Publications
2024
78. Prospective impact of healthcare facilities and infrastructure on infectious disease outbreak dynamics: a modeling study, J. Maurya, K.B. Blyuss, A.K. Misra, Eur. Phys. J. Spec. Topics (2024).
77. Modeling the impact of hospital beds and vaccination on the dynamics of an infectious disease, J. Maurya, K.B. Blyuss, A.K. Misra, Math. Biosci. 368, 109133 (2024).
2023
76. Stability and bifurcations of a multi-delay model for mosaic disease transmission, F. Al Basir, K.B. Blyuss, E. Venturino, AIMS Math. 8, 24545-24567 (2023).
75. Sex, ducks and rock"n"roll: mathematical model of sexual response, K.B. Blyuss, Y.N. Kyrychko, Chaos 33, 043106 (2023).
74. Vaccination games and imitation dynamics with memory, Y.N. Kyrychko, K.B. Blyuss, Chaos 33, 033134 (2023).
2022
73. Complex dynamics near extinction in a predator-prey model with ratio dependence and Holling type III functional response, K.B. Blyuss, Y.N. Kyrychko, O.B. Blyuss, Front. Appl. Math. Stat. 8, 1083815 (2022).
72. Mathematical models for dengue fever epidemiology: A 10-year systematic review, M. Aguiar, V. Anam, K.B. Blyuss, C.D.S. Estadilla, B.V. Guerrero, D. Knopoff, B.W. Kooi, A.K. Srivastav, V. Steindorf, N. Stollenwerk, Phys. Life Rev. 40, 65-92 (2022).
71. How can risk of COVID-19 transmission be minimised in domiciliary care for older people: development, parameterisation and initial results of a simple mathematical model, I.Z. Kiss, K.B. Blyuss, Y.N. Kyrychko, J. Middleton, D. Roland, L. Bertini, L. Bogen-Johnston, W. Wood, R. Sharp, J. Forder, J.A. Cassell, Epi. Inf. 150, e13 (2022).
2021
70. Dynamics of coupled Kuramoto oscillators with distributed delays, A. Ross, S.N. Kyrychko, K.B. Blyuss, Y.N. Kyrychko, Chaos 31, 103107 (2021).
69. Time-delayed and stochastic effects in a predator-prey model with ratio dependence and Holling Type III functional response, K.B. Blyuss, S.N. Kyrychko, Y.N. Kyrychko, Chaos 31, 073141 (2021).
68. Effects of vector maturation time on the dynamics of Cassava Mosaic Disease, F. Al Basir, Y.N. Kyrychko, K.B. Blyuss, S. Ray, Bull. Math. Biol. 83, 87 (2021).
67. Effects of latency and age structure on the dynamics and containment of COVID-19, K.B. Blyuss, Y.N. Kyrychko, J. Theor. Biol. 513, 110587 (2021).
2020
66. Control of mosaic disease using microbial biostimulants: insights from mathematical modelling, K.B. Blyuss, F. Al Basir, V.A. Tsygankova, L.O. Biliavska, G.O. Iutynska, S.N. Kyrychko, S.V. Dziuba, O.I. Tsyliuryk, O.O. Izhboldin, Ric. di Matem. 69, 437-455 (2020).
65. Dynamics of a predator-prey model with discrete and distributed delay, B. Rahman, M.A. Yau, Y.N. Kyrychko, K.B. Blyuss, Int. J. Dyn. Syst. Diff. Eqns. 10, 427-449 (2020).
64. Mathematical modelling of the dynamics and containment of COVID-19 in Ukraine, Y.N. Kyrychko, K.B. Blyuss, I. Brovchenko, Sci. Reps. 10, 19662 (2020).
63. Dynamics of unidirectionally-coupled ring neural network with discrete and distributed delays, B. Rahman, Y.N. Kyrychko, K.K. Blyuss, J. Math. Biol. 80, 1617-1653 (2020).
62. Quantifying the role of stochasticity in the development of autoimmune disease, L.B. Nicholson, K.B. Blyuss, F. Fatehi, Cells 9, 860 (2020).
61. Stochastic dynamics in a time-delayed model for autoimmunity, F. Fatehi, Y.N. Kyrychko, K.B. Blyuss, Math. Biosci. 322, 108323 (2020).
60. A new approach to simulating stochastic delayed systems, F. Fatehi, Y.N. Kyrychko, K.B. Blyuss, Math. Biosci. 322, 108327 (2020).
2019
59. Time-delayed model of autoimmune dynamics, F. Fatehi, Y.N. Kyrychko, K.B. Blyuss, Math. Biosci. Eng. 16, 5613-5639 (2019).
58. RNAi-based biocontrol of wheat nematodes using natural poly-component biostimulants, K.B. Blyuss, F. Fatehi, V.A. Tsygankova, L.O. Biliavska, G.O. Iutynska, A.I. Yemets, Ya.B. Blume, Front. Plant Sci. 10, 483 (2019).
57. Bifurcations and multistability in a model of cytokine-mediated autoimmunity, F. Fatehi, Y.N. Kyrychko, R. Molchanov, K.B. Blyuss, Int. J. Bif. Chaos 29, 1950034 (2019).
2018
56. Modelling the effects of awareness-based interventions to control the mosaic disease of Jatropha curcas, F. Al Basir, K.B. Blyuss, S. Ray, Ecol. Compl. 36, 92-100 (2018).
55. Dynamics of a subthalamic nucleus-globus palidus network with three delays, B. Rahman, Y.N. Kyrychko, K.B. Blyuss, S.J. Hogan, IFAC-PapersOnline 51, 294-299 (2018).
54. Effects of viral and cytokine delays on dynamics of autoimmunity, F. Fatehi, Y.N. Kyrychko, K.B. Blyuss, Mathematics 6, 66 (2018).
53. Bursting endemic bubbles in an adaptive network, N. Sherborne, K.B. Blyuss, I.Z. Kiss, Phys. Rev. E 97, 042306 (2018).
52. Mathematical model of immune response to hepatitis B, F. Fatehi Chenar, Y.N. Kyrychko, K.B. Blyuss, J. Theor. Biol. 447, 98-110 (2018).
51. Stochastic effects in autoimmune dynamics, F. Fatehi, S.N. Kyrychko, A. Ross, Y.N. Kyrychko, K.B. Blyuss, Frontiers Physiol. 9, 45 (2018).
50. Mean-field models for non-Markovian epidemics on networks, N. Sherborne, J.C. Miller, K.B. Blyuss, I.Z. Kiss, J. Math. Biol. 76, 755-778 (2018).
2017
49. Dynamics of vaccination in a time-delayed epidemic model with awareness, G.O. Agaba, Y.N. Kyrychko, K.B. Blyuss, Math. Biosci. 294, 92-99 (2017).
48. Chimera states in multi-strain epidemic models with temporary immunity, L. Bauer, J. Bassett, P. Hövel, Y.N. Kyrychko, K.B. Blyuss, Chaos 27, 114317 (2017).
47. Aging transition in systems of oscillators with global distributed-delay coupling, B. Rahman, K.B. Blyuss, Y.N. Kyrychko, Phys. Rev. E 96, 032203 (2017).
46. Time-delayed SIS epidemic model with population awareness, G.O. Agaba, Y.N. Kyrychko, K.B. Blyuss, Ecol. Compl. 31, 50-56 (2017).
45. Time-delayed model of RNA interference, G. Neofytou, Y.N. Kyrychko, K.B. Blyuss, Ecol. Compl. 30, 11-25 (2017).
44. Mathematical model for the impact of awareness on the dynamics of infectious diseases, G.O. Agaba, Y.N. Kyrychko, K.B. Blyuss, Math. Biosci. 286, 22-30 (2017).
2016
43. Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks, N. Sherborne, K.B. Blyuss, I.Z. Kiss, J. Theor. Biol. 407, 387-400 (2016).
42. Mathematical model of plant-virus interactions mediated by RNA interference, G. Neofytou, Y.N. Kyrychko, K.B. Blyuss, J. Theor. Biol. 403, 129-142 (2016).
41. Mathematical modelling of the dynamics of meningococcal meningitis in Africa, K.B. Blyuss, pp. 221-226, in P.J. Aston, A.J. Mulholland, K.M.M. Tant (Eds.), UK Success Stories in Industrial Mathematics, Springer (2016).
40. (Editorial) Systems medicine of cancer: bringing together clinical data and nonlinear dynamics of
genetic networks, K.B. Blyuss, R. Manchanda, J. Kurths, A. Alsaedi, A. Zaikin, Comp. Math. Mod. Med. 2016, 7904693 (2016).
Full Special Issue on "Systems medicine of cancer: bringing together clinical data and nonlinear dynamics of
genetic networks".
39. Time-delayed model of immune response in plants, G. Neofytou, Y.N. Kyrychko, K.B. Blyuss, J. Theor. Biol. 389, 28-39 (2016).
2015
38. Dynamics of neural systems with discrete and distributed time delays, B. Rahman, K.B. Blyuss, Y.N. Kyrychko, SIAM J. Appl. Dyn. Syst. 14, 2069-2095 (2015).
37. Dynamics of multi-stage infections on networks, N. Sherborne, K.B. Blyuss, I.Z. Kiss, Bull. Math. Biol. 77, 1909-1933 (2015).
36. Time-delayed models of gene regulatory networks, K. Parmar, K.B. Blyuss, Y.N. Kyrychko, S.J. Hogan, Comp. Math. Mod. Med. 2015, 347273 (2015).
35. Understanding the roles of activation threshold and infections in the dynamics of autoimmune disease, K.B. Blyuss, L.B. Nicholson, J. Theor. Biol. 375, 13-20 (2015).
2014
34. Analysis of symmetries in models of multi-strain infections, K.B. Blyuss, J. Math. Biol. 69, 1431-1459 (2014).
33. Synchronization of networks of oscillators with distributed delay coupling, Y.N. Kyrychko, K.B. Blyuss, E. Schöll, Chaos 24, 043117 (2014).
32. Instability of disease-free equilibrium in a model of malaria with immune delay, K.B. Blyuss, Y.N. Kyrychko,
Math. Biosci. 248, 54-56 (2014).
2013
31. Time delay control of symmetry-breaking primary and secondary oscillation death, A. Zakharova, I. Schneider, Y.N. Kyrychko,
K.B. Blyuss, A. Koseska, B. Fiedler, E. Schöll, Europhys. Lett. 104, 50004 (2013).
30. Amplitude and phase dynamics in oscillators with distributed-delay coupling, Y.N. Kyrychko, K.B. Blyuss, E. Schöll, Phil. Trans. Roy. Soc. A 371, 20120466 (2013).
29. A class of pairwise models for epidemic dynamics on weighted networks,
P. Rattana, K.B. Blyuss, K.T.D. Eames, I.Z. Kiss, Bull. Math. Biol. 75, 466-490 (2013).
28. The effects of symmetry on the dynamics of antigenic variation, K.B. Blyuss,
J. Math. Biol. 66, 115-137 (2013).
2012
27. Symmetry breaking in a model of antigenic variation with immune delay, K.B. Blyuss,
Y.N. Kyrychko, Bull. Math. Biol. 74, 2488-2509 (2012).
26. Noise and oscillations in biological systems: multidisciplinary approach between experimental biology,
theoretical modelling and synthetic biology, E. Ullner, S. Aures, L.G. Morelli, A.C. Oates, F. Juelicher, E. Nicola, R. Heussen, D. Whitmore, K. Blyuss, M. Fryett, A. Zakharova, A. Koseska, N.R. Nene, A. Zaikin, Int. J. Mod. Phys. B 26, 1246009 (2012).
25. The role of tunable activation thresholds in the dynamics of autoimmunity, K.B. Blyuss, L.B. Nicholson, J. Theor. Biol. 308, 45-55 (2012).
24. Modelling meningococcal meningitis in the African meningitis belt, T.J. Irving,
K.B. Blyuss, C. Colijn, C.L. Trotter, Epidemiol. Infect. 140, 897-905 (2012).
2011
23. Amplitude death in systems of coupled oscillators with distributed-delay coupling, Y.N. Kyrychko, K.B. Blyuss, E. Schöll, Eur. Phys. J. B 84, 307-315 (2011).
2010
22. Stability and bifurcations in an epidemic model with varying immunity period, K.B. Blyuss, Y.N. Kyrychko, Bull. Math. Biol. 72, 490-505 (2010). 
F1000 Recommended
2009
21. Control of spatiotemporal patterns in the Gray-Scott model, Y.N. Kyrychko, K.B. Blyuss, S.J. Hogan, E. Schöll, Chaos 19, 043126 (2009).
20. Asymptotic properties of the spectrum of neutral delay differential equations, Y.N. Kyrychko,
K.B. Blyuss, P. Hövel, E. Schöll, Dyn. Syst. 24, 361-372 (2009).
19. Immunological serotype interactions and their effect on the epidemiological pattern of dengue, M. Recker, K.B. Blyuss, C.P. Simmons,
T. Tinh Hien, B. Wills, J. Farrar, S. Gupta, Proc. Roy. Soc. B 276, 2541-2548 (2009). (Supplementary Figures:
Figure 1, Figure 2)
18. Stability and bifurcations in a model of antigenic variation in malaria, K.B. Blyuss, S. Gupta, J. Math. Biol. 58, 923-937 (2009).
17. Persistence of travelling waves in a generalized Fisher equation, Y.N. Kyrychko,
K.B. Blyuss, Phys. Lett. A 373, 668-674 (2009).
2008
16. Control of unstable steady states in neutral time-delayed systems, K.B. Blyuss,
Y.N. Kyrychko, P. Hövel, E. Schöll, Eur. Phys. J. B 65, 571-576 (2008).
15. Transverse intersection of invariant manifolds in perturbed multi-symplectic systems,
K.B. Blyuss, G. Derks, Dyn. Syst. 23, 219-256 (2008).
2007
14. Master-equation approach to understanding multistate phase-change
memories and processors, C.D. Wright, K. Blyuss, P. Ashwin, Appl. Phys. Lett. 90, 063113 (2007).
2006
13. Front propagation in a phase field model with phase-dependent
heat absorption, K.B. Blyuss, P. Ashwin, C.D. Wright, A.P. Bassom, Physica D
215, 127-136 (2006).
12. Stability switches in a neutral delay differential equation with
application to real-time dynamic substructuring, Y.N. Kyrychko, K.B. Blyuss, A. Gonzalez-Buelga,
S.J. Hogan, D.J. Wagg, Appl. Mech. Mat. 5-6, 79-84 (2006).
11. Real-time dynamic substructuring in a coupled oscillator-pendulum system,
Y.N. Kyrychko, K.B. Blyuss, A. Gonzalez-Buelga, S.J. Hogan, D.J. Wagg, Proc. R. Soc. A
462, 1271-1294 (2006).
2005
10. On a model of spatial spread of epidemics with long-distance travel,
K.B. Blyuss, Phys. Lett. A 345, 129-136 (2005).
9. Master-equation approach to the study of phase-change processes in data
storage media,
K.B. Blyuss, P. Ashwin, A.P. Bassom, C.D. Wright, Phys. Rev. E 71, 011607 (2005).
8. Global properties of a delayed SIR model with temporary
immunity and nonlinear incidence rate,
Y.N. Kyrychko, K.B. Blyuss, Nonlinear Analysis: Real World Applications 6, 495-507 (2005).
7. Persistence of travelling wave solutions of
a fourth order diffusion system,
Y.N. Kyrychko, M.V. Bartuccelli, K.B. Blyuss, J. Comp. Appl. Math. 176, 433-443 (2005).
6. On a basic model of a two-disease epidemic,
K.B. Blyuss, Y.N. Kyrychko, Appl. Math. Comp. 160, 177-187 (2005).
Pre-2005
5. Length scales and positivity of solutions of a
class of reaction-diffusion equations, M.V. Bartuccelli, K.B. Blyuss, Y.N. Kyrychko,
Comm. Pure Appl. Anal. 3, 25-40 (2004).
4. Transverse instability and its long-term development for solitary waves of the
$(2+1)$-dimensional Boussinesq equation, K.B. Blyuss, T.J. Bridges, G. Derks,
Phys. Rev. E 67, 056626 (2003).
3. Chaotic behaviour of solutions to a perturbed Korteweg-de Vries
equation, K.B. Blyuss, Rep. Math. Phys. 49,
29-38 (2002).
2. Melnikov analysis for multi-symplectic PDEs, K.B. Blyuss,
Proc. Inst. Math. Kiev 43 (2002), 720-724.
1. Chaotic behaviour of nonlinear waves and solitons of perturbed
Korteweg-de Vries equation, K.B. Blyuss, Rep. Math. Phys. 46,
47-54 (2000).
