Weak convergence of a mass-structured individual-based model

DOI10.1007/s00245-014-9271-3zbMath1325.60139OpenAlexW2058351024MaRDI QIDQ496117

Coralie Fritsch, Fabien Campillo

Publication date: 17 September 2015

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-014-9271-3

zbMATH Keywords

weak convergenceMarkov processesMonte Carlo simulationintegro-differential equationindividual-based modelbacterial populationmass-structured chemostat model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Monte Carlo methods (65C05) Integro-ordinary differential equations (45J05) Dynamical systems in biology (37N25) Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (7)

Links between deterministic and stochastic approaches for invasion in growth-fragmentation-death models ⋮ Gaussian approximations for chemostat models in finite and infinite dimensions ⋮ Quasi-stationary behavior for a piecewise deterministic Markov model of chemostat: the Crump-Young model ⋮ A numerical approach to determine mutant invasion fitness and evolutionary singular strategies ⋮ Probabilistic and Piecewise Deterministic models in Biology ⋮ Rare Mutations Limit of a Steady State Dispersal Evolution Model ⋮ Weak convergence of a mass-structured individual-based model

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