具有非选择性收获和Allee效应的水生群落模型动力学分析。

IF 2.6 4区 工程技术 Q1 Mathematics
Huanyi Liu, Hengguo Yu, Chuanjun Dai, Zengling Ma, Qi Wang, Min Zhao
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引用次数: 6

摘要

本文为探讨杀藻菌对藻类的抑制机制,构建了具有非选择性收获和Allee效应的水生灭藻模型。数学著作主要给出了保证平衡点存在和稳定的一些临界条件,并推导了鞍节点分岔和跨临界分岔的一些阈值条件。数值模拟工作主要揭示了非选择性收获在群落动态关系中起着重要作用。同时,从杀藻菌控制藻类的角度对跨临界分岔和鞍结分岔提出了一些生物学解释。最后,本文的研究结果可为研究水藻生态系统的动态行为和生物抑藻技术提供参考。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamical analysis of an aquatic amensalism model with non-selective harvesting and Allee effect.

In this paper, in order to explore the inhibition mechanism of algicidal bacteria on algae, we constructed an aquatic amensalism model with non-selective harvesting and Allee effect. Mathematical works mainly gave some critical conditions to guarantee the existence and stability of equilibrium points, and derived some threshold conditions for saddle-node bifurcation and transcritical bifurcation. Numerical simulation works mainly revealed that non-selective harvesting played an important role in amensalism dynamic relationship. Meanwhile, we proposed some biological explanations for transcritical bifurcation and saddle-node bifurcation from the aspect of algicidal bacteria controlling algae. Finally, all these results were expected to be useful in studying dynamical behaviors of aquatic amensalism ecosystems and biological algae controlling technology.

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来源期刊
Mathematical Biosciences and Engineering
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).
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