7 citations · 11 across the 16 of their papers we have counts for
3 papers · 1 filter
Algorithmic approach for an unique definition of the next generation matrix
Florin Avram, Rim Adenane, Lasko Basnarkov +1
The basic reproduction number R0 is a concept which originated in population dynamics, mathematical epidemiology, and ecology and is closely related to the mean number of children…
Dynamics of an SIR epidemic model with limited medical resources, revisited and corrected
Rim Adenane, Florin Avram, Mohamed El Fatini +1
This paper generalizes and corrects a famous paper (more than 200 citations) concerning Hopf and Bogdanov-Takens bifurcations due to L. Zhou and M. Fan, "Dynamics of an SIR epidemi…
Explicit mathematical epidemiology results on age renewal kernels and R0 formulas are often consequences of the rank one property of the next generation matrix
Florin Avram, Rim Adenane, Dan Goreac +1
A very large class of ODE epidemic models (2.2) discussed in this paper enjoys the property of admitting also an integral renewal formulation, with respect to an "age of infection…