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| 1 | +<?xml version="1.0" encoding="UTF-8"?> |
| 2 | +<sbml xmlns="http://www.sbml.org/sbml/level3/version2/core" level="3" version="2"> |
| 3 | + <model metaid="individual_based_age_of_infection_model" id="individual_based_age_of_infection_model"> |
| 4 | + <listOfParameters> |
| 5 | + <parameter id="U" constant="false"/> |
| 6 | + <parameter id="rho" value="0.01" constant="true"/> |
| 7 | + <parameter id="I_1" value="0" constant="false"/> |
| 8 | + <parameter id="I_2" value="0" constant="false"/> |
| 9 | + <parameter id="I_3" value="0" constant="false"/> |
| 10 | + <parameter id="I_4" value="0" constant="false"/> |
| 11 | + <parameter id="I_5" value="0" constant="false"/> |
| 12 | + <parameter id="kappa" value="0.01" constant="true"/> |
| 13 | + <parameter id="psi" value="0.01" constant="true"/> |
| 14 | + <parameter id="V" constant="false"/> |
| 15 | + <parameter id="phi" value="0.01" constant="true"/> |
| 16 | + <parameter id="alpha" value="0.01" constant="true"/> |
| 17 | + <parameter id="beta" value="0.01" constant="true"/> |
| 18 | + <parameter id="delta" value="0.01" constant="true"/> |
| 19 | + <parameter id="xi_i_k" value="1" constant="true"/> |
| 20 | + <parameter id="u_2" constant="true"/> |
| 21 | + </listOfParameters> |
| 22 | + <listOfInitialAssignments> |
| 23 | + <initialAssignment symbol="U"> |
| 24 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
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| 26 | + <divide/> |
| 27 | + <ci> kappa </ci> |
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| 29 | + <plus/> |
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| 35 | + <apply> |
| 36 | + <divide/> |
| 37 | + <ci> kappa </ci> |
| 38 | + <apply> |
| 39 | + <times/> |
| 40 | + <cn type="integer"> 400 </cn> |
| 41 | + <ci> xi_i_k </ci> |
| 42 | + </apply> |
| 43 | + </apply> |
| 44 | + <cn type="integer"> 1 </cn> |
| 45 | + </apply> |
| 46 | + <apply> |
| 47 | + <exp/> |
| 48 | + <apply> |
| 49 | + <minus/> |
| 50 | + <ci> rho </ci> |
| 51 | + </apply> |
| 52 | + </apply> |
| 53 | + </apply> |
| 54 | + </apply> |
| 55 | + </apply> |
| 56 | + </math> |
| 57 | + </initialAssignment> |
| 58 | + <initialAssignment symbol="V"> |
| 59 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 60 | + <ci> u_2 </ci> |
| 61 | + </math> |
| 62 | + </initialAssignment> |
| 63 | + <initialAssignment symbol="u_2"> |
| 64 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 65 | + <apply> |
| 66 | + <times/> |
| 67 | + <cn type="integer"> 1 </cn> |
| 68 | + <cn type="integer"> 1000000000 </cn> |
| 69 | + </apply> |
| 70 | + </math> |
| 71 | + </initialAssignment> |
| 72 | + </listOfInitialAssignments> |
| 73 | + <listOfRules> |
| 74 | + <rateRule variable="U"> |
| 75 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 76 | + <apply> |
| 77 | + <minus/> |
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| 79 | + <times/> |
| 80 | + <ci> rho </ci> |
| 81 | + <ci> U </ci> |
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| 83 | + <minus/> |
| 84 | + <cn type="integer"> 1 </cn> |
| 85 | + <apply> |
| 86 | + <divide/> |
| 87 | + <apply> |
| 88 | + <plus/> |
| 89 | + <ci> U </ci> |
| 90 | + <ci> I_1 </ci> |
| 91 | + <ci> I_2 </ci> |
| 92 | + <ci> I_3 </ci> |
| 93 | + <ci> I_4 </ci> |
| 94 | + <ci> I_5 </ci> |
| 95 | + </apply> |
| 96 | + <ci> kappa </ci> |
| 97 | + </apply> |
| 98 | + </apply> |
| 99 | + </apply> |
| 100 | + <apply> |
| 101 | + <times/> |
| 102 | + <ci> psi </ci> |
| 103 | + <ci> V </ci> |
| 104 | + <ci> U </ci> |
| 105 | + </apply> |
| 106 | + </apply> |
| 107 | + </math> |
| 108 | + </rateRule> |
| 109 | + <rateRule variable="I_1"> |
| 110 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
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| 114 | + <plus/> |
| 115 | + <apply> |
| 116 | + <times/> |
| 117 | + <ci> rho </ci> |
| 118 | + <ci> I_1 </ci> |
| 119 | + <apply> |
| 120 | + <minus/> |
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| 122 | + <apply> |
| 123 | + <divide/> |
| 124 | + <apply> |
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| 126 | + <ci> U </ci> |
| 127 | + <ci> I_1 </ci> |
| 128 | + <ci> I_2 </ci> |
| 129 | + <ci> I_3 </ci> |
| 130 | + <ci> I_4 </ci> |
| 131 | + <ci> I_5 </ci> |
| 132 | + </apply> |
| 133 | + <ci> kappa </ci> |
| 134 | + </apply> |
| 135 | + </apply> |
| 136 | + </apply> |
| 137 | + <apply> |
| 138 | + <times/> |
| 139 | + <ci> psi </ci> |
| 140 | + <ci> V </ci> |
| 141 | + <ci> U </ci> |
| 142 | + </apply> |
| 143 | + </apply> |
| 144 | + <apply> |
| 145 | + <times/> |
| 146 | + <ci> phi </ci> |
| 147 | + <ci> I_1 </ci> |
| 148 | + </apply> |
| 149 | + </apply> |
| 150 | + </math> |
| 151 | + </rateRule> |
| 152 | + <rateRule variable="I_2"> |
| 153 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 154 | + <apply> |
| 155 | + <minus/> |
| 156 | + <apply> |
| 157 | + <plus/> |
| 158 | + <apply> |
| 159 | + <times/> |
| 160 | + <ci> rho </ci> |
| 161 | + <ci> I_2 </ci> |
| 162 | + <apply> |
| 163 | + <minus/> |
| 164 | + <cn type="integer"> 1 </cn> |
| 165 | + <apply> |
| 166 | + <divide/> |
| 167 | + <apply> |
| 168 | + <plus/> |
| 169 | + <ci> U </ci> |
| 170 | + <ci> I_1 </ci> |
| 171 | + <ci> I_2 </ci> |
| 172 | + <ci> I_3 </ci> |
| 173 | + <ci> I_4 </ci> |
| 174 | + <ci> I_5 </ci> |
| 175 | + </apply> |
| 176 | + <ci> kappa </ci> |
| 177 | + </apply> |
| 178 | + </apply> |
| 179 | + </apply> |
| 180 | + <apply> |
| 181 | + <times/> |
| 182 | + <ci> phi </ci> |
| 183 | + <ci> I_1 </ci> |
| 184 | + </apply> |
| 185 | + </apply> |
| 186 | + <apply> |
| 187 | + <times/> |
| 188 | + <ci> phi </ci> |
| 189 | + <ci> I_2 </ci> |
| 190 | + </apply> |
| 191 | + </apply> |
| 192 | + </math> |
| 193 | + </rateRule> |
| 194 | + <rateRule variable="I_3"> |
| 195 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 196 | + <apply> |
| 197 | + <minus/> |
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| 199 | + <plus/> |
| 200 | + <apply> |
| 201 | + <times/> |
| 202 | + <ci> rho </ci> |
| 203 | + <ci> I_3 </ci> |
| 204 | + <apply> |
| 205 | + <minus/> |
| 206 | + <cn type="integer"> 1 </cn> |
| 207 | + <apply> |
| 208 | + <divide/> |
| 209 | + <apply> |
| 210 | + <plus/> |
| 211 | + <ci> U </ci> |
| 212 | + <ci> I_1 </ci> |
| 213 | + <ci> I_2 </ci> |
| 214 | + <ci> I_3 </ci> |
| 215 | + <ci> I_4 </ci> |
| 216 | + <ci> I_5 </ci> |
| 217 | + </apply> |
| 218 | + <ci> kappa </ci> |
| 219 | + </apply> |
| 220 | + </apply> |
| 221 | + </apply> |
| 222 | + <apply> |
| 223 | + <times/> |
| 224 | + <ci> phi </ci> |
| 225 | + <ci> I_2 </ci> |
| 226 | + </apply> |
| 227 | + </apply> |
| 228 | + <apply> |
| 229 | + <times/> |
| 230 | + <ci> phi </ci> |
| 231 | + <ci> I_3 </ci> |
| 232 | + </apply> |
| 233 | + </apply> |
| 234 | + </math> |
| 235 | + </rateRule> |
| 236 | + <rateRule variable="I_4"> |
| 237 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 238 | + <apply> |
| 239 | + <minus/> |
| 240 | + <apply> |
| 241 | + <plus/> |
| 242 | + <apply> |
| 243 | + <times/> |
| 244 | + <ci> rho </ci> |
| 245 | + <ci> I_4 </ci> |
| 246 | + <apply> |
| 247 | + <minus/> |
| 248 | + <cn type="integer"> 1 </cn> |
| 249 | + <apply> |
| 250 | + <divide/> |
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| 252 | + <plus/> |
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| 254 | + <ci> I_1 </ci> |
| 255 | + <ci> I_2 </ci> |
| 256 | + <ci> I_3 </ci> |
| 257 | + <ci> I_4 </ci> |
| 258 | + <ci> I_5 </ci> |
| 259 | + </apply> |
| 260 | + <ci> kappa </ci> |
| 261 | + </apply> |
| 262 | + </apply> |
| 263 | + </apply> |
| 264 | + <apply> |
| 265 | + <times/> |
| 266 | + <ci> phi </ci> |
| 267 | + <ci> I_3 </ci> |
| 268 | + </apply> |
| 269 | + </apply> |
| 270 | + <apply> |
| 271 | + <times/> |
| 272 | + <ci> phi </ci> |
| 273 | + <ci> I_4 </ci> |
| 274 | + </apply> |
| 275 | + </apply> |
| 276 | + </math> |
| 277 | + </rateRule> |
| 278 | + <rateRule variable="I_5"> |
| 279 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
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| 281 | + <minus/> |
| 282 | + <apply> |
| 283 | + <plus/> |
| 284 | + <apply> |
| 285 | + <times/> |
| 286 | + <ci> rho </ci> |
| 287 | + <ci> I_5 </ci> |
| 288 | + <apply> |
| 289 | + <minus/> |
| 290 | + <cn type="integer"> 1 </cn> |
| 291 | + <apply> |
| 292 | + <divide/> |
| 293 | + <apply> |
| 294 | + <plus/> |
| 295 | + <ci> U </ci> |
| 296 | + <ci> I_1 </ci> |
| 297 | + <ci> I_2 </ci> |
| 298 | + <ci> I_3 </ci> |
| 299 | + <ci> I_4 </ci> |
| 300 | + <ci> I_5 </ci> |
| 301 | + </apply> |
| 302 | + <ci> kappa </ci> |
| 303 | + </apply> |
| 304 | + </apply> |
| 305 | + </apply> |
| 306 | + <apply> |
| 307 | + <times/> |
| 308 | + <ci> phi </ci> |
| 309 | + <ci> I_4 </ci> |
| 310 | + </apply> |
| 311 | + </apply> |
| 312 | + <apply> |
| 313 | + <times/> |
| 314 | + <ci> alpha </ci> |
| 315 | + <ci> I_5 </ci> |
| 316 | + </apply> |
| 317 | + </apply> |
| 318 | + </math> |
| 319 | + </rateRule> |
| 320 | + <rateRule variable="V"> |
| 321 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 322 | + <apply> |
| 323 | + <minus/> |
| 324 | + <apply> |
| 325 | + <minus/> |
| 326 | + <apply> |
| 327 | + <times/> |
| 328 | + <ci> beta </ci> |
| 329 | + <ci> alpha </ci> |
| 330 | + <ci> I_5 </ci> |
| 331 | + </apply> |
| 332 | + <apply> |
| 333 | + <times/> |
| 334 | + <ci> psi </ci> |
| 335 | + <ci> V </ci> |
| 336 | + <ci> U </ci> |
| 337 | + </apply> |
| 338 | + </apply> |
| 339 | + <apply> |
| 340 | + <times/> |
| 341 | + <ci> delta </ci> |
| 342 | + <ci> V </ci> |
| 343 | + </apply> |
| 344 | + </apply> |
| 345 | + </math> |
| 346 | + </rateRule> |
| 347 | + </listOfRules> |
| 348 | + <listOfEvents> |
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| 351 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 352 | + <apply> |
| 353 | + <lt/> |
| 354 | + <ci> U </ci> |
| 355 | + <cn type="e-notation"> 1 <sep/> -8 </cn> |
| 356 | + </apply> |
| 357 | + </math> |
| 358 | + </trigger> |
| 359 | + <listOfEventAssignments> |
| 360 | + <eventAssignment variable="U"> |
| 361 | + <math xmlns="http://www.w3.org/1998/Math/MathML"> |
| 362 | + <cn type="integer"> 0 </cn> |
| 363 | + </math> |
| 364 | + </eventAssignment> |
| 365 | + </listOfEventAssignments> |
| 366 | + </event> |
| 367 | + </listOfEvents> |
| 368 | + </model> |
| 369 | +</sbml> |
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