53 citations · 182 across the 12 of their papers we have counts for
13 papers
Eco-evolutionary dynamics in finite network-structured populations with migration
Karan Pattni, Wajid Ali, Mark Broom +1
We consider the effect of network structure on the evolution of a population. Models of this kind typically consider a population of fixed size and distribution. Here we consider e…
Deterministic epidemic models overestimate the basic reproduction number of observed outbreaks
Wajid Ali, Christopher E. Overton, Robert R. Wilkinson +1
The basic reproduction number, , is a well-known quantifier of epidemic spread. However, a class of existing methods for estimating from incidence data early in the epid…
Approximating quasi-stationary behaviour in network-based SIS dynamics
Christopher E. Overton, Robert R. Wilkinson, Adedapo Loyinmi +2
Deterministic approximations to stochastic Susceptible-Infectious-Susceptible models typically predict a stable endemic steady-state when above threshold. This can be hard to relat…
Evolutionary graph theory derived from eco-evolutionary dynamics
Karan Pattni, Christopher E. Overton, Kieran J. Sharkey
A biologically motivated individual-based framework for evolution in network-structured populations is developed that can accommodate eco-evolutionary dynamics. This framework is u…
Methods for approximating stochastic evolutionary dynamics on graphs
Christopher E. Overton, Mark Broom, Christoforos Hadjichrysanthou +1
Population structure can have a significant effect on evolution. For some systems with sufficient symmetry, analytic results can be derived within the mathematical framework of evo…
Localization of eigenvector centrality in networks with a cut vertex
Kieran J. Sharkey
We show that eigenvector centrality exhibits localization phenomena on networks that can be easily partitioned by the removal of a vertex cut set, the most extreme example being ne…