4 papers
A Perron-Frobenius strong threshold theorem for (A, B, P, Ï) 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…
A cocktail of chemical reaction networks and mathematical epidemiology tools for positive ODE stability problems
Florin Avram, Rim Adenane, Andrei-Dan Halanay
We continue recent attempts to put together concepts and results of Chemical Reaction Networks theory (CRNT) and Mathematical Epidemiology (ME), for solving problems of stability o…
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…