Suppose a competing species system with variables \(x = (r, s)\), with r representing rabbits and s representing sheep, has critical points \(x^0 = (0, 0)\), \(x^1 = (0, 3)\), \(x^2 = (3, 0)\), and \(x^3 = \left(\begin{array}{c}1\\1\end{array}\right)\) Also assume that: \(\cdot x^0\) is a source node; \(\cdot x^1\) and \(x^2\) are sink nodes; \(\cdot x^3\) is a saddle node where the eigenvector with negative eigenvalue points in the direction of \(x^0\), while the eigenvector with positive eigenvalue points approximately in the directions of \(x^1, x^2\) What does this system predicts about the populations of the two species given any physically realistic initial data? The model predicts that for all physically realistic initial data only sheep survive while rabbits go extinct. The model predicts that for all physically realistic initial data only rabbits survive and sheep go extinct. It is not possible to answer the question with the data provided. None of the options displayed. The model predicts that for all physically realistic initial data both species, rabbits and sheep, go extinct. The model predicts that, depending on the initial data, only one species either rabbits or sheep, survive while the other goes extinct. The model predicts that for all physically realistic initial data both species, rabbits and sheep, survive and coexist.