Dynamics of escape mutants

DOI10.1016/j.tpb.2007.01.005zbMath1123.92027OpenAlexW2074843929WikidataQ51920753 ScholiaQ51920753MaRDI QIDQ2459056

Patsy Haccou, Maria Conceição Serra

Publication date: 5 November 2007

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2007.01.005

zbMATH Keywords

probability generating functionmutationescape and extinction probabilityMulti-type galton-watson branching process

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85)

Related Items (19)

Quantifying stochastic introgression processes with hazard rates ⋮ Evolutionary escape on complex genotype-phenotype networks ⋮ Surviving evolutionary escape on complex genotype-phenotype networks ⋮ On Two-Type Decomposable Branching Processes in Continuous Time and Time to Escape Extinction ⋮ Branching processes in continuous time as models of mutations: computational approaches and algorithms ⋮ Adaptive gene introgression after secondary contact ⋮ The rate at which asexual populations cross fitness valleys ⋮ Unnamed Item ⋮ Exponentiality of first passage times of continuous time Markov chains ⋮ Estimation of parameters in biological species with several mating and reproduction alternatives ⋮ Introgression of resistance genes between populations: A model study of insecticide resistance in Bemisia tabaci ⋮ Quantifying time-inhomogeneous stochastic introgression processes with hazard rates ⋮ Extinction in lower Hessenberg branching processes with countably many types ⋮ Multitype Bienaymé–Galton–Watson processes escaping extinction ⋮ On mutations in the branching model for multitype populations ⋮ Crossing a fitness valley as a metastable transition in a stochastic population model ⋮ Multi-type age-dependent branching processes as models of metastasis evolution ⋮ Conditional Distributions and Waiting Times in Multitype Branching Processes ⋮ Modeling escape from extinction with decomposable multi-type Sevastyanov branching processes

Cites Work

• Unnamed Item
• High-level overshoot for a class of random sequences
• Evolutionary dynamics of invasion and escape
• A limit theorem for a supercritical branching process
• On the Waiting Time to Escape

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