A stochastic model for the evolution of species with random fitness

DOI10.1214/18-ECP190zbMath1409.60109arXiv1804.07208OpenAlexW2797968474MaRDI QIDQ1725479

Fabio Zucca, Jüri Lember, Daniela Bertacchi

Publication date: 14 February 2019

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.07208

zbMATH Keywords

survivallimit distributionfitnessqueueing processbirth and death processgeneralized GMS model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (2)

Unnamed Item ⋮ An evolution model with event-based extinction

Cites Work

• The fitness of the strongest individual in the subcritical GMS model
• On a link between a species survival time in an evolution model and the Bessel distributions
• On a species survival model
• Limit behavior of the Bak-Sneppen evolution model.
• An empirical process interpretation of a model of species survival
• On the generalization of the GMS evolutionary model
• A stochastic model of evolution

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