The positive equilibrium <i>E</i>* is globally asymptotically stable.

<p>(a) The parameters take the values of V1 in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0130669#pone.0130669.t001" target="_blank">Table 1</a>. (b) The parameters take the values of V2 in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0130669#pone.0130669.t001" target="_blank">Table 1</a>. In this case, the reproduction is high while the losses and competition are low. The solution curves eventually tend to high population level up to 30–50 times of the solution curves in (a) starting from the same initial values (0, 2), which depicts the invaders colonize and multiply from rare species to dominated species.