<p>Intersections of <i>h</i><sub>1</sub>(<i>q</i>) and <i>h</i><sub>2</sub>(<i>q</i>) (i.e., the solutions of <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0142929#pone.0142929.e041" target="_blank">Eq (7)</a>) are shown for all sixteen possible situations. The red curves denote <i>h</i><sub>1</sub>(<i>q</i>) and the green curves <i>h</i><sub>2</sub>(<i>q</i>). The intersections denoted by black spots correspond to stable equilibria of dynamics (2), and the intersections denoted by black circles correspond to unstable equilibria. Parameters are taken as <i>β</i><sub>1</sub> = <i>β</i><sub>2</sub> = 0.01, <i>α</i><sub>1</sub> = 1, <i>α</i><sub>2</sub> = 2 and <i>c</i><sub>1</sub> = 0.5 in all sixteen panels. Payoff ma...
<p>(a) The performance of the dynamical network as measured by <i>f</i> converges either to a high-<...
The goal of this thesis was to examine global behaviour of solutions of a particular non-linear syst...
<p> as a function of for fixed values of For (green circle) the real part of Q takes, depending o...
<p>The red curves correspond to <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pon...
<p>In panel <b>a</b>, the number of equilibria and the number of stable equilibria are denoted by bl...
<p>The red curves correspond to the second equation of <a href="http://www.plosone.org/article/info:...
<p>For each of the three graphs, there is a curve <i>p</i> = <i>p</i><sup>*</sup>(<i>x</i>) (the blu...
<div><p>(A) Ψ(<i>m</i>) versus <i>m</i> for <i>a</i> = 0.001 and <i>β</i> = 0.1, 0.25, 0.5, and 1.2....
<p>In (a) we use the experimental values used in <a href="http://www.plosone.org/article/info:doi/10...
<p>(A) The eigenvalues are shown for continuous values of <i>ν</i> in different values of <i>D</i><s...
<p>The stability condition is satisfied when the eigenvalues are contained in the unit circle in the...
<p>The equilibria are at the intersection of the two nullclines, <i>dN/dt</i> = 0 (solid) and <i>dC/...
The dashed line at cei = 1 indicates the interpopulation and intrapopulation inhibition are the same...
<p>The blue line is computed using the parameters of <a href="http://www.plosone.org/article/info:do...
<p>The functions <i>f</i>(<i>P</i>) = <i>dP</i>/<i>dt</i> and <i>f</i>(<i>x</i>) = <i>dx</i>/<i>dt</...
<p>(a) The performance of the dynamical network as measured by <i>f</i> converges either to a high-<...
The goal of this thesis was to examine global behaviour of solutions of a particular non-linear syst...
<p> as a function of for fixed values of For (green circle) the real part of Q takes, depending o...
<p>The red curves correspond to <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pon...
<p>In panel <b>a</b>, the number of equilibria and the number of stable equilibria are denoted by bl...
<p>The red curves correspond to the second equation of <a href="http://www.plosone.org/article/info:...
<p>For each of the three graphs, there is a curve <i>p</i> = <i>p</i><sup>*</sup>(<i>x</i>) (the blu...
<div><p>(A) Ψ(<i>m</i>) versus <i>m</i> for <i>a</i> = 0.001 and <i>β</i> = 0.1, 0.25, 0.5, and 1.2....
<p>In (a) we use the experimental values used in <a href="http://www.plosone.org/article/info:doi/10...
<p>(A) The eigenvalues are shown for continuous values of <i>ν</i> in different values of <i>D</i><s...
<p>The stability condition is satisfied when the eigenvalues are contained in the unit circle in the...
<p>The equilibria are at the intersection of the two nullclines, <i>dN/dt</i> = 0 (solid) and <i>dC/...
The dashed line at cei = 1 indicates the interpopulation and intrapopulation inhibition are the same...
<p>The blue line is computed using the parameters of <a href="http://www.plosone.org/article/info:do...
<p>The functions <i>f</i>(<i>P</i>) = <i>dP</i>/<i>dt</i> and <i>f</i>(<i>x</i>) = <i>dx</i>/<i>dt</...
<p>(a) The performance of the dynamical network as measured by <i>f</i> converges either to a high-<...
The goal of this thesis was to examine global behaviour of solutions of a particular non-linear syst...
<p> as a function of for fixed values of For (green circle) the real part of Q takes, depending o...