On a population model with density dependence and Allee effect.

IF 1.3 4区 生物学 Q3 BIOLOGY
Theory in Biosciences Pub Date : 2023-11-01 Epub Date: 2023-10-02 DOI:10.1007/s12064-023-00407-y
J S Cánovas, M Muñoz-Guillermo
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引用次数: 0

Abstract

We study the dynamics of a discrete model with two different stages of the population, the pre-adult stage governed by a Beverton-Holt-type map and the adult stage by a [Formula: see text]-Ricker map. The composition of both maps gives the dynamics. The existence of the Allee effect is easily observed. We check that the model can evolve from a sure extinction to complicated dynamics. The presence of an almost sure extinction is proved to exist when the dynamical complexity is the highest possible.

Abstract Image

关于具有密度依赖性和Allee效应的种群模型。
我们研究了具有两个不同种群阶段的离散模型的动力学,成年前阶段由Beverton-Holt型图控制,成年阶段由[公式:见正文]-Ricker图控制。这两张地图的组成提供了动力学。Allee效应的存在是很容易观察到的。我们检验了该模型可以从一个确定的灭绝演变为复杂的动力学。当动力学复杂度尽可能高时,几乎肯定灭绝的存在被证明是存在的。
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来源期刊
Theory in Biosciences
Theory in Biosciences 生物-生物学
CiteScore
2.70
自引率
9.10%
发文量
21
审稿时长
3 months
期刊介绍: Theory in Biosciences focuses on new concepts in theoretical biology. It also includes analytical and modelling approaches as well as philosophical and historical issues. Central topics are: Artificial Life; Bioinformatics with a focus on novel methods, phenomena, and interpretations; Bioinspired Modeling; Complexity, Robustness, and Resilience; Embodied Cognition; Evolutionary Biology; Evo-Devo; Game Theoretic Modeling; Genetics; History of Biology; Language Evolution; Mathematical Biology; Origin of Life; Philosophy of Biology; Population Biology; Systems Biology; Theoretical Ecology; Theoretical Molecular Biology; Theoretical Neuroscience & Cognition.
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