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将环境随机性纳入生物种群模型。

Incorporating environmental stochasticity within a biological population model.

作者信息

Varughese M M, Fatti L P

机构信息

School of Statistics and Actuarial Science, University of the Witwatersrand, South Africa.

出版信息

Theor Popul Biol. 2008 Aug;74(1):115-29. doi: 10.1016/j.tpb.2008.05.004. Epub 2008 May 27.

DOI:10.1016/j.tpb.2008.05.004
PMID:18571685
Abstract

The birth and death transition rates for a population are modelled as functions of both the population size and the environmental condition. An assortment of important theoretical results and techniques that can be utilized to analyze such a population's behaviour is covered. Consequently, these results and techniques are used to study two examples. Firstly, we study a population with a stable equilibrium state, whose per capita birth and death rates are linearly related to the environmental condition. (The environmental condition in turn is modelled as an Ornstein-Uhlenbeck process.) Secondly, we study a population affected by two interdependent environmental factors.

摘要

一个种群的出生和死亡转换率被建模为种群规模和环境条件的函数。涵盖了一系列可用于分析此类种群行为的重要理论结果和技术。因此,这些结果和技术被用于研究两个例子。首先,我们研究一个具有稳定平衡状态的种群,其人均出生率和死亡率与环境条件呈线性相关。(环境条件又被建模为一个奥恩斯坦 - 乌伦贝克过程。)其次,我们研究一个受两个相互依赖的环境因素影响的种群。

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