AGGREGATION AND STABILITY IN PARASITE HOST MODELS

被引:41
作者
ADLER, FR
KRETZSCHMAR, M
机构
[1] CORNELL UNIV, CTR APPL MATH, ITHACA, NY 14853 USA
[2] CORNELL UNIV, ECOL & SYSTEMAT SECT, ITHACA, NY 14853 USA
[3] UNIV STRATHCLYDE, DEPT STAT & MODELLING SCI, GLASGOW G1 1XH, SCOTLAND
基金
美国国家科学基金会;
关键词
AGGREGATION; STABILITY; HOST PARASITE MODELS;
D O I
10.1017/S0031182000061631
中图分类号
R38 [医学寄生虫学]; Q [生物科学];
学科分类号
07 ; 0710 ; 09 ; 100103 ;
摘要
This paper generalizes the two-dimensional approximation of models of macroparasites on homogeneous populations developed by Anderson & May (1978), focusing on how the dispersion (the variance to mean ratio) of the equilibrium distribution of parasites on hosts is related to the stability of the equilibrium. We show in the approximate system that the equilibrium is stabilized not by aggregation, but by dispersion which increases as a function of the mean. Computer simulations indicate, however, that this analysis fails to capture properly the dynamics of the full system, raising the question of whether any two-dimensional system could produce an adequate approximation. We discuss the relevance of our results to several empirical studies which have examined the relation of dispersion to the mean.
引用
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页码:199 / 205
页数:7
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