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math.PR2026
Simple repair policies and decompositions for semi-coherent systems with simultaneous failures
Guido Lagos, Jorge Navarro, Hector Olivero
We consider semi-coherent binary systems that are subject to simultaneous failures of its components. These are systems whose components can be either working or failed; the system…
math.PR2025
Wright--Fisher kernels: from linear to non-linear dynamics, ergodicity and McKean--Vlasov scaling limits
Fernando Cordero, Christian Jorquera, Héctor Olivero +1
We study the evolution of a pathogen with two allelic types infecting a population of hosts, where within-host type frequencies evolve in discrete time. Our framework is built on a…
math.PR2025
Age-structured stochastic populations under dynamic harvesters' behavior: well-posedness, asymptotic stability and numerically-amenable approximations
M. Isidora Ãvila-Thieme, Kerlyns MartÃnez, Héctor Olivero +2
In this paper we study a model of age-structured ecological populations in continuous interaction with a community of harvesters. We propose an individual-based model for this feed…