A stochastic evolutionary model for survival dynamics

被引:3
作者
Fenner, Trevor [1 ]
Levene, Mark [1 ]
Loizou, George [1 ]
机构
[1] Univ London, Dept Comp Sci & Informat Syst, London WC1E 7HX, England
关键词
Survival analysis; Power-law distribution; Stochastic model;
D O I
10.1016/j.physa.2014.05.038
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The recent interest in human dynamics has led researchers to investigate the stochastic processes that explain human behaviour in different contexts. Here we propose a generative model to capture the essential dynamics of survival analysis, traditionally employed in clinical trials and reliability analysis in engineering. In our model, the only implicit assumption made is that the longer an actor has been in the system, the more likely it is to have failed. We derive a power-law distribution for the process and provide preliminary empirical evidence for the validity of the model from two well-known survival analysis data sets, (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:595 / 600
页数:6
相关论文
共 50 条
  • [21] Dynamics of a stochastic model for continuous flow bioreactor with Contois growth rate
    Zhenzhen Chen
    Tonghua Zhang
    Journal of Mathematical Chemistry, 2013, 51 : 1076 - 1091
  • [22] Survival and Stationary Distribution Analysis of a Stochastic Competitive Model of Three Species in a Polluted Environment
    Yu Zhao
    Sanling Yuan
    Junling Ma
    Bulletin of Mathematical Biology, 2015, 77 : 1285 - 1326
  • [23] AN AGGREGATE STOCHASTIC MODEL INCORPORATING INDIVIDUAL DYNAMICS FOR PREDATION MOVEMENTS OF ANELOSIMUS STUDIOSUS
    Quijano, Alex John
    Joyner, Michele L.
    Seier, Edith
    Hancock, Nathaniel
    Largent, Michael
    Jones, Thomas C.
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2015, 12 (03) : 585 - 607
  • [24] Analysis of Single Bacterium Dynamics in a Stochastic Model of Toxin-Producing Bacteria
    Paterson, Jamie
    Lopez-Garcia, Martin
    Gillard, Joseph
    Laws, Thomas R.
    Lythe, Grant
    Molina-Paris, Carmen
    PERFORMANCE ENGINEERING AND STOCHASTIC MODELING, 2021, 13104 : 210 - 225
  • [25] Stochastic analysis of survival and sensitivity in a competition model influenced by toxins under a fluctuating environment
    Ma, Yuanlin
    Yu, Xingwang
    AIMS MATHEMATICS, 2024, 9 (04): : 8230 - 8249
  • [26] A deterministic and stochastic model for the system dynamics of tumor-immune responses to chemotherapy
    Liu, Xiangdong
    Li, Qingze
    Pan, Jianxin
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 500 : 162 - 176
  • [27] A stochastic, evolutionary model for range shifts and richness on tropical elevational gradients under Quaternary glacial cycles
    Colwell, Robert K.
    Rangel, Thiago F.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 2010, 365 (1558) : 3695 - 3707
  • [28] Survival and Stationary Distribution Analysis of a Stochastic Competitive Model of Three Species in a Polluted Environment
    Zhao, Yu
    Yuan, Sanling
    Ma, Junling
    BULLETIN OF MATHEMATICAL BIOLOGY, 2015, 77 (07) : 1285 - 1326
  • [29] A Stochastic Filtering Approach To Survival Analysis
    Jin Feng
    Statistical Inference for Stochastic Processes, 2002, 5 (1) : 23 - 53
  • [30] A Stochastic Population Dynamics Model for Aedes Aegypti: Formulation and Application to a City with Temperate Climate
    Marcelo Otero
    Hernán G. Solari
    Nicolás Schweigmann
    Bulletin of Mathematical Biology, 2006, 68 : 1945 - 1974