A Tutorial on Chemical Reaction Network Dynamics

Chemical Reaction Networks (CRNs for short) can be effectively modeled by means of nonlinear, parameter-dependent systems of ordinary differential equations. The uncertain knowledge of parameters makes for the need of qualitative tools which relate structure and dynamics of such nonlinear systems. We present an account of different results which allow to claim properties such as global asymptotic stability, persistence, monotonicity and existence of a unique equilibrium on the basis of graphical representations of the network.