Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td class="align_left">State variable</td><td class="align_center">Initial value</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td class="align_left"><span style="width: 11.9737ptpx;"><svg height="11.9244pt" id="M377" style="vertical-align:-3.28197pt" version="1.1" viewbox="-0.0498162 -8.64243 11.9737 11.9244" width="11.9737pt" 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="M442 495C434 557 427 602 423 639C405 645 348 665 284 665C142 665 55 579 55 469C55 373 127 319 229 267C304 227 348 190 348 131C348 67 309 25 248 25C152 25 93 138 73 202L38 190C45 130 58 46 68 21C81 15 100 7 128 -1C158 -10 193 -15 229 -15C375 -15 472 74 472 188C472 287 400 343 295 394C207 439 171 470 171 525C171 583 212 624 268 624C349 624 387 550 407 487L442 495Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.59,3.132)"><path d="M264 635C97 635 40 460 40 311C40 167 94 -12 262 -12C431 -12 484 166 484 312C484 457 431 635 264 635ZM261 595C330 595 347 450 347 314C347 174 330 28 263 28C195 28 177 174 177 315C177 450 194 595 261 595Z"></path></g></svg></span></td><td class="align_center">9375</td></tr><tr><td class="align_left"><span style="width: 12.9654ptpx;"><svg height="11.7156pt" id="M378" style="vertical-align:-3.28196pt" version="1.1" viewbox="-0.0498162 -8.43364 12.9654 11.7156" width="12.9654pt" 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="M535 173C517 129 499 97 479 75C456 50 421 43 369 43C331 43 297 45 279 53C259 63 255 87 255 135V309H322C407 309 420 305 433 233H469V434H433C420 364 406 359 322 359H255V571C255 604 259 606 296 606H344C400 606 427 599 444 581C462 563 475 530 484 495L521 500C517 562 512 632 511 650H40V615C111 609 121 604 121 517V133C121 48 111 42 26 35V0H536C544 30 564 121 571 166L535 173Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.581,3.132)"><path d="M264 635C97 635 40 460 40 311C40 167 94 -12 262 -12C431 -12 484 166 484 312C484 457 431 635 264 635ZM261 595C330 595 347 450 347 314C347 174 330 28 263 28C195 28 177 174 177 315C177 450 194 595 261 595Z"></path></g></svg></span></td><td class="align_center">125</td></tr><tr><td class="align_left"><span style="width: 10.3165ptpx;"><svg height="11.7156pt" id="M379" style="vertical-align:-3.28196pt" version="1.1" viewbox="-0.0498162 -8.43364 10.3165 11.7156" width="10.3165pt" 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="M338 0V35C263 42 255 49 255 133V516C255 602 263 608 338 615V650H37V615C112 608 121 602 121 516V133C121 49 112 42 37 35V0H338Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,4.932,3.132)"><path d="M264 635C97 635 40 460 40 311C40 167 94 -12 262 -12C431 -12 484 166 484 312C484 457 431 635 264 635ZM261 595C330 595 347 450 347 314C347 174 330 28 263 28C195 28 177 174 177 315C177 450 194 595 261 595Z"></path></g></svg></span></td><td class="align_center">313</td></tr><tr><td class="align_left"><span style="width: 13.9832ptpx;"><svg height="11.7156pt" id="M380" style="vertical-align:-3.28196pt" version="1.1" viewbox="-0.0498162 -8.43364 13.9832 11.7156" width="13.9832pt" 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="M660 23C638 31 621 43 599 66C580 87 558 119 523 175C493 221 456 287 441 317C508 344 566 392 566 480C566 542 539 586 499 613C458 640 408 650 320 650H39V615C112 608 121 598 121 518V134C121 51 110 42 35 35V0H337V35C261 42 252 51 252 134V280H271C303 280 321 267 337 237C366 184 393 130 419 89C460 26 498 -2 624 -8C637 -8 648 -9 654 -9L660 23ZM252 320V563C252 584 254 594 261 600C267 606 281 610 306 610C362 610 424 572 424 465C424 414 410 374 376 346C354 327 320 320 278 320H252Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.599,3.132)"><path d="M264 635C97 635 40 460 40 311C40 167 94 -12 262 -12C431 -12 484 166 484 312C484 457 431 635 264 635ZM261 595C330 595 347 450 347 314C347 174 330 28 263 28C195 28 177 174 177 315C177 450 194 595 261 595Z"></path></g></svg></span></td><td class="align_center">0</td></tr><tr><td class="align_left"><span style="width: 15.0401ptpx;"><svg height="11.7156pt" id="M381" style="vertical-align:-3.28196pt" version="1.1" viewbox="-0.0498162 -8.43364 15.0401 11.7156" width="15.0401pt" 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="M724 650H480V616C554 612 574 595 579 552C582 523 587 476 587 387V211H584L201 650H16V616C59 612 81 604 100 580S120 538 120 472V264C120 176 114 131 110 98C106 55 83 39 27 35V0H272V35C198 38 181 57 176 101C173 131 168 176 168 264V488H171L587 -10H635V387C635 476 641 523 644 554C649 599 670 613 724 616V650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.656,3.132)"><path d="M264 635C97 635 40 460 40 311C40 167 94 -12 262 -12C431 -12 484 166 484 312C484 457 431 635 264 635ZM261 595C330 595 347 450 347 314C347 174 330 28 263 28C195 28 177 174 177 315C177 450 194 595 261 595Z"></path></g></svg></span></td><td class="align_center">10,000</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Initial values of the SEIR epidemic model.</div>

Computational and Mathematical Methods in Medicine

tab2

Table 2

Table 2: Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate 

Table 2 | Optimal Allocation of Vaccine and Antiviral Drugs for Influenza Containment over Delayed Multiscale Epidemic Model considering Time-Dependent Transmission Rate 