具有遗传效应的随机冈珀茨模型。
A stochastic Gompertz model with hereditary effect.
出版信息
J Math Biol. 1979 Sep 1;8(2):189-96. doi: 10.1007/BF00279721.
PMID:490062
Abstract
In this paper we have studied a stochastic version of the Gompertz model for population growth of a single species after incorporating the aspect of heredity. Various statistical characteristics--the mean-value function, covariance-kernel, etc.--are evaluated for a delta-correlated process and their asymptotic values obtained. The effect of the hereditary kernel on the various statistics is discussed and it is found that it is to shift the distribution towards the origin.
摘要
在本文中，我们研究了在纳入遗传因素后，单物种种群增长的Gompertz模型的一个随机版本。针对一个δ相关过程评估了各种统计特征——均值函数、协方差核等——并得到了它们的渐近值。讨论了遗传核对各种统计量的影响，发现它会使分布向原点移动。
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本文引用的文献
1
Vito Volterra and theoretical ecology.维托·沃尔泰拉与理论生态学
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