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math.DS2024
Generalized Lotka-Volterra Systems and Complex Balanced Polyexponential Systems
Diego Rojas La Luz, Gheorghe Craciun, Polly Y. Yu
We study the global stability of generalized Lotka-Volterra systems with generalized polynomial right-hand side, without restrictions on the number of variables or the polynomial d…
q-bio.MN2024
The Dimension of the Disguised Toric Locus of a Reaction Network
Gheorghe Craciun, Abhishek Deshpande, Jiaxin Jin
Under mass-action kinetics, complex-balanced systems emerge from biochemical reaction networks and exhibit stable and predictable dynamics. For a reaction network , the associat…