Phenotypic diversity and population growth in a fluctuating environment

DOI10.1239/aap/1308662484zbMath1219.60071arXiv0912.1194OpenAlexW2057966223MaRDI QIDQ3021242

Clément Dombry, Christian Mazza, Vincent Bansaye

Publication date: 22 July 2011

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1194

zbMATH Keywords

optimal strategyextinctionLyapunov exponentbranching process in a random environmentphenotypic diversitytypical genealogy

Mathematics Subject Classification ID

Applications of statistics to social sciences (62P25) Processes in random environments (60K37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

The contact process with switching ⋮ Optimization and phenotype allocation ⋮ Invasion and fixation of microbial dormancy traits under competitive pressure ⋮ A branching process model for dormancy and seed banks in randomly fluctuating environments

Cites Work

• Mutation, selection, and ancestry in branching models: a variational approach
• Limit theorems for branching processes in a random environment
• Limit theorems for subcritical branching processes in random environment.
• Criticality for branching processes in random environment
• Optimal mixed strategies in stochastic environments
• Stochastic gene expression in switching environments
• Supercritical multitype branching processes: the ancestral types of typical individuals
• On Branching Processes in Random Environments
• On Branching Processes with Random Environments: I: Extinction Probabilities
• Branching Processes with Random Environments, II: Limit Theorems

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