5 papers
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…
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…
Triangularity of the Jacobian on siphon faces, the Metzler property of its transversal component and other results
Florin Avram, Rim Adenane, Andrei-Dan Halanay
We establish two structural properties of the Jacobian of a positive ODE on any invariant boundary face, i.e. on the face defined by a siphon of an associated Chemical Reaction Net…
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…
Modeling the Impact of Misinformation Dynamics on Antimicrobial Resistance
Laurance Fakih, Andrei Halanay
Antimicrobial Resistance (RAM) poses a significant threat to global public health, making important medicines less useful. While the medical and biological reasons behind RAM are w…