莱斯利逻辑模型的达尔文版本，适用于年龄结构的人群。

IF 2.6 4区工程技术 Q1 Mathematics

Mathematical Biosciences and Engineering Pub Date : 2025-04-21 DOI:10.3934/mbe.2025047

Jim M Cushing

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引用次数: 0

摘要

已知的用于年龄结构种群动态的经典莱斯利逻辑模型的全局动态扩展到单个表型特征（受自然选择影响）模型的达尔文动态版本。这是在进化速度不超过上限的假设下进行的，并且当个体的遗传性状等于群体平均性状时，个体所经历的最大种内竞争强度发生。文中给出了一个例子，将结果应用于一个模型，在这个模型中，特定年龄的出生率受自然选择的影响，并说明了进化倾向于iteropopoustype或semelparoustype生活史策略的条件。

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A Darwinian version of the Leslie logistic model for age-structured populations.

The known global dynamics of the classic Leslie logistic model for the dynamics of an age-structured population are extended to a Darwinian dynamic version of the model for a single phenotypic trait (that is subject to natural selection). This is done under the assumption that the speed of evolution does not exceed an upper bound and that the maximum intraspecific competition intensity experienced by an individual occurs when its inherited trait equals that of the population mean trait. An example is given that applies the results to a model in which age-specific birth rates are subject to natural selection and that illustrates conditions under which evolution favors an iteroparous-type or a semelparous-type of life history strategy.

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来源期刊

Mathematical Biosciences and Engineering 工程技术-数学跨学科应用

CiteScore

3.90

自引率

7.70%

发文量

586

审稿时长

>12 weeks

期刊介绍： Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).