25 citations · 51 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
Impact of the infectious period on epidemics
Robert R. Wilkinson, Kieran J. Sharkey
The duration of the infectious period is a crucial determinant of the ability of an infectious disease to spread. We consider an epidemic model that is network based and non-Markov…