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A model for population regulation with density- and frequency-dependent selection.

作者信息

Poulsen E T

出版信息

J Math Biol. 1979 Dec;8(4):325-43. doi: 10.1007/BF00275830.

DOI:10.1007/BF00275830
PMID:541576
Abstract

The life-cycle of a species with separate generations is divided into a 'reproduction phase' and a 'growing-up phase'. In the reproduction phase we assume random mating and selection due to genotype differences in fecundity of the parents and viability of the offspring. During the growing-up phase we assume a (deterministic) death process in continuous time with death rates for the genotypes which increase linearly with the genotype population sizes. In the absence of genotype differences the model gives logistic population regulation. With genotype differences the model generalizes the usual separate generations selection patterns. In addition to these we exhibit cases with three polymorphic equilibria or with a stable cycle.

摘要

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本文引用的文献

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Biological populations obeying difference equations: stable points, stable cycles, and chaos.服从差分方程的生物种群:稳定点、稳定周期和混沌。
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J Math Biol. 2012 Jun;64(7):1137-56. doi: 10.1007/s00285-011-0448-y. Epub 2011 Jun 21.
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Fecundity differences between mating pairs for a single autosomal locus, sex differences in viability and nonoverlapping generations.单个常染色体基因座交配组合间的繁殖力差异、生存力的性别差异以及非重叠世代。
Theor Popul Biol. 1977 Aug;12(1):1-9. doi: 10.1016/0040-5809(77)90031-4.
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The dynamics of density dependent population models.密度依赖种群模型的动态变化
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7
The joint effects of the release of sterile males and immigration of fertilized females on a density regulated population.释放不育雄虫与受精雌虫迁入对密度调节种群的联合效应。
Theor Popul Biol. 1978 Feb;13(1):40-71. doi: 10.1016/0040-5809(78)90035-7.