3 papers
math.DS2025
Observations on robust diffusive stability and common Lyapunov functions
Blake McGrane-Corrigan, Rafael de Andrade Moral, Oliver Mason
We consider the problem of robust diffusive stability (RDS) for a pair of coupled stable discrete-time positive linear-time invariant (LTI) systems. We first show that the existenc…
math.DS2024
A density-dependent metapopulation model: Extinction, persistence and source-sink dynamics
Blake McGrane-Corrigan, Oliver Mason, Rafael de Andrade Moral
We consider a nonlinear coupled discrete-time model of population dynamics. This model describes the movement of populations within a heterogeneous landscape, where the growth of s…
stat.ME2023
Inferring Stochastic Group Interactions within Structured Populations via Coupled Autoregression
Blake McGrane-Corrigan, Oliver Mason, Rafael de Andrade Moral
The internal behaviour of a population is an important feature to take account of when modelling their dynamics. In line with kin selection theory, many social species tend to clus…