Dr. Röst GERGELY
    habilitált tudományos főmunkatárs, kutatócsoport-vezető

Publication record in the MTMT database

Google Scholar profile

Research Papers

[43] 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, 2014, in press

[42] Knipl DH, Röst G

Large number of endemic equilibria for disease transmission models in patchy environment
Mathematical Biosciences, 258, 201-222,  2014

[41] Dénes A,
Röst G
Global dynamics of a compartmental system modeling ectoparasite-borne diseases
Acta Sci Math (Szeged), 80(3-4), 2014, in press

[40] Faria T, Röst G

Persistence, permanence, and global stability for an n-dimensional Nicholson system
Journal of Dynamics and Differential Equations, 
26(3), 723-744 , 2014

[39] Nakata Y, Röst G

Global analysis for spread of infectious diseases via transportation networks
Journal of Mathematical Biology, 2014 

[38] Röst G, Vizi Zs

Backward bifurcation for pulse vaccination
Nonlinear Analysis - Hybrid Systems, 14, pp 99-113, 2014

Gourley S, Röst G, Thieme HR
Uniform persistence in a model for bluetongue dynamics
SIAM Journal on Mathematical Analysis
46(2), 1160–1184 (2014) link

[36] Nakata Y, Röst G
Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections
Mathematica Bohemica,
2014, in press

[35] Pituk M, Röst G
Large Time Behavior of a Linear Delay Differential Equation with Asymptotically Small Coefficient
Boundary Value Problems, 2014:114 link

Nah K, Nakata Y, Röst G
Malaria dynamics with long incubation period in hosts
Computers and Mathematics With Applications, 68(9), 915-930
(2014) link

Nah K, Röst G, Kim Y
Modelling Malaria Dynamics in Temperate Regions with Long Term Incubation Period
in: BIOMAT 2013 - Proceedings of the International Symposium on Mathematical and Computational Biology
(ed.: Mondaini P), World Scientific, pp. 263-285 (2014) link

[32] Dénes A, Röst G
Global dynamics for the spread of ectoparasite-borne diseases
Nonlinear Analysis Real World Applications, 
18 pp 100-107, 2014 link

[31] Dénes A, Röst G
Impact of excess mortality on the dynamics of diseases spread by ectoparasites
in: Proc. AMMCS-2013 Waterloo, Springer, 2014, in press

[30] Röst G
Baneling dynamics in the Legend of the Seeker, Chapter 17 in:
Mathematical Modelling of Zombies (ed. Robert Smith?), pp 231-241, University of Ottawa Press, 2014

Knipl DH, 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) link pdf

[28] Knipl DH, Röst G
Backward bifurcation in SIVS model with immigration of non-infectives
2:(2) Paper 1312051 (2013) pdf

[26] Liz E, Röst G
Global dynamics in a commodity market model
J Math Anal Appl 398:(2) pp. 707-714. (2013)

[25] Liu M, Röst G, Vas G
SIS model on homogeneous networks with threshold type delayed contact reduction
Comput Math Appl
66:(9) pp 1534–1546 (2013) link pdf

[24] Dénes A, Kevei P, Nishiura H, Röst G
Risk of infectious disease outbreaks by imported cases with application to the European Football Championship 2012
Int J Stoch Anal Article ID: 576381 (2013)

[23] Röst, G., Huang Sh-Y, Székely L.
On a SEIR epidemic model with delay
Dynam Syst Appl 21 pp 33-48 (2012)

[22] Röst G
Global convergence and uniform bounds of fluctuating prices in a single commodity market model of Bélair and Mackey
Electron J Qual Theory Differ Equ Nr. 26 (2012) pdf

[21] 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)

[20] Knipl DH, Röst G
Multiregional SIR Model with Infection during Transportation
Biomath 1:(1) Article ID: 1209255 (2012)

[19] Jones DA, Smith HL, Thieme HR, Röst G
Spread on phage infection of bacteria in a Petri dish
SIAM J Appl Math, 72:(2) pp. 670-688. (2012)

[18] Dénes A, Röst G
Structure of the global attractors in a model for ectoparasite borne diseases
Biomath 1:(1) Article ID: 1209256 (2012)

[17] Röst G
SEI model with varying infectivity and mortality,

In: Siddiqi AH, Singh RC , Manchanda P (szerk.) MATHEMATICS IN SCIENCE AND TECHNOLOGY:
Mathematical Methods, Models and Algorithms in Science and Technology,
Proceedings of the Satellite Conference of ICM 2010. New Delhi, India
World Scientific, pp. 489-498 (2011)
link pdf

[16] Röst G
On an approximate method for the delay logistic equation,
Commun Nonlinear Sci Numer Simul, 16(9), 3470-3474 (2011)
link pdf

[15] Knipl DH, Röst G
Modelling the strategies for age specific vaccination scheduling during influenza pandemic outbreaks,
Math. Biosci. Eng. 8(1), 123-139 (2011) most read article

[14] Knipl, DH., 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 link pdf

[13] Liz, E. and Röst, G.,
Dichotomy results for delay differential equations with negative Schwarzian derivative,
Nonlinear Anal. RWA, 11(3)
1422-1430 (2010) pre link pdf

[12] Moghadas, S.M., Bowman, C.S., Röst, G., Fisman, D.N. and Wu J. most viewed research article
Post-exposure prophylaxis during pandemic outbreak,
BMC Medicine 7:73, 2009 link pdf supp

[11] Liz E and Röst G
On global attractors for delay differential equations with unimodal feedback,
Discrete and Continuous Dynamical Systems
24:(4) 1215-1224 (2009) pre pdf

Röst G and Wu, J.,
SEIR epidemiological model with varying infectivity and infinite delay,
Math. Biosci. Eng., 5(2),
pp. 389 –402, 2008,pdf

[9] 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) pdf supp

[8] Alexander, M.E., Moghadas, S.M., Röst G. and Wu, J.,
A Delay Differential Model for Pandemic Influenza with Antiviral Treatment,
Bull. Math. Biol.
70: (2) 382-397 (2008) pdf

[7] Röst, G
On the Global Attractivity Controversy for a Delay Model of Hematopoiesis,
Appl. Math. Comput.
, 2007, Vol 190/1 pp 846-850 pdf

[6] Röst, G. and Wu, J.,
Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2007, Vol 463(2086), pp. 2655-2669 pdf cited in Scholarpedia

Alexander, M.E., Bowman, C.S., Feng, Zh., Gardam, M., Moghadas, S.M., Röst G., Wu, J. and Yan, P., Emergence of drug-resistance: implications for antiviral control of influenza pandemic,
Proc. R. Soc. Lond. Ser. B Biol. Sci.
, 2007, Vol 274, Nr 1619, pp 1675-1684 pdf supp top downloaded paper

[3] Röst G
Bifurcation of the Time-One Maps of Delay Differential Equations at Points of Resonance,
Funct. Differ. Eq., 2006, vol. 13., Nr. 3-4, pp. 585-602 pdf

[2] 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 pdf

Röst, G. ,
Neimark-Sacker Bifurcation for Periodic Delay Differential Equations
Nonlinear Analysis - Theor., 2005, vol. 60, issue 6, pp. 1025-1044 pdf


Röst G, Funkcionál-differenciálegyenletek globális dinamikája: attraktorok, összekötő pályák, perzisztencia és
alkalmazások, Habilitáció Tézisei, SZTE, 2013

[4] Röst, G. , Periodikus funkcionáldifferenciálegyenletek bifurkációelmélete , PhD 2005
PhD Disszertáció (pdf), Tézisek (pdf), Abstract (pdf), supervisor: Dr. Tibor Krisztin

[0] Röst, G. , Egy periodikus funkcionál-differenciálegyenlet instabil halmaza (dvi/zip)
diplomamunka, 2001, témavezető: Dr.Krisztin Tibor


Röst, G., Folytonos függvények periodikus pontjai, Polygon, 2000, X./1. 35-46

Röst, G., Az elektromos haltól a zúzógépekig – periodikus FDE modellek dinamikája, Természet és Tudomány, válogatás a II. VMTDK munkáiból, Újvidék (Szerbia), pp. 279-292, 2003

Röst, G., Periodikus funkcionál-differenciálegyenletek bifurkációi , MTA SZAB publikációs pályázat, pp. 1-64, 2004.

Röst, G., Az ötven éves Wright-sejtés története, III. VMTDK konferenciakiadvány, Zenta (Szerbia), 2004 Röst, G., Beszámoló a 11th IMC nemzetközi matematikaversenyről, Polygon, XIII./2. 65-75, 2005

Röst, G., The Effect of Resonance on the Bifurcation of Periodic Delay Differential Equations, Conference Proceedings of ISIRR-8 - International Symposium on Interdisciplinary Regional Research -Hungary-Romania-Serbia, Szeged, pp 1-9, 2005

Röst, G., A szegedi Eötvös Kollégium, Magyar Tudomány, 2005/11

Röst, G., A Mathematician's Survival Guide by Steven G. Krantz (book review), Acta Sci. Math. (Szeged), 71, pp. 428-429, 2005

Röst G, Beszámoló a 11th IMC nemzetközi matematikaversenyről, Polygon, XIII./2. 65-75, 2005

Röst G, The Effect of Resonance on the Bifurcation of Periodic Delay Differential Equations,
Conference Proceedings of ISIRR-8 - International Symposium on Interdisciplinary Regional Research
-Hungary-Romania-Serbia, Szeged, pp 1-9, 2005

DH Knipl, A Hulman (additional contribution: J Karsai, Röst G)
Dynamic Model of Pandemic Influenza with Age Structure and Vaccination
atio/ Wolfram Demonstrations Project, Published: October 8, 2011

Röst G, Delay differential models and transmission dynamics of infectious diseases – in the
shadow of the Saguaros, Hungarian Fulbright Grantee Reports, pp 1-8, 2012