106 citations · 791 across the 23 of their papers we have counts for
23 papers
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…
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
In this paper, we analyse a recently proposed predator-prey model with ratio dependence and Holling type III functional response, with particular emphasis on the dynamics close to…
Bifurcations and multi-stability in a model of cytokine-mediated autoimmunity
F. Fatehi, Y. N. Kyrychko, R. Molchanov +1
This paper investigates the dynamics of immune response and autoimmunity with particular emphasis on the role of regulatory T cells (Tregs), T cells with different activation thres…
Enhancing noise-induced switching times in systems with distributed delays
Y. N. Kyrychko, I. B. Schwartz
The paper addresses the problem of calculating the noise-induced switching rates in systems with delay-distributed kernels and Gaussian noise. A general variational formulation for…
Effects of viral and cytokine delays on dynamics of autoimmunity
F. Fatehi Chenar, Y. N. Kyrychko, K. B. Blyuss
A major contribution to the onset and development of autoimmune disease is known to come from infections. An important practical problem is identifying the precise mechanism by whi…
Stochastic effects in autoimmune dynamics
F. Fatehi, S. N. Kyrychko, A. Ross +2
Among various possible causes of autoimmune disease, an important role is played by infections that can result in a breakdown of immune tolerance, primarily through the mechanism o…
Mathematical model of immune response to hepatitis B
F. Fatehi Chenar, Y. N. Kyrychko, K. B. Blyuss
A new detailed mathematical model for dynamics of immune response to hepatitis B is proposed, which takes into account contributions from innate and adaptive immune responses, as w…
Aging transition in systems of oscillators with global distributed-delay coupling
B. Rahman, K. B. Blyuss, Y. N. Kyrychko
We consider a globally coupled network of active (oscillatory) and inactive (non-oscillatory) oscillators with distributed-delay coupling. Conditions for aging transition, associat…
Dynamics of vaccination in a time-delayed epidemic model with awareness
G. O. Agaba, Y. N. Kyrychko, K. B. Blyuss
This paper investigates the effects of vaccination on the dynamics of infectious disease, which is spreading in a population concurrently with awareness. The model considers contri…
Chimera states in multi-strain epidemic models with temporary immunity
Larissa Bauer, Jason Bassett, Philipp Hövel +2
We investigate a time-delayed epidemic model for multi-strain diseases with temporary immunity. In the absence of cross-immunity between strains, dynamics of each individual strain…
Mathematical model for the impact of awareness on the dynamics of infectious diseases
G. O. Agaba, Y. N. Kyrychko, K. B. Blyuss
This paper analyses an SIRS-type model for infectious diseases with account for behavioural changes associated with the simultaneous spread of awareness in the population. Two type…
Time-delayed model of RNA interference
G. Neofytou, Y. N. Kyrychko, K. B. Blyuss
RNA interference (RNAi) is a fundamental cellular process that inhibits gene expression through cleavage and destruction of target mRNA. It is responsible for a number of important…
Mathematical model of plant-virus interactions mediated by RNA interference
G. Neofytou, Y. N. Kyrychko, K. B. Blyuss
Cross-protection, which refers to a process whereby artificially inoculating a plant with a mild strain provides protection against a more aggressive isolate of the virus, is known…
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…
Time-delayed models of gene regulatory networks
K. Parmar, K. B. Blyuss, Y. N. Kyrychko +1
In this review we discuss different mathematical models of gene regulatory networks as relevant to the onset and development of cancer. After discussion of alternative modelling ap…
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…