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math.PR2026
Individual-based stochastic model with unbounded growth, birth and death rates: a tightness result
Virgile Brodu
We study population dynamics through a general growth/degrowth-fragmentation process, with resource consumption and unbounded growth/degrowth, birth and death rates. Our model is s…
math.PR2025
An individual-based stochastic model reveals strong constraints on allometric relationships with minimal metabolic and ecological assumptions
Sylvain Billiard, Virgile Brodu, Nicolas Champagnat +1
We design a stochastic individual-based model structured in energy, for single species consuming an external resource, where populations are characterized by a typical energy at bi…