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Slow and fast scales for superprocess limits of age-structured populations

  • Published:2012-01 Issue:1 Volume:122 Page:250-276
  • ISSN:0304-4149
  • Container-title:Stochastic Processes and their Applications
  • language:en
  • Short-container-title:Stochastic Processes and their Applications

Author:

Méléard Sylvie,Tran Viet Chi

Funder

ANR MANEGE

“Chaire Modélisation Mathématique et Biodiversité of Veolia Environnement-Ecole Polytechnique-Museum National d’Histoire Naturelle-Fondation X”

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Statistics and Probability

Reference36 articles.

1. Super-critical age dependent branching Markov processes and their scaling limits;Athreya;Bernoulli,2011

2. Asymptotic analysis of multiscale approximations to reaction networks;Ball;Annals of Applied Probability,2006

3. Diffusion approximation for an age-structured population;Bose;Annals of Applied Probabilities,1995

4. A scaling limit process for the age-reproduction structure in a Markov population;Bose;Markov Processes and Related Fields,2000

5. Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models via timescale separation;Champagnat;Theoretical Population Biology,2006

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2. From the distributions of times of interactions to preys and predators dynamical systems;Journal of Mathematical Biology;2023-06-07

3. An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics;Journal of Computational Physics;2022-09

4. Dynamic survival analysis for non-Markovian epidemic models;Journal of The Royal Society Interface;2022-06

5. A Markov process for an infinite age-structured population;Latin American Journal of Probability and Mathematical Statistics;2022
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