Before revision: For a class of polynomial kinetic systems, this work examines connections between system parameters, and uniqueness and stability of the resulting equilibria. Such systems are typically employed to describe nonlinear dynamics in chemical reaction networks, but over the last years they proved useful in modeling a wide range of nonlinear dynamic systems with applications in biology, process systems, economics or transportation problems.
After revision: For a class of polynomial kinetic systems, this work examines connections between system parameters, and uniqueness and stability of equilibria, for kinetic systems given in the form of polynomial ODEs. Such models are commonly used to describe the dynamics of nonnegative systems, with a wide range of nonlinear dynamic systems with applications in biology, process systems, economics or transportation problems.