A Dynamic Duopoly Cournot Model with R&D Efforts and Its Dynamic Behavior Analysis

<div>The two-dimensional bifurcation of system (<a href="https://static.hindawi.com/articles/complexity/volume-2020/9634878/figures/#EEq33">33</a>) with respect to a pair of parameters <span class="nowrap"><svg height="12.4698pt" id="M358" style="vertical-align:-3.18147pt" version="1.1" viewbox="-0.0498162 -9.28833 38.3474 12.4698" width="38.3474pt" 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="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,4.498,0)"><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 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Complexity

fig9

Figure 9

Figure 9: A Dynamic Duopoly Cournot Model with R&D Efforts and Its Dynamic Behavior Analysis 