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## Article

Fatehi Chenar, Farzad, Kyrychko, Yuliya, Molchanov, Robert and Blyuss, Konstantin
(2018)
*Bifurcations and multi-stability in a model of cytokine-mediated autoimmunity.*
International Journal of Bifurcation and Chaos.
ISSN 0218-1274
(Accepted)

Fatehi Chenar, F, Kyrychko, Y N and Blyuss, K B
(2018)
*Mathematical model of immune response to hepatitis B.*
Journal of Theoretical Biology, 447.
pp. 98-110.
ISSN 0022-5193

Kyrychko, Y N and Schwartz, I B
(2018)
*Enhancing noise-induced switching times in systems with distributed delays.*
Chaos, 28 (6).
ISSN 1054-1500

Fatehi Chenar, Farzad, Kyrychko, Yuliya and Blyuss, Konstantin
(2018)
*Effects of Viral and cytokine delays on dynamics of autoimmunity.*
Mathematics, 6.
p. 66.
ISSN 2227-7390

Fatehi Chenar, Farzad, Kyrychko, Sergey, Ross, Aleksandra, Kyrychko, Yuliya and Blyuss, Konstantin
(2018)
*Stochastic effects in autoimmune dynamics.*
Frontiers in Physiology, 9.
p. 45.
ISSN 1664-042X

Bauer, Larissa, Bassett, Jason, Hoevel, Philipp, Kyrychko, Yuliya and Blyuss, Konstantin
(2017)
*Chimera states in multi-strain epidemic models with temporary immunity.*
Chaos, 27 (11).
p. 114317.
ISSN 1054-1500

Agaba, G O, Kyrychko, Y N and Blyuss, K B
(2017)
*Dynamics of vaccination in a time-delayed epidemic model with awareness.*
Mathematical Biosciences, 294.
pp. 92-99.
ISSN 0025-5564

Rahman, Bootan, Blyuss, Konstantin and Kyrychko, Yuliya
(2017)
*Aging transition in systems of oscillators with global distributed-delay coupling.*
Physical Review E, 96 (3).
ISSN 2470-0045

Agaba, G O, Kyrychko, Y N and Blyuss, K B
(2017)
*Time-delayed SIS epidemic model with population awareness.*
Ecological Complexity, 31.
pp. 50-56.
ISSN 1476-945X

Agaba, G O, Kyrychko, Y N and Blyuss, K B
(2017)
*Mathematical model for the impact of awareness on the dynamics of infectious diseases.*
Mathematical Biosciences, 286.
pp. 22-30.
ISSN 0025-5564

Neofytou, G, Kyrychko, Y N and Blyuss, K B
(2017)
*Time-delayed model of RNA interference.*
Ecological Complexity, 30.
pp. 11-25.
ISSN 1476-945X

Neofytou, G, Kyrychko, Y N and Blyuss, K B
(2016)
*Mathematical model of plant-virus interactions mediated by RNA interference.*
Journal of Theoretical Biology, 403.
pp. 129-142.
ISSN 0022-5193

Neofytou, G, Kyrychko, Y N and Blyuss, K B
(2016)
*Time-delayed model of immune response in plants.*
Journal of Theoretical Biology, 389.
pp. 28-39.
ISSN 0022-5193

Rahman, B, Blyuss, K B and Kyrychko, Y N
(2015)
*Dynamics of neural systems with discrete and distributed time delays.*
SIAM Journal on Applied Dynamical Systems, 14 (4).
pp. 2069-2095.
ISSN 1536-0040

Parmar, K, Blyuss, K B, Kyrychko, Y N and Hogan, S J
(2015)
*Time-delayed models of gene regulatory networks.*
Computational and Mathematical Methods in Medicine, 2015.
ISSN 1748-6718

Blyuss, Konstantin B and Kyrychko, Yuliya N
(2014)
*Instability of disease-free equilibrium in a model of malaria with immune delay.*
Mathematical Biosciences, 248.
pp. 54-56.
ISSN 0025-5564

Kyrychko, Y N, Blyuss, K B and Schöll, E
(2014)
*Synchronization of networks of oscillators with distributed delay coupling.*
Chaos, 24.
043117.
ISSN 1054-1500

Zakharova, A, Schneider, I, Kyrychko, Y, Blyuss, K, Koseka, A, Fiedler, B and Schoell, E
(2013)
*Time delay control of symmetry-breaking primary and secondary oscillation death.*
Europhysics Letters, 104 (5).
ISSN 0295-5075

Kyrychko, Y N, Blyuss, K B and Schöll, E
(2013)
*Amplitude and phase dynamics in oscillators with distributed-delay coupling.*
Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 371 (1999).
p. 20120466.
ISSN 1364-503X

Blyuss, Konstantin B and Kyrychko, Yuliya N
(2012)
*Symmetry breaking in a model of antigenic variation with immune delay.*
Bulletin of Mathematical Biology, 74 (10).
pp. 2488-2509.
ISSN 1522-9602

Kyrychko, Yuliya, Blyuss, Konstantin and Schöll, E
(2011)
*Amplitude death in systems of coupled oscillators with distributed-delay coupling.*
European Physical Journal B: Condensed Matter and Complex Systems, 84 (2).
pp. 307-315.
ISSN 1434-6028

Kyrychko, Y N and Hogan, S J
(2010)
*On the Use of Delay Equations in Engineering Applications.*
Journal of Vibration and Control, 16 (7-8).
pp. 943-960.
ISSN 1077-5463

Blyuss, Konstantin B and Kyrychko, Yuliya N
(2010)
*Stability and Bifurcations in an Epidemic Model with Varying Immunity Period.*
Bulletin of Mathematical Biology, 72 (2).
pp. 490-505.
ISSN 0092-8240

Kyrychko, Y N, Blyuss, K B, Hövel, P and Schöll, E
(2009)
*Asymptotic properties of the spectrum of neutral delay differential equations.*
Dynamical Systems, 24 (3).
pp. 361-372.
ISSN 1468-9367

Kyrychko, Yuliya N and Blyuss, Konstantin B
(2009)
*Persistence of travelling waves in a generalized Fisher equation.*
Physics Letters A, 373 (6).
pp. 668-674.
ISSN 0375-9601

Kyrychko, Y N, Blyuss, K B, Hogan, S J and Schöll, E
(2009)
*Control of spatio-temporal patterns in the Gray-Scott model.*
Chaos, 19 (4).
ISSN 1054-1500

Blyuss, K B, Kyrychko, Y N, Hövel, P and Schöll, E
(2008)
*Control of unstable steady states in neutral time-delayed systems.*
European Physical Journal B: Condensed Matter and Complex Systems, 65 (4).
pp. 571-576.
ISSN 1434-6028

Gonzalez-Buelga, A, Kyrychko, Y and Wagg, D J
(2007)
*Bifurcations on a spring-pendulum oscillator.*
PAMM, 7.
pp. 1030303-1030304.
ISSN 1617-7061

Kyrychko, Y N, Hogan, S J, Gonzalez-Buelga, A and Wagg, D J
(2007)
*Modelling real-time dynamic substructuring suing partial delay differential equations.*
Proceedings A: Mathematical, Physical and Engineering Sciences, 463 (2082).
pp. 1509-1523.
ISSN 1471-2946

Kyrychko, Y, Gourley, S A and Bartuccelli, M V
(2006)
*Dynamics of a stage-structured population model on an isolated finite lattice.*
SIAM Journal on Mathematical Analysis, 37 (5).
pp. 1688-1708.
ISSN 0036-1410

Bartuccelli, Michele V, Gourley, S A and Kyrychko, Y
(2005)
*Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain.*
Discrete and Continuous Dynamical Systems - Series B, 5 (4).
pp. 1015-1026.
ISSN 1531-3492

Kyrychko, Y N, Bartuccelli, M V and Blyuss, K B
(2005)
*Persistence of travelling wave solutions of a fourth order diffusion system.*
Journal of Computational and Applied Mathematics, 176 (2).
pp. 433-443.
ISSN 0377-0427

Blyuss, Konstantin B and Kyrychko, Yuliya N
(2005)
*APPLIED MATHEMATICS AND COMPUTATION.*
Applied Mathematics and Computation, 160 (1).
pp. 177-187.
ISSN 0096-3003

Blyuss, Konstantin B and Kyrychko, Yuliya N
(2005)
*On a basic model of a two-disease epidemic.*
Applied Mathematics and Computation, 160 (1).
pp. 177-187.
ISSN 0096-3003

Kyrychko, Yuliya N and Blyuss, Konstantin B
(2005)
*Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate.*
Nonlinear Analysis: RealWorld Applications, 6.
495 ¿ 507.
ISSN 1468-1218

Bartuccelli, M V, Blyuss, K B and Kyrychko, Y N
(2004)
*Length scales and positivity of solutions of a class of reaction-diffusion equations.*
Communications on Pure and Applied Analysis, 3 (1).
pp. 25-40.
ISSN 1534-0392

Kyrychko, Yuliya N and Bartuccelli, Michele V
(2004)
*Length scales for the Navier-Stokes equations on a rotating sphere.*
Physics Letters A, 324.
179¿184.
ISSN 0375-9601

## Conference or Workshop Item

Kyrychko, Y N, Blyuss, K B, Gonzalez-Buelga, A, Hogan, S J and Webb, D J
(2006)
*Real-time dynamic substructuring in a coupled oscillator-pendulum system.*
In: Source: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES.

Kyrychko, Y N, Blyuss, K B, Gonzalez-Buelga, A, Hogan, S J and Wagg, David J
(2006)
*Stability switches in a neutral delay differential equation with application to real-time dynamic substructuring.*
In: 6th International Conference on Modern Practice in Stress and Vibration Analysis, University of Bath, England. SEP 05-07, 2006.