性别选择性收获策略:弱狭缝效应和非双曲线灭绝边界

IF 1.4 4区生物学 Q4 MATHEMATICAL & COMPUTATIONAL BIOLOGY Acta Biotheoretica Pub Date : 2023-03-18 DOI:10.1007/s10441-023-09462-w

Eric M. Takyi, Joydeb Bhattacharyya, Rana D. Parshad

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引用次数: 0

摘要

最近提出了一种性别选择性捕捞策略，用于控制水生入侵物种，其中捕获入侵物种的雌性，同时放养雄性(简称为FHMS策略)(Lyu等人在Nat resource Model 33(2): e12252,2020)。我们考虑了弱Allee效应的FHMS策略，并证明其消光边界不必是双曲的。据我们所知，这是由性别构成的两室交配模型中第一个非双曲线灭绝边界的例子。该模型具有丰富的动力学结构，存在多个局部共维分岔。我们还证明了全局同斜分岔的存在，它适用于大规模的战略生物控制。

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A Gender-Selective Harvesting Strategy: Weak Allee Effects and a Non-hyperbolic Extinction Boundary

Recently a gender-selective harvesting strategy has been proposed for possible control of aquatic invasive species, wherein females of the invasive species are harvested, whilst stocking the males (abbreviated as FHMS strategy) (Lyu et al. in Nat Resour Model 33(2):e12252, 2020). We consider the FHMS strategy with a weak Allee effect, and show that its extinction boundary need not be hyperbolic. To the best of our knowledge, this is the first example of a non-hyperbolic extinction boundary in two-compartment mating models structured by sex. The model possesses a rich dynamical structure, with several local co-dimension one bifurcations occurring. We also show the occurrence of a global homoclinic bifurcation, which has applicability for large scale strategic bio-control.

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来源期刊

Acta Biotheoretica 生物-生物学

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

3 months

期刊介绍： Acta Biotheoretica is devoted to the promotion of theoretical biology, encompassing mathematical biology and the philosophy of biology, paying special attention to the methodology of formation of biological theory. Papers on all kind of biological theories are welcome. Interesting subjects include philosophy of biology, biomathematics, computational biology, genetics, ecology and morphology. The process of theory formation can be presented in verbal or mathematical form. Moreover, purely methodological papers can be devoted to the historical origins of the philosophy underlying biological theories and concepts. Papers should contain clear statements of biological assumptions, and where applicable, a justification of their translation into mathematical form and a detailed discussion of the mathematical treatment. The connection to empirical data should be clarified. Acta Biotheoretica also welcomes critical book reviews, short comments on previous papers and short notes directing attention to interesting new theoretical ideas.