A Mathematical Model of the Transmission Dynamics and Control of Bovine Brucellosis in Cattle

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left">Vaccination (<span class="nowrap"><svg height="9.39034pt" id="M119" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 6.63704 9.39034" width="6.63704pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M478 372C478 418 458 448 431 448C409 448 389 431 389 410C389 404 391 400 394 395C398 388 406 371 406 348C406 253 308 122 251 51H249C254 122 249 257 231 336C212 421 189 448 159 448C126 448 75 412 23 327L48 306C83 354 103 371 115 371C125 371 134 360 144 334C185 224 192 64 183 -19C146 -100 116 -202 110 -244L125 -261C154 -259 208 -234 222 -220C222 -194 225 -84 235 -23C247 -3 273 36 308 79C379 165 478 288 478 372Z"></path></g></svg>)</span></td><td class="align_center">Biosecurity protocols (<span class="nowrap"><svg height="6.1673pt" id="M120" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 5.63229 6.1673" width="5.63229pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M401 397C401 420 368 448 302 448C245 448 169 416 122 377C62 327 23 254 23 169C23 45 83 -12 181 -12C252 -12 323 29 374 85L358 107C305 62 257 43 210 43C147 43 110 98 110 189V214L313 208L321 256L115 250C132 342 190 405 253 405C291 405 323 389 346 360C356 348 364 348 377 357C392 367 401 384 401 397Z"></path></g></svg>)</span></td><td class="align_center">Culling of seropositive cattle (<span class="nowrap"><svg height="9.59912pt" id="M121" style="vertical-align:-3.63821pt" version="1.1" viewbox="-0.0498162 -5.96091 7.69399 9.59912" width="7.69399pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M565 434L556 448L482 423L322 189L287 373C280 410 261 448 236 448C207 448 161 415 110 338L131 317C160 355 181 374 193 374C204 374 208 366 217 330C230 279 247 185 259 116L50 -175C18 -223 29 -260 41 -278H51C97 -198 207 -33 270 57L313 -165C328 -235 349 -261 376 -261S445 -244 510 -150L487 -127C444 -178 423 -186 411 -186C402 -186 398 -177 387 -130C371 -62 349 39 332 135C390 217 524 392 565 434Z"></path></g></svg>)</span></td><td class="align_center"><span style="width: 17.3641ptpx;"><svg height="12.3054pt" id="M122" style="vertical-align:-3.29108pt" version="1.1" viewbox="-0.0498162 -9.01432 17.3641 12.3054" width="17.3641pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M852 669C820 657 792 643 768 628C705 667 627 687 547 687C310 687 154 548 154 412C154 332 212 282 296 282C434 282 515 426 523 557H503C474 402 410 312 298 312C241 312 195 352 195 408C195 535 341 657 546 657C613 657 683 644 738 609C640 538 574 431 486 271C374 71 314 16 189 16C118 16 69 60 69 95H71C78 84 93 83 101 83C129 83 144 106 144 131C144 160 121 179 93 179C60 179 34 151 34 108C34 42 100 -15 207 -15C364 -15 491 73 603 304C614 297 639 293 650 293C681 293 683 254 683 245C683 181 599 150 599 70C599 21 645 -12 692 -12C747 -12 804 30 868 103L851 119C789 52 741 18 706 18C685 18 674 29 674 52C674 92 750 157 750 226C750 257 727 287 696 310V312C812 315 876 394 876 473C876 525 849 577 793 612C812 627 832 639 859 650L852 669ZM814 486C814 417 765 345 686 337C669 348 649 354 626 354C673 451 708 533 766 588C799 561 814 525 814 486Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,12.272,3.132)"><path d="M245 635C92 635 37 457 37 312C37 149 91 -12 244 -12C395 -12 449 166 449 312C449 469 395 635 245 635ZM243 598C332 598 358 454 358 312C358 173 334 26 245 26C158 26 128 174 128 313S152 598 243 598Z"></path></g></svg></span></td><td class="align_center">Rank</td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">0.1</td><td class="align_center">0.011</td><td class="align_center">0</td><td class="align_center">2.1948</td><td class="align_center">R3</td></tr><tr><td class="align_left">0.1</td><td class="align_center">0</td><td class="align_center">0.14</td><td class="align_center">1.7083</td><td class="align_center">R2</td></tr><tr><td class="align_left">0</td><td class="align_center">0.011</td><td class="align_center">0.14</td><td class="align_center">4.8076</td><td class="align_center">R4</td></tr><tr><td class="align_left">0.1</td><td class="align_center">0.011</td><td class="align_center">0.14</td><td class="align_center">1.2938</td><td class="align_center">R1</td></tr><tr class="table-tr"><td colspan="5"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Combination of control measures and the ranks of their basic reproduction numbers.</div>

Abstract and Applied Analysis

tab4

Table 4

Table 4: A Mathematical Model of the Transmission Dynamics and Control of Bovine Brucellosis in Cattle 