Eric M. Takyi, Joydeb Bhattacharyya, Rana D. Parshad
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引用次数: 0
Abstract
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.
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。
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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