47 citations · 94 across the 5 of their papers we have counts for
5 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…
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…
Mean-field models for non-Markovian epidemics on networks: from edge-based compartmental to pairwise models
N. Sherborne, J. C. Miller, K. B. Blyuss +1
This paper presents a novel extension of the edge-based compartmental model for epidemics with arbitrary distributions of transmission and recovery times. Using the message passing…
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…