Preprints

No. Authors Title
101 Marzban S, Han R, Juhász N, Röst G A hybrid PDE-ABM model for viral dynamics with application to SARS-CoV-2 and influenza
100 Koltai J, Vásárhelyi O, Röst G, Karsai M Monitoring behavioural responses during pandemic via reconstructed contact matrices from online and representative surveys, arXiv:2102.09021
99  55 Dénes A, Röst G Global analysis of a cancer model with drug resistance due to Lamarckian induction and microvesicle transfer, bioRxiv
98
arXiv
Getto P, Röst G Global extinction, dissipativity and persistence for a certain class of differential equations with state-dependent delay, arXiv
97 Sadeghimanesh A, Röst G Exotic bifurcations in connected populations with Allee effect, bioRxiv
96 Muqbel K, Röst G Optimal temporary non-pharmaceutical intervention strategies for epidemic outbreaks
95 Röst G Asymptotic stability and divergence for non-autonomous linear delay differential equations, to EJQTDE
94 arXiv Balázs I, Getto P, Röst G A continuous semiflow on a state space of Lipschitz functions defined by a differential equation with state dependent delay from cell biology, arXiv, in revision

Publications

2021

93  55 Kocsmár É, et al., Röst G, Lotz G Primary and secondary clarithromycin resistance of Helicobacter pylori: role of macrolides and mathematical modelling of resistance independent of macrolide consumption,
NATURE COMMUNICATIONS
, 12, 2255 (2021) doi: 10.1038/s41467-021-22557-7
92  55 Barbarossa MV, Bogya N, Dénes A, Röst G, Varma HV, Vizi Zs Fleeing lockdown and its impact on the size of epidemic outbreaks in the source and target regions - a COVID-19 lesson,
SCIENTIFIC REPORTS, in press, doi: 10.21203/rs.3.rs-82993/v1
91  55 Karsai M, Koltai J, Vásárhelyi O, Röst G Hungary in mask/MASZK in Hungary,
CORVINUS JOURNAL OF SOCIOLOGY AND SOCIAL POLICY
, VOL. 11 (2020)2, 139–146.
doi: 10.14267/CJSSP.2020.2.9
90 Balázs I, Röst G Hopf bifurcations of the Nicholson's blowfly equation
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, in press
89  55 Dénes A, Röst G Single species population dynamics in seasonal environment with short reproduction period
COMMUNICATIONS IN PURE AND APPLIED ANALYSIS,  February  2021, 20(2): 755–762, doi: 10.3934/cpaa.2020288
88  55 Bartha F, Karsai J, Tekeli T, Röst G Symptom-based testing in a compartmental model of COVID-19
in: Mathematical Modelling and Analysis of Infectious Disease Problems (COVID-19) (eds. P Agarwal, JJ Nieto, M Ruzhansky, DFM Torres), Springer, 2021, in press

2020

87  55 Péni T, Csutak B, Szederkényi G, Röst G Nonlinear model predictive control with logic constraints for COVID-19 management
NONLINEAR DYNAMICS, 102, pp 1965–1986 (2020)
86  55 Röst G, Bartha F, Bogya N, Boldog P, Dénes A, Ferenci T, Horváth JK, Juhász A, Nagy Cs, Tekeli T, Vizi Zs, Oroszi B Early phase of the COVID-19 outbreak in Hungary and post-lockdown scenarios
VIRUSES 12, 708 (2020)
85  55 Bognár B et al., Oroszi B, Röst G Corporate White Book - Practical guide for the preparation and implementation of the corporate COVID-19 pandemic plan
State Secretariat for Economic Strategy and Regulation, Budapest, pp 1–39, ISBN 978-615-81667-0-6
84  55 Dénes A, Muroya Y, Röst G Global stability of a multistrain SIS model with superinfection and patch structure
MATHEMATICAL METHODS IN APPLIED SCIENCES 2020 Volume 43, Issue17, pp. 9671–9680
83  55 Carlsson RM, Childs L, Feng Zh, Glasser JW, Heffernan J, Li J, Röst G Modeling the waning and boosting of immunity from infection or vaccination
JOURNAL OF THEORETICAL BIOLOGY
Volume 497, 21 July 2020, 110265
82  55 Muqbel K, Vas G, Röst G Periodic orbits and global stability for a discontinuous SIR model with delayed control
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS 19, 59 (2020)
81   55 Karsai J, Csuma-Kovács R, Dánielisz Á, Molnár Zs; Dudás J; Borsos T; Röst G Modeling the transmission dynamics of varicella in Hungary
JOURNAL OF MATHEMATICS IN INDUSTRY
10, 12 (2020)
80   55 Tekeli T, Röst G Stability and oscillations in multistage SIS models depend on the number of stages
APPLIED MATHEMATICS AND COMPUTATION  Volume 380, 1 September 2020, 125259
79   55 Boldog P, Tekeli T, Vizi Zs, Dénes A, Bartha F, Röst G Risk assessment of novel coronavirus COVID-19 outbreaks outside China
JOURNAL OF CLINICAL MEDICINE, 9(2), 571 (2020)
78   55 Balázs I, Röst G Hopf bifurcation for Wright-type delay differential equations: the simplest formula, period estimates, and the absence of folds
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATIONS 84, May, 105188 (2020)
77  55 Das B, Röst G Delay linear chains in mathematical biology:migratory birds, stem cell maturation, and intracellular chlamydia infection
in: Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment (ed. R. Mondaini), pp. 127–142,  Springer (2020)
76  55 Dénes A, Röst G Global analysis of a cancer model with drug resistance due to microvesicle transfer
in: Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment (ed. R. Mondaini), pp. 71–80,  Springer (2020)
75  55 Baker RE, Röst G Global dynamics of a new delay logistic equation arisen in cell biology
JOURNAL OF NONLINEAR SCIENCE
30, pp 397–418 (2020)

2019

74   55 Wang Z, Röst G, Moghadas SM Delay in booster schedule as a control parameter in vaccination dynamics
JOURNAL OF MATHEMATICAL BIOLOGY
  79:(5-6), pp 2157–2182 (2019)
73   55 Nah K, Magpantay F, Bede-Fazekas Á, Röst G, Trájer A, Wu X, Zhang X, Wu J Assessing systemic and non-systemic transmission risk of tick-borne encephalitis in Hungary
PLOS ONE
14(6): e0217206 (2019)
72   55 Vizi Zs, Kiss IZ, Miller JC, Röst G A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
JOURNAL OF MATHEMATICS IN INDUSTRY, 9:1 (2019)
71   55 Baker RE, Boldog P, Röst G Convergence of solutions in a mean-field model of go-or-grow type with reservation of sites for proliferation and cell cycle delay
in: Progress in Industrial Mathematics at ECMI 2018 (eds. I. Faragó, F. Izsák, P. Simon), pp 381–387, Springer 2019
70   55 Csuma-Kovács R, Dudás J, Karsai J, Dánielisz Á, Molnár Zs, Röst G Challenges in the modelling and control of varicella in Hungary
in: Progress in Industrial Mathematics at ECMI 2018 (eds. I. Faragó, F. Izsák, P. Simon), pp 249–255, Springer 2019
69   55 Muqbel K, Dénes A, Röst G Optimal temporary vaccination strategies for epidemic outbreaks,
in: Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics (ed. R. Mondaini),  pp 299–307, Springer (2019)
68   55 Karsai J, Csuma-Kovács R, Dudás J, Dánielisz Á, Molnár Zs, Röst G On the impact of vaccination on the epidemiology of varicella in Hungary
APLIMAT 2019, 617–627

2018

67    55 Barbarossa MV, Polner M, Röst G Temporal evolution of immunity distributions in a population with waning and boosting
COMPLEXITY, Paper 9264743 (2018)
66    55 Röst G, Vizi Zs, Kiss IZ Pairwise approximation for SIR type network epidemics with non-Markovian recovery
PROCEEDINGS OF THE ROYAL SOCIETY A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES  474:(2210) Paper 20170695 (2018)
65    55 Győri I, Nakata Y, Röst G Unbounded and blow-up solutions for a delay logistic equation with positive feedback
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 17(6): 2845–2854 (2018)
64    55 Nakata Y, Röst G Global stability of an SIS epidemic model with a finite infectious period
DIFFERENTIAL AND INTEGRAL EQUATIONS 31:(3-4) pp. 161–172. (2018)
63    55 Dénes A, Röst G Dynamics of an infectious disease including ectoparasites, rodents and humans
Chapter 5 in: Trends in Biomathematics: Modeling, Optimization and Computational Problems (ed. R. Mondaini), pp. 59–73, Springer (2018)
62    55 Röst G, Kuniya T, Moghadas SM, Wu J Global dynamics of an epidemiological model with age-of-infection dependent treatment rate
RICERCHE DI MATEMATICA  67:(1), pp 125–140 (2018)

2017

61    55 Kiss G, Röst G Controlling Mackey-Glass chaos
CHAOS 27 : 114321 (2017)
60    55 Barbarossa MV, Polner M, Röst G Stability switches induced by immune system boosting in an SIRS model with discrete and distributed delays
SIAM JOURNAL ON APPLIED MATHEMATICS 77:(3) pp 905-923 (2017)
59    55 Knipl D, Röst G, Moghadas SM Population dynamics of epidemic and endemic states of drug-resistance emergence in infectious diseases
PEERJ 5: Paper e2817. (2017)
58    55 Dénes A, Muroya Y, Röst G Global stability of a multistrain SIS model with superinfection
MATHEMATICAL BIOSCIENCES AND ENGINEERING 14:(2) pp. 421-435  (2017)
57    55 Röst G, Kiss IZ, Vizi Zs Variance of Infectious Periods and Reproduction Numbers for Network Epidemics with Non-Markovian Recovery
Berlin: Springer-Verlag, 2017. (Mathematics in Industry), Progress in Industrial Mathematics at ECMI 2016, pp. 171-178
56    55 Shoukat A, Espindola AL, Röst G, Moghadas S How the Interval Between Primary and Booster Vaccination Affects Long-Term Disease Dynamics
In: Mondaini RP (ed.) Mathematical Biology and Biological Physics. Singapore: World Scientific, 2017

2016

55    55 El-Morshedy H, Röst G, Ruiz-Herrera A Global dynamics of delay recruitment models with maximized lifespan
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 67:(3), 1-15, (2016)
54    55 Nah K, Röst G Stability threshold for scalar linear periodic delay differential equations
CANADIAN MATHEMATICAL BULLETIN, 59, 849–857, (2016)
53    55 Knipl D, Röst G Spatially heterogeneous populations with mixed negative and positive local density dependence
THEORETICAL POPULATION BIOLOGY, 109, 6–15, (2016)
52    55 Dénes A, Röst G Global stability for SIR and SIRS models with nonlinear incidence and removal terms via Dulac functions
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 21:(4), 1101–1117, (2016)
51    55 Röst G, Vizi Zs, Kiss IZ Impact of non-Markovian recovery on network epidemics
In: Mondaini RP (ed.) BIOMAT 2015, Singapore: World Scientific, 2016, 40–53.
50    55 Wu X, Röst G, Zou X Impact of spring bird migration on the range expansion of Ixodes scapularis tick population
BULLETIN OF MATHEMATICAL BIOLOGY, 78(1), 138–168 (2016)
49    55 Gourley S, Liu R, Röst G Age-dependent intraspecific competition in pre-adult life stages and its effects on adult population dynamics
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 27(1), 131-156, (2016)

2015

48    55 Kiss IZ, Röst G, Vizi Zs Generalization of pairwise models to non-Markovian epidemics on networks
PHYSICAL REVIEW LETTERS 115: Paper 078701. 14 p. (2015)
47    55 Barbarossa MV, Röst G Mathematical models for vaccination, waning immunity and immune system boosting: a general framework
In: Mondaini RP (ed.) BIOMAT 2014. Singapore: World Scientific, 2015. pp. 185-205.
46    55 Knipl DH, Pilarczyk P, Röst G Rich bifurcation structure in a two-patch vaccination model
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS 14:(2) pp. 980-1017. (2015)
45    55 Dénes A, Röst G Impact of excess mortality on the dynamics of diseases spread by ectoparasites
In: AMMCS-2013 (eds. Cojocaru, M., Kotsireas, I.S., Makarov, R., Melnik, R., Shodiev, H) Interdisciplinary Topics in Applied Mathematics, Modeling and Computational Science. New York: Springer (New York), 2015. pp. 177-182.
44    55 Barbarossa MV, Dénes A, Kiss G, Nakata Y, Röst G, Vizi Zs Transmission dynamics and final epidemic size of Ebola Virus Disease outbreaks with varying interventions
PLOS ONE 10:(7) Paper e0131398. 21 p. (2015)
43    55 Nakata Y, Röst G

Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections
MATHEMATICA BOHEMICA 140:(2) pp. 171-193. (2015)

42    55 Barbarossa MV, Röst G Immuno-epidemiology of a population structured by immune status: a mathematical study of waning immunity and immune system boosting
JOURNAL OF MATHEMATICAL BIOLOGY 71:(6) pp. 1737–1770 (2015)
41    55 Nakata Y, Röst G Global analysis for spread of infectious diseases via transportation networks
JOURNAL OF MATHEMATICAL BIOLOGY 70:(6) pp. 1411–1456 (2015)
40    55 Liu M, Liz E, Röst G Endemic bubbles generated by delayed behavioral response -- global stability and bifurcation switches in an SIS model
SIAM JOURNAL ON APPLIED MATHEMATICS 75:(1) pp. 75–91 (2015)

2014

39    55 Gourley S, Röst G, Thieme H Uniform persistence in a model for bluetongue dynamics
SIAM JOURNAL ON MATHEMATICAL ANALYSIS 46:(2) pp. 1160-1184. (2014)
38    55 Dénes A, Röst G Global dynamics for the spread of ectoparasite-borne diseases
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 18: pp. 100-107. (2014)
37    55 Knipl DH, Röst G Large number of endemic equilibria for disease transmission models in patchy environment
MATHEMATICAL BIOSCIENCES 258: pp. 201-222. (2014)
36    55 Dénes A, Röst G Global dynamics of a compartmental system modeling ectoparasite-borne diseases
ACTA SCIENTIARUM MATHEMATICARUM - SZEGED 80:(3-4) pp. 553-572. (2014)
35    55 Nah K, Röst G, Kim Y Modelling Malaria Dynamics in Temperate Regions with Long Term Incubation Period
In: Mondaini RP (ed.) BIOMAT 2013 Singapore: World Scientific, 2014. pp. 263-285.
34    55 Nah K, Nakata Y, Röst G Malaria dynamics with long incubation period in hosts
COMPUTERS AND MATHEMATICS WITH APPLICATIONS 68:(9) pp. 915-930. (2014)
33    55 Pituk M, Röst G Large time behavior of a linear delay differential equation with asymptotically small coefficient
BOUNDARY VALUE PROBLEMS 2014: Paper 114. 9 p. (2014)
32    55 Röst G Baneling dynamics in the Legend of the Seeker
In: R Smith? (ed.) Mathematical Modelling of Zombies. Ottawa: University of Ottawa Press, 2014. p. 231.
31    55 Röst G, Vizi Zs Backward bifurcation for pulse vaccination
NONLINEAR ANALYSIS-HYBRID SYSTEMS 14: pp. 99-113. (2014)
30    55 Faria T, Röst G Persistence, permanence, and global stability for an n-dimensional Nicholson system
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS 26:(3) pp. 723-744. (2014)

2013

29    55 Knipl D, Röst G, Wu J Epidemic Spread and Variation of Peak Times in Connected Regions due to Travel-Related Infections - Dynamics of an Antigravity-Type Delay Differential Model
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 12:(4), pp 1722–1762 (2013)
28    55 Liu M, Röst G, Vas G SIS model on homogeneous networks with threshold type delayed contact reduction
COMPUTERS AND MATHEMATICS WITH APPLICATIONS 66:(9) pp 1534–1546 (2013)
27    55 Knipl DH, Röst G Backward bifurcation in SIVS model with immigration of non-infectives
BIOMATH 2:(2) Paper 1312051 (2013)
26    55 Röst G Funkcionál-differenciálegyenletek globális dinamikája: attraktorok, összekötő pályák, perzisztencia és alkalmazások, Habilitation Thesis, SZTE, 2013
25    55 Dénes A, Kevei P, Nishiura H, Röst G Risk of infectious disease outbreaks by imported cases with application to the European Football Championship 2012
INTERNATIONAL JOURNAL OF STOCHASTIC ANALYSIS Article ID: 576381 (2013)
24    55 Liz E, Röst G Global dynamics in a commodity market model
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 398:(2) pp. 707–714. (2013)

2012

23    55 Jones DA, Smith HL, Thieme HR, Röst G Spread on phage infection of bacteria in a Petri dish
SIAM JOURNAL ON APPLIED MATHEMATICS, 72:(2) pp. 670–688. (2012)
22    55 Knipl DH, Röst G Multiregional SIR Model with Infection during Transportation
BIOMATH 1:(1) Article ID: 1209255 (2012)
21    55 Röst G Global convergence and uniform bounds of fluctuating prices in a single commodity market model of Bélair and Mackey
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS Nr. 26 (2012)
20    55 Liu M, Röst G Dynamics of an SIS Model on Homogeneous Networks with Delayed Reduction of Contact Numbers
BIOMATH 1:(2) Article ID: 1210045 (2012)
19    55 Dénes A, Röst G Structure of the global attractors in a model for ectoparasite borne diseases
BIOMATH 1:(1) Article ID: 1209256 (2012)
18    55  Röst G, Huang Sh-Y, Székely L On a SEIR epidemic model with delay
DYNAMICAL SYSTEMS AND APPLICATIONS 21 pp 33–48 (2012)

2011

17    55 Knipl D, Röst G Modelling the strategies for age specific vaccination scheduling during influenza pandemic outbreaks,
MATHEMATICAL BIOSCIENCES AND ENGINEERING 8(1), 123–139 (2011)
16    55 Röst G SEI model with varying infectivity and mortality,
In:  MATHEMATICS IN SCIENCE AND TECHNOLOGY: Mathematical Methods, Models and Algorithms in Science and Technology, (eds.: Siddiqi AH, Singh RC , Manchanda P) Proceedings of the Satellite Conference of ICM 2010. New Delhi, India, World Scientific, pp. 489–498 (2011)
15    55 Knipl D, Röst G Influenza models with Wolfram Mathematica, pp 1-24, Chapter 4 in:
Interesting Mathematical Problems in Sciences and Everyday Life -2011 (eds: J Karsai, R Vajda), Szeged - 2011 - Novi Sad
14    55 Röst G On an approximate method for the delay logistic equation
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 16:(9) pp. 3470-3474. (2011)

2010

13    55 Liz E, Röst G Dichotomy results for delay differential equations with negative Schwarzian derivative,
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 11(3) 1422-1430 (2010)

2009

12    55 Moghadas SM, Bowman CS, Röst G, Fisman DN, Wu J Post-exposure prophylaxis during pandemic outbreak,
BMC MEDICINE 7:73, 2009
11    55 Liz E, Röst G On global attractors for delay differential equations with unimodal feedback,
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES A, 24:(4) 1215-1224 (2009)

2008

10    55 Röst G and Wu, J., SEIR epidemiological model with varying infectivity and infinite delay,
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 5(2), pp. 389 –402, 2008
9     55 Moghadas, S.M., Bowman, C.S., Röst, G. and Wu, J., Population-Wide Emergence of Antiviral Resistance during Pandemic Influenza.
PLOS ONE 3(3): e1839. doi:10.1371/journal.pone.0001839 (2008)
8     55 Alexander, M.E., Moghadas, S.M., Röst G. and Wu, J., A Delay Differential Model for Pandemic Influenza with Antiviral Treatment,
BULLETIN OF MATHEMATICAL BIOLOGY 70: (2) 382-397 (2008)

2007

7    55 Röst G, Wu J Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback,
PROCEEDINGS OF THE ROYAL SOCIETY A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2007, Vol 463(2086), pp. 2655–2669
6    55 Röst G On the Global Attractivity Controversy for a Delay Model of Hematopoiesis,
APPLIED MATHEMATICS AND COMPUTATION, 2007, Vol 190/1 pp 846–850
5    55 Alexander ME, Bowman CS, Feng Zh, Gardam, M., Moghadas SM, Röst G, Wu J,  Yan P Emergence of drug-resistance: implications for antiviral control of influenza pandemic,
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES , 2007, Vol 274, Nr 1619, pp 1675–1684

2006

4    55 Röst G Periodikus funkcionál-differenciálegyenletek bifurkációelmélete
PhD Disszertáció, University of Szeged
3    55 Röst G Bifurcation of the Time-One Maps of Delay Differential Equations at Points of Resonance,
FUNCTIONAL DIFFERENTIAL EQUATIONS, 2006, vol. 13., Nr. 3-4, pp. 585–602

2005

2    55 Röst G Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations
in: Dynamical Systems and Applications, Proc. of the ACMA 2004, Antalya (eds.: Akca H., Boucherif A. and Covachev V.) pp. 624–641, 2005
1    55 Röst G Neimark-Sacker Bifurcation for Periodic Delay Differential Equations
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, vol. 60, issue 6, pp. 1025–1044