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Cholera SIR - Spread of Disease Euler's method t time The...

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Spread of Disease t S I R T Euler's method time susceptible infected recovered terminal 0 24000 20 100 0 Total sick & not died, Rfinal 9954.4417 The values below are adjustable parameters -- 1 23980.0995 26.7004975124 108.844 4.356 Total deaths, Tfinal changing any of these values automatically 2 23953.55387 35.6237988024 120.65096 10.1714 Number never sick, Sfinal 9311.8781 updates the rest of the sheet. 3 23918.17591 47.4900594108 136.4038038304 17.9302 Max sick at one time, Imax 1716.7517 4 23871.08322 63.2393065482 157.4039081019 28.2736 Max prop (of S0) sick 0.0715313 "step" size 1 5 23808.49654 84.0880453749 185.3683294575 42.0471 Max prop (of N) sick 0.0711754 Initial # susceptible (S0): 24,000 6 23725.49447 111.5920057905 222.5520631223 60.3615 Initial # infected (I0): 20 7 23615.72765 147.708094405 271.898048083 84.6662 Initial # recoved (R0): 100 8 23471.10767 194.8407408982 337.2145674287 116.837 Total # in population (n): 24,120 9 23281.50866 255.8448571844 423.3731430539 159.273 10 23034.55782 333.9380913399 536.507738901 215 daily rate of contacts (a): 1 11 22715.64753 432.4492443192 684.1751628913 287.728 transmission rate (a/n): 4.1459E-005 12 22308.37702 554.303249183 875.4042187292 381.916 recovery rate (b): 0.66 13 21795.70679 701.1333313783 1120.517115518 502.643 death rate (d): 0.33 14 21162.13729 871.9548399125 1430.55827465 655.35 15 20397.11125 1061.4906833274 1816.13670486 845.261 16 19499.46019 1258.557891965 2285.52788503 1076.45 17 18481.99752 1445.3723495733 2842.06218486 1350.57 18 17374.47811 1598.9460095409 3481.20583784 1665.37 19 16222.70148 1695.4182786825 4188.25976326 2013.62 20 15082.392 1716.7516929783 4937.97372609 2382.88 21 14008.89606 1657.1915125601 5697.12132473 2756.79 22 13046.39923 1525.9419490578 6429.93141158 3117.73 23 12221.02411 1344.1953814892 7104.70294145 3450.08 24 11539.95263 1138.0979124685 7699.10613915 3742.84 25 10995.44201 931.4639035796 8202.37303604 3990.72 26 10570.82106 741.3186782454 8614.2663742 4193.59 27 10245.93105 576.9383629361 8942.07749372 4355.05 28 10000.85349 441.2366008778 9197.19963781 4480.71 29 9817.903965 332.969971689 9392.31446272 4576.81 30 9682.370498 248.7432565898 9539.5537842 4649.33 31 9582.518742 184.4244638435 9649.54805227 4703.51 32 9509.249634 135.9734255515 9731.10055018 4743.68 33 9455.642451 99.8381474049 9791.22799896 4773.29 34 9416.503404 73.0840175823 9835.37642774 4795 35 9387.971235 53.3807343163 9867.69418032 4811 36 9367.19442 38.9262655168 9891.29914103 4822.58 37 9352.077094 28.352256027 9908.51233564 4831.06 38 9341.084039 20.6328219475 9921.04970326 4837.23 39 9333.093453 15.0057450247 9930.173537122 4841.73 40 9327.287068 10.9083389076 9936.80907757 4845 41 9323.068775 7.9271274518 9941.63274504 4847.37 42 9320.004714 5.7592844623 9945.138120796 4849.1 43 9317.779318 4.1835529999 9947.68487639 4850.35 44 9316.163173 3.0385532778 9949.53484352 4851.26 45 9314.989555 2.2067257822 9950.87849178 4851.93 46 9314.137332 1.6025101329 9951.85430592 4852.41 47 9313.518509 1.1636759764 9952.5629359 4852.75 48 9313.069176 0.8449830719 9953.07751342 4853 49 9312.742916 0.6135540206 9953.45116493 4853.19 50 9312.506023 0.445501852 9953.722478522 4853.33 51 9312.334019 0.3234747209 9953.91947944 4853.42 52 9312.20913 0.2348696575 9954.06251996 4853.49 53 9312.118452 0.1705337668 9954.16637933 4853.54 54 9312.052614 0.1238202302 9954.24178936 4853.58 55 9312.00481 0.0899023815 9954.29654266 4853.61 56 9311.970101 0.0652754088 9954.3362975 4853.63 57 9311.944901 0.0473944124 9954.36516228 4853.64 58 9311.926603 0.0344115362 9954.38612009 4853.65 59 9311.913318 0.0249850674 9954.40133687 4853.66 60 9311.903672 0.0181408094 9954.41238527 4853.67 61 9311.896669 0.0131714187 9954.42040713 4853.67 62 9311.891584 0.009563311 9954.426231536 4853.67 63 9311.887892 0.0069435869 9954.43046043 4853.67 64 9311.885211 0.0050414954 9954.43353089 4853.68 65 9311.883265 0.0036604528 9954.43576024 4853.68 66 9311.881851 0.002657726 9954.43737889 4853.68 67 9311.880825 0.0019296812 9954.43855413 4853.68 68 9311.88008 0.0014010734 9954.43940744 4853.68 69 9311.879539 0.0010172699 9954.44002699 4853.68 70 9311.879147 0.0007386037 9954.44047683 4853.68 71 9311.878862 0.0005362741 9954.44080344 4853.68 72 9311.878655 0.0003893696 9954.44104058 4853.68 73 9311.878504 0.0002827075 9954.44121276 4853.68 74 9311.878395 0.0002052639 9954.44133777 4853.68 75 9311.878316 0.0001490349 9954.44142854 4853.68 76 9311.878258 0.0001082089 9954.44149445 4853.68 77 9311.878217 7.85666821E-005 9954.4415423 4853.68 78 9311.878186 5.70444868E-005 9954.44157704 4853.68 79 9311.878164 0.000041418 9954.44160226 4853.68 80 9311.878148 3.00721310E-005 9954.44162058 4853.68 81 9311.878137 2.18343098E-005 9954.44163388 4853.68 82 9311.878128 1.58531194E-005 9954.44164353 4853.68 83 9311.878122 1.15103888E-005 9954.44165054 4853.68 84 9311.878118 8.35728579E-006 9954.44165563 4853.68 85 9311.878114 6.06792935E-006 9954.44165933 4853.68 86 9311.878112 4.40570869E-006 9954.44166201 4853.68 87 9311.87811 3.19882911E-006 9954.44166396 4853.68 88 9311.878109 2.32255657E-006 9954.44166537 4853.68 89 9311.878108 1.68632611E-006 9954.4416664 4853.68 90 9311.878108 1.22438169E-006 9954.44166714 4853.68 91 9311.878107 0.000000889 9954.44166769 4853.68 92 9311.878107 6.45457049E-007 9954.44166808 4853.68 93 9311.878106 4.68643513E-007 9954.44166836 4853.68 94 9311.878106 3.40265464E-007 9954.44166857 4853.68 95 9311.878106 2.47054707E-007 9954.44166872 4853.68 96 9311.878106 1.79377677E-007 9954.44166883 4853.68 97 9311.878106 1.30239781E-007 9954.44166891 4853.68 98 9311.878106 9.45624941E-008 9954.44166897 4853.68 99 9311.878106 6.86584793E-008 9954.44166901 4853.68 100 9311.878106 4.98504912E-008 9954.44166904 4853.68 101 9311.878106 3.61946768E-008 9954.44166906 4853.68 102 9311.878106 2.62796735E-008 9954.44166908 4853.68 103 9311.878106 1.90807406E-008 9954.44166909 4853.68 104 9311.878106 1.38538502E-008 9954.4416691 4853.68 105 9311.878106 1.00587902E-008 9954.4416691 4853.68 106 9311.878106 7.30333146E-009 9954.44166911 4853.68 107 9311.878106 5.30269042E-009 9954.44166911 4853.68 108 9311.878106 3.85009579E-009 9954.44166912 4853.68 109 9311.878106 2.79541825E-009 9954.44166912 4853.68 110 9311.878106 0.000000002 9954.44166912 4853.68 111 9311.878106 1.47366008E-009 9954.44166912 4853.68 112 9311.878106 1.06997242E-009 9954.44166912 4853.68 113 9311.878106 7.76869092E-010 9954.44166912 4853.68 114 9311.878106 5.64057145E-010 9954.44166912 4853.68 115 9311.878106 4.09541924E-010 9954.44166912 4853.68 116 9311.878106 2.97353893E-010 9954.44166912 4853.68 117 9311.878106 2.15898135E-010 9954.44166912 4853.68 118 9311.878106 1.56755992E-010 9954.44166912 4853.68 119 9311.878106 1.13814977E-010 9954.44166912 4853.68 120 9311.878106 8.26370252E-011 9954.44166912 4853.68 121 9311.878106 5.99998185E-011 9954.44166912 4853.68 122 9311.878106 4.35637441E-011 9954.44166912 4853.68 123 9311.878106 3.16300924E-011 9954.44166912 4853.68 124 9311.878106 2.29654903E-011 9954.44166912 4853.68 125 9311.878106 1.66744295E-011 9954.44166912 4853.68 126 9311.878106 1.21067129E-011 9954.44166912 4853.68 127 9311.878106 8.79025567E-012 9954.44166912 4853.68 128 9311.878106 6.38229345E-012 9954.44166912 4853.68 129 9311.878106 4.63395733E-012 9954.44166912 4853.68 130 9311.878106 3.36455236E-012 9954.44166912 4853.68 131 9311.878106 2.44288236E-012 9954.44166912 4853.68 132 9311.878106 1.77369040E-012 9954.44166912 4853.68 133 9311.878106 1.28781381E-012 9954.44166912 4853.68 134 9311.878106 9.35036014E-013 9954.44166912 4853.68 135 9311.878106 6.78896548E-013 9954.44166912 4853.68 136 9311.878106 4.92922749E-013 9954.44166912 4853.68 137 9311.878106 3.57893758E-013 9954.44166912 4853.68 138 9311.878106 2.59853987E-013 9954.44166912 4853.68 139 9311.878106 1.88670781E-013 9954.44166912 4853.68 140 9311.878106 1.36987175E-013 9954.44166912 4853.68 141 9311.878106 9.94615379E-014 9954.44166912 4853.68 142 9311.878106 7.22155015E-014 9954.44166912 4853.68 143 9311.878106 5.24331191E-014 9954.44166912 4853.68 144 9311.878106 3.80698315E-014 9954.44166912 4853.68 145 9311.878106 2.76411569E-014 9954.44166912 4853.68 146 9311.878106 2.00692655E-014 9954.44166912 4853.68 147 9311.878106 1.45715832E-014 9954.44166912 4853.68 148 9311.878106 1.05799107E-014 9954.44166912 4853.68 149 9311.878106 7.68169861E-015 9954.44166912 4853.68 150 9311.878106 5.57740941E-015 9954.44166912 4853.68 151 9311.878106 4.04955952E-015 9954.44166912 4853.68 152 9311.878106 2.94024181E-015 9954.44166912 4853.68 153 9311.878106 2.13480549E-015 9954.44166912 4853.68 154 9311.878106 1.55000669E-015 9954.44166912 4853.68 155 9311.878106 1.12540498E-015 9954.44166912 4853.68 156 9311.878106 8.17116716E-016 9954.44166912 4853.68 157 9311.878106 5.93279520E-016 9954.44166912 4853.68 158 9311.878106 4.30759256E-016 9954.44166912 4853.68 159 9311.878106 3.12759046E-016 9954.44166912 4853.68 160 9311.878106 2.27083271E-016 9954.44166912 4853.68 161 9311.878106 1.64877124E-016 9954.44166912 4853.68 162 9311.878106 1.19711443E-016 9954.44166912 4853.68 163 9311.878106 8.69182406E-017 9954.44166912 4853.68 164 9311.878106 6.31082574E-017 9954.44166912 4853.68 165 9311.878106 4.58206716E-017 9954.44166912 4853.68 166 9311.878106 3.32687675E-017 9954.44166912 4853.68 167 9311.878106 2.41552743E-017 9954.44166912 4853.68 168 9311.878106 1.75382895E-017 9954.44166912 4853.68 169 9311.878106 1.27339311E-017 9954.44166912 4853.68 170 9311.878106 9.24565659E-018 9954.44166912 4853.68 171 9311.878106 6.71294394E-018 9954.44166912 4853.68 172 9311.878106 4.87403094E-018 9954.44166912 4853.68 173 9311.878106 3.53886132E-018 9954.44166912 4853.68 174 9311.878106 2.56944192E-018 9954.44166912 4853.68 175 9311.878106 1.86558081E-018 9954.44166912 4853.68 176 9311.878106 1.35453218E-018 9954.44166912 4853.68 177 9311.878106 9.83477866E-019 9954.44166912 4853.68 178 9311.878106 7.14068462E-019 9954.44166912 4853.68 179 9311.878106 5.18459831E-019 9954.44166912 4853.68 180 9311.878106 3.76435328E-019 9954.44166912 4853.68 181 9311.878106 2.73316365E-019 9954.44166912 4853.68 182 9311.878106 1.98445337E-019 9954.44166912 4853.68 183 9311.878106 1.44084134E-019 9954.44166912 4853.68 184 9311.878106 1.04614389E-019 9954.44166912 4853.68 185 9311.878106 7.59568041E-020 9954.44166912 4853.68 186 9311.878106 5.51495465E-020 9954.44166912 4853.68 187 9311.878106 4.00421333E-020 9954.44166912 4853.68 188 9311.878106 2.90731754E-020 9954.44166912 4853.68 189 9311.878106 2.11090034E-020 9954.44166912 4853.68 190 9311.878106 1.53265001E-020 9954.44166912 4853.68 191 9311.878106 1.11280291E-020 9954.44166912 4853.68 192 9311.878106 8.07966799E-021 9954.44166912 4853.68 193 9311.878106 5.86636089E-021 9954.44166912 4853.68 194 9311.878106 4.25935696E-021 9954.44166912 4853.68 195 9311.878106 3.09256830E-021 9954.44166912 4853.68 196 9311.878106 2.24540436E-021 9954.44166912 4853.68 197 9311.878106 1.63030862E-021 9954.44166912 4853.68 198 9311.878106 1.18370937E-021 9954.44166912 4853.68 199 9311.878106 8.59449468E-022 9954.44166912 4853.68 200 9311.878106 6.24015832E-022 9954.44166912 4853.68 201 9311.878106 4.53075804E-022 9954.44166912 4853.68 202 9311.878106 3.28962302E-022 9954.44166912 4853.68 203 9311.878106 2.38847882E-022 9954.44166912 4853.68 204 9311.878106 1.73418991E-022 9954.44166912 4853.68 205 9311.878106 1.25913390E-022 9954.44166912 4853.68 206 9311.878106 9.14212550E-023 9954.44166912 4853.68 207 9311.878106 6.63777367E-023 9954.44166912 4853.68
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