27 citations · 144 across the 15 of their papers we have counts for
4 papers · 1 filter
The smallest bimolecular mass-action system with a vertical Andronov-Hopf bifurcation
Murad Banaji, Balázs Boros, Josef Hofbauer
We present a three-dimensional differential equation, which robustly displays a degenerate Andronov-Hopf bifurcation of infinite codimension, leading to a center, i.e., an invarian…
Permanence via invasion graphs: Incorporating community assembly into Modern Coexistence Theory
Josef Hofbauer, Sebastian J. Schreiber
To understand the mechanisms underlying species coexistence, ecologists often study invasion growth rates of theoretical and data-driven models. These growth rates correspond to av…
Limit cycles in mass-conserving deficiency-one mass-action systems
Balázs Boros, Josef Hofbauer
We present some simple mass-action systems with limit cycles that fall under the scope of the Deficiency-One Theorem. All the constructed examples are mass-conserving and their sto…
Some minimal bimolecular mass-action systems with limit cycles
Balázs Boros, Josef Hofbauer
We discuss three examples of bimolecular mass-action systems with three species, due to Feinberg, Berner, Heinrich, and Wilhelm. Each system has a unique positive equilibrium which…