106 citations · 791 across the 23 of their papers we have counts for
10 papers · 1 filter
A new approach to simulating stochastic delayed systems
F. Fatehi, Y. N. Kyrychko, K. B. Blyuss
In this paper we present a new method for deriving Itô stochastic delay differential equations (SDDEs) from delayed chemical master equations (DCMEs). Considering alternative formu…
Time-delayed model of immune response in plants
G. Neofytou, Y. N. Kyrychko, K. B. Blyuss
In the studies of plant infections, the plant immune response is known to play an essential role. In this paper we derive and analyse a new mathematical model of plant immune respo…
Synchronization of networks of oscillators with distributed delay coupling
Y. N. Kyrychko, K. B. Blyuss, E. Schoell
This paper studies the stability of synchronized states in networks where couplings between nodes are characterized by some distributed time delay, and develops a generalized maste…
Time delay control of symmetry-breaking primary and secondary oscillation death
A. Zakharova, I. Schneider, Y. N. Kyrychko +4
We show that oscillation death as a specific type of oscillation suppression, which implies symmetry breaking, can be controlled by introducing time-delayed coupling. In particular…
Symmetry breaking in a model of antigenic variation with immune delay
K. B. Blyuss, Y. N. Kyrychko
Effects of immune delay on symmetric dynamics are investigated within a model of antigenic variation in malaria. Using isotypic decomposition of the phase space, stability problem…
Amplitude and phase dynamics in oscillators with distributed-delay coupling
Y. N. Kyrychko, K. B. Blyuss, E. Schoell
This paper studies the effects of distributed delay coupling on the dynamics in a system of non-identical coupled Stuart-Landau oscillators. For uniform and gamma delay distributio…
Amplitude death in systems of coupled oscillators with distributed-delay coupling
Y. N. Kyrychko, K. B. Blyuss, E. Schoell
This paper studies the effects of coupling with distributed delay on the suppression of oscillations in a system of coupled Stuart-Landau oscillators. Conditions for amplitude deat…
Control of spatiotemporal patterns in the Gray-Scott model
Y. N. Kyrychko, K. B. Blyuss, S. J. Hogan +1
This paper studies the effects of a time-delayed feedback control on the appearance and development of spatiotemporal patterns in a reaction-diffusion system. Different types of co…
Control of unstable steady states in neutral time-delayed systems
K. B. Blyuss, Y. N. Kyrychko, P. Hoevel +1
We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is a…
Stability and bifurcations in an epidemic model with varying immunity period
K. B. Blyuss, Y. N. Kyrychko
An epidemic model with distributed time delay is derived to describe the dynamics of infectious diseases with varying immunity. It is shown that solutions are always positive, and…