Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Balázs Boros"'
Autor:
Balázs Boros, Josef Hofbauer
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2022, Iss 42, Pp 1-18 (2022)
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 stoichiometric subspace is two-dimensional. Using the continuation softwa
Externí odkaz:
https://doaj.org/article/446b602090334d7f89d46695bed8eb17
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 1, Pp 442-459 (2020)
It is well known that, for mass-action systems, complex-balanced equilibria are asymptotically stable. For generalized mass-action systems, even if there exists a unique complex-balanced equilibrium (in every stoichiometric class and for all rate con
Externí odkaz:
https://doaj.org/article/3410572d063b460d9e3b85f39c87a612
Publikováno v:
SIAM Journal on Applied Mathematics. 80:1936-1946
We show that weakly reversible mass-action systems can have a continuum of positive steady states, coming from the zeroes of a multivariate polynomial. Moreover, the same is true of systems whose underlying reaction network is reversible and has a si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a78e762694d97966e981861c77617a22
https://doi.org/10.1137/19m1303034
https://doi.org/10.1137/19m1303034
Autor:
Josef Hofbauer, Balázs Boros
Publikováno v:
SIAM Journal on Applied Dynamical Systems. 19:352-365
We give a new proof of the fact that each weakly reversible mass-action system with a single linkage class is permanent.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a2debcc4e3f64c14ae19c525fec8f20
https://doi.org/10.1137/19m1248431
https://doi.org/10.1137/19m1248431
Autor:
Murad Banaji, Balázs Boros
We address the question of which small, bimolecular, mass action chemical reaction networks (CRNs) are capable of Andronov-Hopf bifurcation (from here on abbreviated to "Hopf bifurcation"). It is easily shown that any such network must have at least
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64790df9677ce9cbfa3e8004c7befcc1
Publikováno v:
Applied Mathematics and Computation. 426:127109
We show that adding new chemical species into the reactions of a chemical reaction network (CRN) in such a way that the rank of the network remains unchanged preserves its capacity for multiple nondegenerate equilibria and/or periodic orbits. One con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6f4ff3990e762c4a7a610c6df052b68
https://doi.org/10.1016/j.amc.2022.127109
https://doi.org/10.1016/j.amc.2022.127109
Autor:
Josef Hofbauer, Balázs Boros
Whereas the positive equilibrium of a mass-action system with deficiency zero is always globally stable, for deficiency-one networks there are many different scenarios, mainly involving oscillatory behaviour. We present several examples, with centers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98048c8ab1c336d5be56397b1e72bcbd
Publikováno v:
Qualitative Theory of Dynamical Systems
Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions and the resulting planar ODE. We characterize the parameters (positive coefficients and real ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41c9471a69785106705fd05cf2e090ff
http://europepmc.org/articles/PMC6314275
http://europepmc.org/articles/PMC6314275
Publikováno v:
Acta Applicandae Mathematicae. 151:53-80
Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions with two chemical species and arbitrary power-law kinetics. We study existence, uniqueness, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cdcf572df43ba90ba1d9d8f3ded94bcd
https://doi.org/10.1007/s10440-017-0102-9
https://doi.org/10.1007/s10440-017-0102-9
Publikováno v:
Mathematical Biosciences and Engineering, Vol 17, Iss 1, Pp 442-459 (2020)
It is well known that, for mass-action systems, complex-balanced equilibria are asymptotically stable. For generalized mass-action systems, even if there exists a unique complex-balanced equilibrium (in every stoichiometric class and for all rate con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21aa82156dadafd69eefe9dfee0368fb