On the global dynamics of a finance model

Recently several works have studied the following model of finance x˙=z+(y−a)x,y˙=1−by−x2,z˙=−x−cz,where a, b and c are positive real parameters. We study the global dynamics of this polynomial differential system, and in particular for a one-dimensional parametric subfamily we show that there is an equilibrium point which is a global attractor.