12 citations · 24 across the 3 of their papers we have counts for
3 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…
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…
Complete hierarchies of SIR models on arbitrary networks with exact and approximate moment closure
Kieran J Sharkey, Robert R Wilkinson
We first generalise ideas discussed by Kiss et al. (2015) to prove a theorem for generating exact closures (here expressing joint probabilities in terms of their constituent margin…