海草物种竞争模型:对称情况下的动力学。

IF 2.6 4区 数学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Mathematical Modelling of Natural Phenomena Pub Date : 2023-09-22 DOI:10.1051/mmnp/2023033
Pablo Moreno-Spiegelberg, Damià Gomila
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引用次数: 0

摘要

本文提出了两种海草在两个空间维度上生长和相互作用的一般种群动态模型。该模型包括海草克隆生长特征的空间项,以及物种间通过净死亡率的耦合。我们考虑了种内和种间的促进和竞争相互作用,允许密度依赖的相互作用机制。在这里,我们研究了具有互反相互作用的非常相似的物种的情况,这允许将模型参数的数量减少到只有四个,并且其分岔结构可以被认为是整个系统的骨干。我们发现参数空间可以被划分为十个具有不同质分岔图的区域。这些制度可以进一步分为五种制度,具有不同的生态解释。我们的分析允许分类所有可能的密度分布和两种共存的草甸的动态行为。
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A model for seagrass species competition: dynamics of the symmetric case.
We propose a general population dynamics model for two seagrass species growing and interacting in two spatial dimensions. The model includes spatial terms accounting for the clonal growth characteristics of seagrasses, and coupling between species through the net mortality rate. We consider both intraspecies and interspecies facilitative and competitive interactions, allowing density-dependent interaction mechanisms. Here we study the case of very similar species with reciprocal interactions, which allows reducing the number of the model parameters to just four, and whose bifurcation structure can be considered the backbone of the complete system. We find that the parameter space can be divided into ten regions with qualitatively different bifurcation diagrams. These regimes can be further grouped into just five regimes with different ecological interpretations. Our analysis allows the classification of all possible density distributions and dynamical behaviors of meadows with two coexisting species.
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来源期刊
Mathematical Modelling of Natural Phenomena
Mathematical Modelling of Natural Phenomena MATHEMATICAL & COMPUTATIONAL BIOLOGY-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
CiteScore
5.20
自引率
0.00%
发文量
46
审稿时长
6-12 weeks
期刊介绍: The Mathematical Modelling of Natural Phenomena (MMNP) is an international research journal, which publishes top-level original and review papers, short communications and proceedings on mathematical modelling in biology, medicine, chemistry, physics, and other areas. The scope of the journal is devoted to mathematical modelling with sufficiently advanced model, and the works studying mainly the existence and stability of stationary points of ODE systems are not considered. The scope of the journal also includes applied mathematics and mathematical analysis in the context of its applications to the real world problems. The journal is essentially functioning on the basis of topical issues representing active areas of research. Each topical issue has its own editorial board. The authors are invited to submit papers to the announced issues or to suggest new issues. Journal publishes research articles and reviews within the whole field of mathematical modelling, and it will continue to provide information on the latest trends and developments in this ever-expanding subject.
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