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Recent developments in nonlinear stochastic modelling of social processes

 

作者: D. J. Bartholomew,  

 

期刊: Canadian Journal of Statistics  （WILEY Available online 1984）
卷期: Volume 12, issue 1  

页码: 39-52

 

ISSN:0319-5724

 

年代: 1984

 

DOI:10.2307/3314723

 

出版商: Wiley‐Blackwell

 

关键词: Birth and death processes;competition processes;dynamical systems;epidemic processes;interactive Markov chains;Markov‐chain models;Markov processes;nonlinear stochastic models;quasi‐stationary states;stability of dynamical systems

 

数据来源: WILEY

 

摘要:

AbstractAfter a brief review of social applications of Markov chains, the paper discusses nonlinear (“interactive”) Markov models in discrete and continuous time. The rather subtle relationship between the deterministic and stochastic versions of such models is explored by means of examples. It is shown that the behaviour of nonlinear systems over time periods of practical interest depends critically on the total size as well as on the system parameters. Particular attention is paid to strong and weak forms of quasi‐stationarity exhibited by stochastic sy

 

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