Model of phenotypic evolution in hermaphroditic populations

DOI10.1007/s00285-014-0798-3zbMath1316.92056arXiv1309.3243OpenAlexW2592536536WikidataQ35193415 ScholiaQ35193415MaRDI QIDQ2339972

Paweł Zwoleński, Ryszard Rundnicki

Publication date: 14 April 2015

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

Full work available at URL: https://arxiv.org/abs/1309.3243

zbMATH Keywords

asymptotic stabilitymeasure valued processphenotypic evolutionnonlinear transport equationsexual population model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Nonlinear differential equations in abstract spaces (34G20) Nonlinear evolution equations (47J35)

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Cites Work

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• A rigorous model study of the adaptive dynamics of Mendelian diploids
• Trait substitution sequence process and canonical equation for age-structured populations
• Stability of a 4th-order curvature condition arising in optimal transport theory
• Using moment equations to understand stochastically driven spatial pattern formation in ecological systems
• Asymptotic stability of some nonlinear Boltzmann-type equations
• A microscopic probabilistic description of a locally regulated population and macroscopic approximations
• An application of the Kantorovich-Rubinstein maximum principle in the theory of the Tjon-Wu equation
• Limit theorems for individual-based models in economics and finance
• A microscopic interpretation for adaptive dynamics trait substitution sequence models
• Asymptotic behaviour of solutions of the Tjon-Wu equation
• Fragmentation-Coagulation Models of Phytoplankton
• Phytoplankton Dynamics: from the Behavior of Cells to a Transport Equation
• From Individual Stochastic Processes to Macroscopic Models in Adaptive Evolution
• Exact solutions of the Boltzmann equation
• An elementary proof of the identity
• Stochastic and deterministic models for age-structured populations with genetically variable traits

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