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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…