Mean-field approximation to a spatial host-pathogen model

被引:32
作者
de Aguiar, MAM [1 ]
Rauch, EM
Bar-Yam, Y
机构
[1] New England Complex Syst Inst, Cambridge, MA 02138 USA
[2] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083970 Campinas, SP, Brazil
[3] MIT, Artificial Intelligence Lab, Cambridge, MA 02139 USA
[4] Harvard Univ, Dept Mol & Cellular Biol, Cambridge, MA 02138 USA
来源
PHYSICAL REVIEW E | 2003年 / 67卷 / 04期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevE.67.047102
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We study the mean-field approximation to a simple spatial host-pathogen model that has been shown to display interesting evolutionary properties. We show that previous derivations of the mean-field equations for this model are actually only low-density approximations to the true mean-field limit. We derive the correct equations and the corresponding equations including pair correlations. The process of invasion by a mutant type of pathogen is also discussed.
引用
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页数:4
相关论文
共 21 条
  • [1] [Anonymous], GEOMETRY ECOLOGICAL
  • [2] [Anonymous], ADV COMPLEX SYST
  • [3] Bar-Yam Y., 1997, Dynamics of complex systems, V213
  • [4] THE SPATIAL DYNAMICS OF HOST PARASITOID SYSTEMS
    COMINS, HN
    HASSELL, MP
    MAY, RM
    [J]. JOURNAL OF ANIMAL ECOLOGY, 1992, 61 (03) : 735 - 748
  • [5] DEAGUIAR MAM, UNPUB
  • [6] KINETIC PHASE-TRANSITIONS IN A SURFACE-REACTION MODEL - MEAN-FIELD THEORY
    DICKMAN, R
    [J]. PHYSICAL REVIEW A, 1986, 34 (05): : 4246 - 4250
  • [7] The evolution of parasite virulence and transmission rate in a spatially structured population
    Haraguchi, Y
    Sasaki, A
    [J]. JOURNAL OF THEORETICAL BIOLOGY, 2000, 203 (02) : 85 - 96
  • [8] SPECIES COEXISTENCE AND SELF-ORGANIZING SPATIAL DYNAMICS
    HASSELL, MP
    COMINS, HN
    MAY, RM
    [J]. NATURE, 1994, 370 (6487) : 290 - 292
  • [9] Iwasa Y., 2000, The Geometry of Ecological Interactions: Simplifying Spatial Complexity
  • [10] Kareiva P., 1997, SPATIAL ECOLOGY ROLE