Snapshots of the coexisting peaks for the extreme case.

<p>A) The top panel shows the coexistence of three peaks when </p><p></p><p></p><p><mo>Δ</mo></p><p><mi>s</mi><mn>1</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>65</mn><mo>,</mo><mo>Δ</mo><p><mi>s</mi><mn>2</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>35</mn><mo>></mo><mo>Δ</mo><p><mi>s</mi></p><p><mi>c</mi><mi>r</mi><mi>i</mi><mi>t</mi></p><mo>*</mo><p></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>2598</mn><mo>,</mo><p></p><p></p><p></p> and with <i>symmetric</i> variations, i.e., <i>D</i>₁ = <i>D</i>₂ = 0.2 (where <p></p><p></p><p></p><p><mi>s</mi><mn>1</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>15</mn><p></p><p></p><p></p>, <p></p><p></p><p></p><p><mi>s</mi><mn>2</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>45</mn><p></p><p></p><p></p>, <p></p><p></p><p></p><p><mi>s</mi><mi>R</mi><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>8</mn><p></p><p></p><p></p>, <i>σ</i> = 0.1), see Video O in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0128121#pone.0128121.s001" target="_blank">S1 File</a>. B) and C) Three or four peaks may coexist when <p></p><p></p><p><mo>Δ</mo></p><p><mi>s</mi><mn>1</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>,</mo><mo>Δ</mo><p><mi>s</mi><mn>2</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>3</mn><mo>></mo><mo>Δ</mo><p><mi>s</mi></p><p><mi>c</mi><mi>r</mi><mi>i</mi><mi>t</mi></p><mo>*</mo><p></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>2598</mn><p></p><p></p><p></p> but with <i>asymmetric</i> variations, i.e., <i>D</i>₁ > <i>D</i>₂ (where <p></p><p></p><p></p><p><mi>s</mi><mn>1</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>3</mn><p></p><p></p><p></p>, <p></p><p></p><p></p><p><mi>s</mi><mn>2</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn><p></p><p></p><p></p>, <p></p><p></p><p></p><p><mi>s</mi><mi>R</mi><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>8</mn><p></p><p></p><p></p>, <i>σ</i> = 0.1, with <i>D</i>₁ = 0.05 and <i>D</i>₂ = 0.02 for (B), and <i>D</i>₁ = 0.0420 and <i>D</i>₂ = 0.0225 for (C)), see R and S Videos in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0128121#pone.0128121.s001" target="_blank">S1 File</a>, respectively. The bottom panels (D.1 and D.2) show the snapshots at different times when <p></p><p></p><p><mo>Δ</mo></p><p><mi>s</mi><mn>1</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>35</mn><mo>></mo><mo>Δ</mo><p><mi>s</mi></p><p><mi>c</mi><mi>r</mi><mi>i</mi><mi>t</mi></p><mo>*</mo><p></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>2598</mn><mo>></mo><mo>Δ</mo><p><mi>s</mi><mn>2</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>2</mn><p></p><p></p><p></p>, and with <i>asymmetric</i> variations (where <p></p><p></p><p></p><p><mi>s</mi><mn>1</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>45</mn><p></p><p></p><p></p>, <p></p><p></p><p></p><p><mi>s</mi><mn>2</mn><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>6</mn><p></p><p></p><p></p>, <p></p><p></p><p></p><p><mi>s</mi><mi>R</mi><mo>*</mo></p><mo>=</mo><mn>0</mn><mo>.</mo><mn>8</mn><p></p><p></p><p></p>, <i>σ</i> = 0.1, with <i>D</i>₁ = 0.05 and <i>D</i>₂ = 0.01), see Video U in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0128121#pone.0128121.s001" target="_blank">S1 File</a>. The dashed lines show the locations of <p></p><p></p><p></p><p><mi>s</mi><mn>1</mn><mo>*</mo></p><p></p><p></p><p></p>, <p></p><p></p><p></p><p><mi>s</mi><mn>2</mn><mo>*</mo></p><p></p><p></p><p></p>, and <p></p><p></p><p></p><p><mi>s</mi><mi>R</mi><mo>*</mo></p><p></p><p></p><p></p>, while the solid lines represent the the theoretically calculated threshold(s) for the single peak population distribution case, i.e., <p></p><p></p><p><mo>Δ</mo></p><p><mi>s</mi></p><p><mi>c</mi><mi>r</mi><mi>i</mi><mi>t</mi></p><mo>*</mo><p></p><mo>=</mo><mn>3</mn><p><mn>3</mn></p><mi>σ</mi><mo>/</mo><mn>2</mn><p></p><p></p><p></p>.<p>