The paper gives a chemical reaction network flavored generalization of the Next Generation Matrix theorem and reviews a symbolic-numeric approach for bifurcation analysis in positive ODEs using child selection minors.
[FW13] Elisenda Feliu and Carsten Wiuf,Simplifying biochemical models with intermediate species, J
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A cocktail of chemical reaction networks and mathematical epidemiology tools for positive ODE stability problems
The paper gives a chemical reaction network flavored generalization of the Next Generation Matrix theorem and reviews a symbolic-numeric approach for bifurcation analysis in positive ODEs using child selection minors.
- Perron-Volterra Lyapunov functions and competitive exclusion partitions in n-strain models with diagonal Metzler transversal Jacobian and rank-one blocks