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Some applications, properties and conjectures for higher order cumulants of a markovian stepping-stone model

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Publication:4856047
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DOI10.1080/03610929308831217zbMath0831.92021OpenAlexW2024076830MaRDI QIDQ4856047

Qi Zheng, James H. Matis

Publication date: 7 January 1996

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929308831217

zbMATH Keywords

linear differential equationscompartmental modelAfricanized honey beesKolmogorov forward equationinterconnected population processjoint cumulantsinsect population growthMarkovian stepping-stone modeltridiagonal coefficient matrices


Mathematics Subject Classification ID

Population dynamics (general) (92D25) Special processes (60K99) Eigenvalues, singular values, and eigenvectors (15A18) Linear ordinary differential equations and systems (34A30)


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A carcinogenesis model describing mutational events at the DNA adduct level, Describing the spread of biological populations using stochastic compartmental models with births


Uses Software

  • Mathematica
  • R


Cites Work

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  • A survey of stepping-stone models in population dynamics
  • Interconnected birth and death processes
  • Birth, death and migration processes
  • Interconnected population processes
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