Temporal delays in mathematical models of cell biology processes

Unbounded and blow-up solutions for a delay logistic equation with positive feedback

Auteurs: István Győri, Yukihiko Nakata, Gergely Röst
Publié dans: Communications on Pure & Applied Analysis, Numéro 17/6, 2018, Page(s) 2845-2854, ISSN 1553-5258
Éditeur: American Institute of Mathematical Science
DOI: 10.3934/cpaa.2018134

Pairwise approximation for SIR -type network epidemics with non-Markovian recovery

Auteurs: G. Röst, Z. Vizi, I. Z. Kiss
Publié dans: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, Numéro 474/2210, 2018, Page(s) 20170695, ISSN 1364-5021
Éditeur: Royal Society of London
DOI: 10.1098/rspa.2017.0695

A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling

Auteurs: Zsolt Vizi, István Z. Kiss, Joel C. Miller, Gergely Röst
Publié dans: Journal of Mathematics in Industry, Numéro 9/1, 2019, ISSN 2190-5983
Éditeur: Springer Verlag
DOI: 10.1186/s13362-019-0058-7

Temporal Evolution of Immunity Distributions in a Population with Waning and Boosting

Auteurs: M. V. Barbarossa, M. Polner, G. Röst
Publié dans: Complexity, Numéro 2018, 2018, Page(s) 1-13, ISSN 1076-2787
Éditeur: John Wiley & Sons Inc.
DOI: 10.1155/2018/9264743

Controlling Mackey–Glass chaos

Auteurs: Gábor Kiss, Gergely Röst
Publié dans: Chaos: An Interdisciplinary Journal of Nonlinear Science, Numéro 27/11, 2017, Page(s) 114321, ISSN 1054-1500
Éditeur: American Institute of Physics
DOI: 10.1063/1.5006922

Global stability of a multistrain SIS model with superinfection and patch structure

Auteurs: Attila Dénes, Yoshiaki Muroya, Gergely Röst
Publié dans: Arxiv, preprint submitted for publication, 2018, ISSN 2331-8422
Éditeur: Cornell University

Hopf bifurcation and period functions for Wright type delay differential equations

Auteurs: István Balázs, Gergely Röst
Publié dans: Arxiv, preprint submitted for publication, 2018, ISSN 2331-8422
Éditeur: Cornell University

A continuous semiflow on a space of Lipschitz functions for a differential equation with state-dependent delay from cell biology

Auteurs: István Balázs, Philipp Getto, Gergely Röst
Publié dans: Arxiv, preprint submitted for publication, 2018, ISSN 2331-8422
Éditeur: Cornell University

Global dynamics of a novel delayed logistic equation arising from cell biology

Auteurs: Ruth E. Baker, Gergely Röst
Publié dans: Arxiv, preprint submitted for publication, 2019, ISSN 2331-8422
Éditeur: Cornell University

Dynamics of an Infectious Disease Including Ectoparasites, Rodents and Humans

Auteurs: A. Dénes, G. Röst
Publié dans: Trends in Biomathematics: Modeling, Optimization and Computational Problems - Selected works from the BIOMAT Consortium Lectures, Moscow 2017, 2018, Page(s) 59-73, ISBN 978-3-319-91091-8
Éditeur: Springer International Publishing
DOI: 10.1007/978-3-319-91092-5_5

Convergence of solutions in a mean-field model of go-or-grow type with reservation of sites for proliferation and cell cycle delay

Auteurs: Ruth E. Baker, Péter Boldog, Gergely Röst
Publié dans: Arxiv, preprint submitted for publication, 2018
Éditeur: Cornell University

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