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5 papers · 2 filters
Non-homogeneous random walks, subdiffusive migration of cells and anomalous chemotaxis
S. Fedotov, A. O. Ivanov, A. Y. Zubarev
This paper is concerned with a non-homogeneous in space and non-local in time random walk model for anomalous subdiffusive transport of cells. Starting with a Markov model involvin…
Stochastic oscillations of adaptive networks: application to epidemic modelling
Tim Rogers, William Clifford-Brown, Catherine Mills +1
Adaptive-network models are typically studied using deterministic differential equations which approximately describe their dynamics. In simulations, however, the discrete nature o…
Jamming and pattern formation in models of segregation
Tim Rogers, Alan J. McKane
We investigate the Schelling model of social segregation, formulated as an intrinsically non-equilibrium system, in which the agents occupy districts (or patches) rather than sites…
Demographic noise and piecewise deterministic Markov processes
John Realpe-Gomez, Tobias Galla, Alan J. McKane
We explore a class of hybrid (piecewise deterministic) systems characterized by a large number of individuals inhabiting an environment whose state is described by a set of continu…
Noise-induced metastability in biochemical networks
Tommaso Biancalani, Tim Rogers, Alan J. McKane
Intra-cellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we…