Lower bounds for positive roots and regions of multistationarity in chemical reaction networks

Given a real sparse polynomial system, we present a general framework to find explicit coefficients for which the system has more than one positive solution. Our approach is based on the recent article by Bihan, Santos, and Spaenlehauer (2018). We apply this method to find explicit reaction rate constants and total conservation constants in biochemical reaction networks for which the associated dynamical system is multistationary.