# Permanence and the distance from the convex hull to the interior equilibrium

Background To use permanence, Lotka-Volterra dynamics have to be assumed, because it is only in this case that a sufficient condition for permanence is known: $\dot{x}_{i} = x_i \cdot f_i(x) = x_i \cdot (r_i + (A \cdot x)_i) \quad \forall i = 1, \ldots, n.$ Such a dynamical system is permanent if two conditions hold (Hofbauer and Sigmund 1988, The theory of evolution … Continue reading Permanence and the distance from the convex hull to the interior equilibrium