Stochastic semigroups and their applications to biological models

Demonstratio mathematica

article

Katarzyna Pichór¹  Ryszard Rudnicki²  Marta Tyran-Kamińska¹ 

[1] Institute of Mathematics, Silesian University;Institute of Mathematics, Polish Academy of Sciences, Poland and Institute of Mathematics, Silesian University

关键词: stochastic semigroups;    piecewise deterministic processes;    partial differential equation;    biological models;   

DOI  :  10.1515/dema-2013-0377

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

Some recent results concerning generation and asymptotic properties of stochastic semigroups are presented. The general results are applied to biological models described by piecewise deterministic Markov processes: birth-death processes, the evolution of the genome, genes expression and physiologically structured models.

【 授权许可】

CC BY