Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect

<table class="figure-group"><tr class="fig-image" id="a"><td><object data="https://static-preview.hindawi.com/articles/aaa/volume-2014/673424/figures/673424.fig.003a.svgz" name="673424.fig.003a" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(a) </b>Bifurcation structure</td></tr><tr class="fig-image" id="b"><td><object data="https://static-preview.hindawi.com/articles/aaa/volume-2014/673424/figures/673424.fig.003b.svgz" name="673424.fig.003b" type="image/svg+xml"></object></td></tr><tr class="fig-caption"><td><b>(b) </b><svg height="9.89089pt" id="M342" style="vertical-align:-0.2129898pt" version="1.1" viewbox="-0.0498162 -9.6779 71.476 9.89089" width="71.476pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><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 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<div>Bifurcation structure of <svg height="12.3115pt" id="M337" style="vertical-align:-3.31355pt" version="1.1" viewbox="-0.0498162 -8.99795 19.3589 12.3115" width="19.3589pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z" id="g113-70"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="616" vert-adv-y="616"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,8.278,3.264)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 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vert-adv-y="611"></glyph.data></g></svg> for Hopf bifurcation and phase portraits of system (<a href="https://static-preview.hindawi.com/articles/aaa/volume-2014/673424/figures/#EEq1.3">7</a>) for <svg height="12.2707pt" id="M338" style="vertical-align:-3.57194pt" version="1.1" viewbox="-0.0498162 -8.69876 46.0732 12.2707" width="46.0732pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M546 430L539 434C529 434 505 438 495 440C473 444 450 448 430 448C352 448 265 412 213 366C145 306 96 203 96 103C96 22 135 -12 160 -12C190 -12 238 14 262 32C310 68 368 120 411 184H413C403 117 396 75 384 21C353 -118 325 -158 291 -184C270 -200 241 -205 208 -205C133 -205 90 -164 74 -110C70 -98 58 -100 49 -107C34 -119 23 -140 23 -155C23 -190 74 -261 166 -261C219 -261 280 -233 314 -208C383 -157 446 -79 470 81C491 223 529 388 546 430ZM456 386C452 357 433 283 420 252C402 216 366 174 325 129C288 88 239 56 212 56C192 56 182 77 182 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Abstract and Applied Analysis

Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect

Figure 3