Transcritical bifurcation yielding global stability for network processes (Q1988428)

In this paper, the dynamical system \[ \dot x(t)=f(x(t)) \tag{1} \] is considered in the unit cube \(Q=\{x\in \mathbb{R}^n: 0\le x_i\le 1, i=1,\dots,n\}\) where \(f:\mathbb{R}^n\to\mathbb{R}^n\) is a differentiable function. If \(x=0\) is a solution of system (1), the authors specify sufficient conditions of its global asymptotic stability.