Equilibria of Eq (2) on the <i>p</i> − <i>q</i> plane and their stabilities when <i>c</i>₁ > 0 and <i>c</i>₂ > 0.

<p>The red curves correspond to <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0142929#pone.0142929.e097" target="_blank">Eq (10)</a> and the green curves <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0142929#pone.0142929.e096" target="_blank">Eq (9)</a>. The intersections denoted by black spot correspond to stable equilibria of dynamics (2), and the intersections denoted by black circle correspond to unstable equilibria. Parameters are taken as: In panel <b>a</b>, <b>A</b> = [0, 1; 1, 0], <b>B</b> = [0, 5; 5, 0], <i>β</i>₁ = <i>β</i>₂ = 0.01, <i>α</i>₁ = 1.25, <i>α</i>₂ = 1.8, <i>c</i>₁ = 0.25 and <i>c</i>₂ = 0.8. In panel <b>b</b>, <b>A</b> = [0, 1; 1, 0], <b>B</b> = [0, 5; 5, 0], <i>β</i>₁ = <i>β</i>₂ = 0.01, <i>α</i>₁ = 1.125, <i>α</i>₂ = 0.1, <i>c</i>₁ = 0.125 and <i>c</i>₂ = 0.8. In panel <b>c</b>, <b>A</b> = [1, 0; 0, 1], <b>B</b> = [5, 0; 0, 5], <i>β</i>₁ = <i>β</i>₂ = 0.001, <i>α</i>₁ = 1.4, <i>α</i>₂ = 1.5, <i>c</i>₁ = 0.4 and <i>c</i>₂ = 0.5. In panel <b>d</b>, <b>A</b> = [0, 1; 1, 0], <b>B</b> = [5, 0; 0, 5] <i>β</i>₁ = <i>β</i>₂ = 0.001, <i>α</i>₁ = 1.5, <i>α</i>₂ = 1.2, <i>c</i>₁ = 0.5 and <i>c</i>₂ = 0.2. In panel <b>e</b>, <b>A</b> = [0, 5; 1, 0], <b>B</b> = [1, 0; 0, 5], <i>β</i>₁ = <i>β</i>₂ = 0.001, <i>α</i>₁ = 1.5, <i>α</i>₂ = 1.2, <i>c</i>₁ = 0.5 and <i>c</i>₂ = 0.2. In panel <b>f</b>, <b>A</b> = [0, 5; 1, 0], <b>B</b> = [0, 1; 5, 0], <i>β</i>₁ = <i>β</i>₂ = 0.001, <i>α</i>₁ = 1.5, <i>α</i>₂ = 1.2, <i>c</i>₁ = 0.5 and <i>c</i>₂ = 0.2. In panel <b>g</b>, <b>A</b> = [1, 0; 0, 5], <b>B</b> = [5, 0; 0, 1], <i>β</i>₁ = <i>β</i>₂ = 0.001, <i>α</i>₁ = 1.4, <i>α</i>₂ = 1.5, <i>c</i>₁ = 0.4 and <i>c</i>₂ = 0.5. In panel <b>h</b>, <b>A</b> = [1, 0; 0, 1], <b>B</b> = [2, 0; 0, 1], <i>β</i>₁ = 0.05, <i>β</i>₂ = 0.01, <i>α</i>₁ = 1.75, <i>α</i>₂ = 2, <i>c</i>₁ = 0.25 and <i>c</i>₂ = 0.01. The positions of <i>p</i>* and <i>q</i>* are marked by dashed lines (0 < <i>p</i>*, <i>q</i>* < 1, and note that <i>p</i>* and <i>q</i>* may not be ESS).