In[20]:= e3[f3_] := b[[f3]][[#]] & /@ Table[k, {k, 93, 122, 1}] In[21]:= g3 = IntegerPart[c3 /@ Table[k, {k, 1, Dimensions[b][[1]], 1}]] Out[21]= {{0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 14, 16, 19}, {1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14}, {0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11}, {0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11}, {0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8}, {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69}, {0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83}, {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69}, {0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 15, 19, 22, 27, 32, 39, 47, 56, 67, 81, 97, 116, 140, 168}, {0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 99}, {1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 99, 119, 143, 172}, {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69}, {1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 99, 119, 143, 172, 207, 248}, {0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 99, 119}} In[22]:= h3 = IntegerPart[e3 /@ Table[k, {k, 1, Dimensions[b][[1]], 1}]] Out[22]= {{15, 13, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {11, 9, 8, 7, 6, 5, 4, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {55, 47, 40, 34, 28, 24, 20, 17, 14, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {66, 56, 48, 40, 34, 29, 24, 21, 17, 15, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {55, 47, 40, 34, 28, 24, 20, 17, 14, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {134, 114, 97, 82, 70, 59, 50, 42, 36, 30, 26, 22, 18, 15, 13, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0}, {79, 67, 57, 48, 41, 35, 29, 25, 21, 18, 15, 13, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0}, {138, 117, 99, 84, 71, 61, 51, 44, 37, 31, 27, 22, 19, 16, 13, 11, 9, 8, 7, 6, 5, 4, 3, 2, 2, 2, 1, 1, 1, 0}, {55, 47, 40, 34, 28, 24, 20, 17, 14, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {198, 168, 143, 121, 103, 87, 74, 63, 53, 45, 38, 33, 27, 23, 20, 17, 14, 12, 10, 8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1}, {95, 81, 69, 58, 49, 42, 36, 30, 26, 22, 18, 15, 13, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0}} 4 Vaccine.2.nb
5.
In[23]:= i3 =
Flatten[{g3[[#]], h3[[#]]}] & /@ Table[k, {k, 1, Dimensions[h][[1]], 1}] Out[23]= {{0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 11, 12, 14, 16, 19, 15, 13, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 11, 9, 8, 7, 6, 5, 4, 3, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 7, 7, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 55, 47, 40, 34, 28, 24, 20, 17, 14, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 66, 56, 48, 40, 34, 29, 24, 21, 17, 15, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 55, 47, 40, 34, 28, 24, 20, 17, 14, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 15, 19, 22, 27, 32, 39, 47, 56, 67, 81, 97, 116, 140, 168, 134, 114, 97, 82, 70, 59, 50, 42, 36, 30, 26, 22, 18, 15, 13, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 99, 79, 67, 57, 48, 41, 35, 29, 25, 21, 18, 15, 13, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 99, 119, 143, 172, 138, 117, 99, 84, 71, 61, 51, 44, 37, 31, 27, 22, 19, 16, 13, 11, 9, 8, 7, 6, 5, 4, 3, 2, 2, 2, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 55, 47, 40, 34, 28, 24, 20, 17, 14, 12, 10, 9, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0}, {1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 99, 119, 143, 172, 207, 248, 198, 168, 143, 121, 103, 87, 74, 63, 53, 45, 38, 33, 27, 23, 20, 17, 14, 12, 10, 8, 7, 6, 5, 4, 3, 3, 2, 2, 1, 1}, {0, 0, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 7, 9, 11, 13, 16, 19, 23, 28, 33, 40, 48, 57, 69, 83, 99, 119, 95, 81, 69, 58, 49, 42, 36, 30, 26, 22, 18, 15, 13, 11, 9, 8, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 0, 0, 0}} In[34]:= MatrixPlot[i3, Mesh → True, ImageSize → 900, MeshStyle → Blue, ColorFunction → "GreenPinkTones", FrameTicks → {{#, None} &[Transpose[{Range[Length[#]], #} &@j]], {All, None}}, PlotLegends → Automatic, PlotLabel → "DEATHS OVER TIME"] Out[34]= 1 20 40 60 California-Male Texas-Male NewYork-Male Virginia-Male Wyoming-Male Florida-Male Ohio-Male Colorado-Male Texas-Female NewYork-Female Virginia-Female Wyoming-Female Florida-Female Ohio-Female Colorado-Female DEATHS OVER TIME 0 50 100 150 200 240 In[25]:= CONTAMINATION BEFORE VACCINE Out[25]= BEFORE CONTAMINATION VACCINE Vaccine.2.nb 5
6.
In[26]:= ListLinePlot[{Total[g[[#]] &
/@ Table[k, {k, 1, Dimensions[h][[1]], 2}]], Total[g[[#]] & /@ Table[k, {k, 2, Dimensions[h3][[1]], 2}]]}, PlotStyle → Thick, InterpolationOrder → 0, ImageSize → 500, PlotStyle → {Blue, Pink}, PlotLabel → "CONTAMINATION BEFORE VACCINE"] Out[26]= 5 10 15 20 25 30 2000 4000 6000 8000 CONTAMINATION BEFORE VACCINE In[27]:= DEATHS MALES AFTER VACCINE; In[28]:= {ListLinePlot[h3[[#]] & /@ Table[k, {k, 1, Dimensions[h3][[1]], 2}], InterpolationOrder → 0, ImageSize → 500, PlotLabel -> "MALE DEATHS AFTER VACCINE PER STATE", PlotStyle → Thick], ListLinePlot[h3[[#]] & /@ Table[k, {k, 2, Dimensions[h3][[1]], 2}], InterpolationOrder → 0, ImageSize → 500, PlotLabel -> "FEMALE DEATHS AFTER VACCINE PER STATE", PlotStyle → Thick]} Out[28]= 5 10 15 20 25 30 10 20 30 40 MALE DEATHS AFTER VACCINE PER STATE , 5 10 15 20 25 30 20 40 60 FEMALE DEATHS AFTER VACCINE PER STATE In[29]:= DEATHS ALL STATES MALE AND FEMALE AFTER VACCINE Out[29]= AFTER ALL AND DEATHS FEMALE MALE STATES VACCINE 6 Vaccine.2.nb
7.
In[30]:= ListLinePlot[{Total[h3[[#]] &
/@ Table[k, {k, 1, Dimensions[h3][[1]], 2}]], Total[h3[[#]] & /@ Table[k, {k, 2, Dimensions[h3][[1]], 2}]]}, PlotStyle → Thick, InterpolationOrder → 0, ImageSize → 500, PlotStyle → {Blue, Pink}, PlotLabel → "MALE AND FEMALE DEATHS AFTER VACCINE"] Out[30]= 5 10 15 20 25 30 100 200 300 400 500 MALE AND FEMALE DEATHS AFTER VACCINE In[31]:= DISEASE EVOLUTION OVER TIME Out[31]= DISEASE EVOLUTION OVER TIME In[32]:= ListLinePlot[{Total[i3[[#]] & /@ Table[k, {k, 1, Dimensions[h][[1]], 2}]], Total[i3[[#]] & /@ Table[k, {k, 2, Dimensions[h3][[1]], 2}]]}, PlotStyle → Thick, InterpolationOrder → 0, ImageSize → 500, PlotStyle → {Blue, Pink}, PlotLabel → "DISEASE EVOLUTION"] Out[32]= 10 20 30 40 50 60 100 200 300 400 500 600 700 DISEASE EVOLUTION Vaccine.2.nb 7
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