43 citations · 125 across the 26 of their papers we have counts for
28 papers
On the computation of fold and cusp bifurcations in mass action networks via dual equations
Murad Banaji
This paper presents some results useful in identifying or ruling out fold and cusp bifurcations in mass action networks, and hence in studying multistationarity in these networks.…
Outbreak dynamics and population vulnerability in stochastic epidemic models on networks
Makoto Ueki, Robin N. Thompson, Murad Banaji
During infectious disease epidemics, pathogen transmission occurs in host populations made up of interacting subpopulations. Using stochastic simulation and analytical approximatio…
Positive equilibria in mass action networks: geometry and bounds
Murad Banaji, Elisenda Feliu
Any mass action network gives rise to a parameterised family of polynomial equations whose positive solutions are the positive equilibria of the network. Here, we consider alternat…
Bifurcations in planar, quadratic mass-action networks with few reactions and low molecularity
Murad Banaji, Balázs Boros, Josef Hofbauer
In this paper we study bifurcations in mass-action networks with two chemical species and reactant complexes of molecularity no more than two. We refer to these as planar, quadrati…
The inheritance of local bifurcations in mass action networks
Murad Banaji, Balázs Boros, Josef Hofbauer
We consider local bifurcations of equilibria in dynamical systems arising from chemical reaction networks with mass action kinetics. In particular, given any mass action network ad…
Oscillations in three-reaction quadratic mass-action systems
Murad Banaji, Balázs Boros, Josef Hofbauer
It is known that rank-two bimolecular mass-action systems do not admit limit cycles. With a view to understanding which small mass-action systems admit oscillation, in this paper w…