On a model for interference between searching insect parasites

On a model for interference between searching insect parasites
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寻找昆虫寄生虫之间的干扰模型

DOI:
10.1017/s0334270000008390
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发表时间:
1990
期刊:
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
影响因子:
--
通讯作者:
P. Pollett
P. Pollett
中科院分区:
--
文献类型:
--
作者:
P. Pollett

文献摘要

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摘要本文研究了相互干扰对昆虫寄生虫种群搜索效率影响的随机模型。通过仔细研究控制模型的假设,我将解释为什么搜索效率与种群总数N的数量级相同,这一结论与种群生物学家的预测是一致的;以往的研究得出的结论是效率是有序的。本文的主要结果建立了活跃寄生虫数量分布的正态近似。这些在过程的所有阶段都是有效的,特别是在非平衡阶段,在非平衡阶段,状态概率的显式解析公式是不可用的。
Abstract The purpose of this paper is to study a stochastic model which assesses the effect of mutual interference on the searching efficiency in populations of insect parasites. By looking carefully at the assumptions which govern the model, I shall explain why the searching efficiency is of the same order as the total number, N, in the population, a conclusion which is consistent with the predictions of population biologists; previous studies have reached the conclusion that the efficiency is of order . The major results of the paper establish normal approximations for the distribution of the numbers of active parasites. These are valid at all stages of the process, in particular the non-equilibrium phase, where explicit analytic formulae for the state-probabilities are unavailable.