The Impact of Media Coverage and Emergency Strategies on the Rumor Spreading

<div>The relationship between the basic reproduction number <svg height="12.5273pt" id="M150" style="vertical-align:-3.29115pt" version="1.1" viewbox="-0.0498162 -9.23615 16.4507 12.5273" width="16.4507pt" 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="M813 114C785 84 767 69 759 69C706 69 706 154 694 237C687 293 662 353 617 381V383C698 414 741 479 741 555C741 596 724 631 689 660C655 689 607 704 545 704L412 607C365 666 306 695 235 695C183 695 139 681 103 653C68 626 50 588 50 540C50 450 164 435 164 350C164 311 125 281 89 269L98 247C143 258 181 278 214 307S264 368 264 401C264 490 191 500 161 550C134 588 153 667 216 664C288 664 324 578 324 405C324 364 324 330 323 305S321 247 318 208S310 140 302 119C295 99 285 89 273 89S221 109 153 150L59 5L81 -9C92 8 107 25 125 40C137 38 176 17 243 -22C339 71 412 201 440 322L514 340C549 329 566 278 566 187C566 141 574 97 589 56C605 15 630 -11 665 -22H679C702 -9 728 10 759 34S813 78 829 94L813 114ZM444 357C447 386 448 422 448 465C448 500 441 536 428 573C468 613 492 627 531 627C560 627 583 617 599 596C616 575 624 554 624 531C624 456 582 387 477 364L444 357Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.362,3.132)"><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> and the model parameters <span class="nowrap"><svg height="9.49473pt" id="M151" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 6.84582 9.49473" width="6.84582pt" 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="M494 514C482 587 419 712 303 712C238 712 174 667 174 603C174 561 205 514 249 449C219 438 187 422 162 407C93 366 23 283 23 177C23 69 87 -12 190 -12C244 -12 288 5 328 33C406 87 444 170 444 249C444 329 404 391 331 475C265 550 222 605 222 627C222 647 238 657 267 657C355 657 421 585 484 499L494 514ZM359 234C359 143 319 30 219 30C172 30 114 75 114 178C114 275 163 343 195 378C212 397 241 415 269 425C305 382 359 313 359 234Z"></path></g></svg>,</span> <span class="nowrap"><svg height="9.25202pt" id="M152" style="vertical-align:-3.29111pt" version="1.1" viewbox="-0.0498162 -5.96091 15.2763 9.25202" width="15.2763pt" 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="M766 88L752 113C719 83 690 64 681 64C674 64 672 74 679 103L724 292C758 436 724 448 701 448C680 448 666 442 639 429C594 407 514 350 441 252H439L447 289C476 423 450 448 419 448C398 448 379 441 355 427C307 400 234 344 162 249H160L180 324C203 409 197 448 170 448C144 448 82 413 23 349L35 321C57 343 96 374 108 374C115 374 117 371 111 341C87 227 57 112 24 -6L32 -12C53 -4 81 4 108 6C119 68 134 128 149 171C177 229 309 383 364 383C387 383 388 355 373 282C354 190 330 92 303 -6L309 -12C332 -4 356 3 386 6C396 63 411 122 424 171C458 236 590 383 642 383C658 383 664 369 652 315L603 91C587 20 593 -12 619 -12C642 -12 708 23 766 88Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.192,3.132)"><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> <span class="nowrap"><svg height="6.1673pt" id="M153" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -5.96091 7.51131 6.1673" width="7.51131pt" 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="M545 106L524 126C493 85 467 65 455 65C438 65 427 113 405 238C448 295 498 362 543 439L533 448L478 435C453 386 423 331 398 295H395C370 404 347 448 282 448C169 448 23 309 23 153C23 54 65 -12 128 -12C203 -12 283 70 339 155H341C360 29 380 -12 411 -12C444 -12 491 11 545 106ZM333 204C265 95 210 54 169 54C137 54 113 96 113 171C113 302 191 405 252 405C301 405 318 306 333 204Z"></path></g></svg>,</span> and <svg height="9.49473pt" id="M154" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -9.28833 7.30254 9.49473" width="7.30254pt" 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="M529 97L508 118C475 75 449 58 438 58C428 58 421 66 415 104C393 234 374 403 364 496C345 670 307 712 254 712C220 712 174 691 153 669L161 645C176 653 194 658 206 658C237 658 261 640 278 562C287 522 290 483 293 434C223 269 110 105 23 9L32 -12C59 -6 85 0 108 7C152 64 251 252 300 366C307 297 315 221 337 82C346 24 363 -12 393 -12C425 -12 475 13 529 97Z"></path></g></svg> on BA scale-free network.</div>

Discrete Dynamics in Nature and Society

fig2

Figure 2

Figure 2: The Impact of Media Coverage and Emergency Strategies on the Rumor Spreading 