Figure 3

Let (4.1) hold and \(\alpha_{1} = 0.2\), \(\alpha_{2} = 0.2\), \(\alpha_{3}~= 0.3\) such that \(\lambda_{1}a_{11} \ge \lambda_{2}a_{21} + \lambda_{3}a_{31}\), \(\lambda_{2}a_{22} \ge \lambda_{1}a_{12} + \lambda_{3}a_{32}\) and \(\lambda_{3}a_{33} \ge \lambda_{1}a_{13} + \lambda_{2}a_{23}\) (Theorem 2.6). Then (1.2) is globally asymptotically stable.