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math.DS2026
Canard points in planar mass-action networks: a flux criterion, a duality, and a complete classification
Miruna-Mihaela Beldiman, Andrei-Dan Halanay
We determine which mass-action reaction networks on two species, one fast and one slow, admit a canard point: a singular Hopf bifurcation at a fold of the critical manifold, follow…
math.DS2026
A Perron-Frobenius strong threshold theorem for (A, B, P, ϕ) balanced bilinear models, and the role of left and right Perron eigenvectors in mathematical epidemiology
Florin Avram, Rim Adenane, Andrei-Dan Halanay +2
This paper started as a review of seven results pertaining to a family of bilinear models with rank one NGM introduced by Fall, Iggidr, Sallet and Bonzi, which utilize the explicit…
math.DS2026
Relay transitions and invasion thresholds in multi-strain rumor models: a chemical reaction network approach
Florin Avram, Rim Adenane, Andrei-Dan Halanay
The historical quest for unifying the concepts and methods of Chemical Reaction Networks theory (CRNT), Mahematical Epidemiology (ME) and ecology has received increased attention i…