The influence of internal fluctuations and external noise on the gene frequency in a haploid population

DOI10.1007/BF02460011zbMath0568.92013OpenAlexW4237133640WikidataQ52678891 ScholiaQ52678891MaRDI QIDQ1061046

Mark F. Schumaker, Werner Horsthemke

Publication date: 1985

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460011

zbMATH Keywords

competitionphase transitionscritical exponentscritical pointselectionMarkov chainexternal noisemutationgenetic diversitystationary probability densityinternal fluctuationsFisher-Wright matinghaploid population of constant sizemean first passages times of the gene frequencyrandom selection coefficient

Mathematics Subject Classification ID

Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Cites Work

• Unnamed Item
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Advanced synergetics. Instability hierarchies of self-organizing systems and devices
• Temporal fluctuations in selection intensities: Case of small population size

This page was built for publication: The influence of internal fluctuations and external noise on the gene frequency in a haploid population