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Dynamics Analysis of an Aquatic Ecological Model with Allee Effect

Applied Mathematics 2022年第10期13卷 822-844页

作者： Lingzhen Zheng jueyuan yan Hengguo Yu School of Mathematics and Physics Wenzhou University Wenzhou China

In this paper, based on the dynamic relationship between algae and protozoa, an aquatic ecological model with Allee effect was established to investigate how some ecological environment factors affect coexistence mode of algae and protozoa. Mathematical derivation works mainly gave some key conditions to ensure the existence and stability of all possible equilibrium points, and to induce the occurrence of transcritical bifurcation and Hopf bifurcation. The numerical simulation works mainly revealed ecological relationship change characteristics of algae and protozoa with the help of bifurcation dynamics evolution process. Furthermore, it was also worth emphasizing that Allee effect had a strong influence on the dynamic relationship between algae and protozoa. In a word, it was hoped that the research results could provide some theoretical support for algal bloom control, and also be conducive to the rapid development of aquatic ecological models.

关键词： Algae Protozoa Allee Effect Bifurcation Relationship

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Population Interaction Dynamics Analysis of an Algae-Fish System

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Applied Mathematics 2022年第6期13卷 544-565页

作者： Ziyou Zhuang jueyuan yan Xinyu Xie Lihua Dai Chaoyue Huang Fangfang Chen Hengguo Yu School of Mathematics and Physics Wenzhou University Wenzhou China Key Laboratory for Subtropical Oceans & Lakes Environment and Biological Resources Utilization Technology of Zhejiang Wenzhou University Wenzhou China

In this paper, before the implementation of ecological laboratory experiments, the population interaction dynamics of an algae-fish system were studied mathematically and numerically. The purpose of this study was to explore how filter-feeding fish population affects the growth dynamics of the algae population. Mathematically theoretical works have been pursuing the investigation of some key conditions for stability of the equilibrium and existence of Hopf bifurcation. Numerical simulation works have been parsing the discovery of the growth dynamics of the algae population in view of population interaction dynamics, which in turn could prove the feasibility of the theoretical derivation and reveal the relationship between filter-feeding fish abundance and algal biomass in fish-drift algae communiyua. Furthermore, it was successful to show that the filter-feeding fish population may be a crucial factor in controlling the proliferation of the algae population, which could also directly grasp the evolution of community dynamics. All these results were expected to be useful in the study of community dynamics and laboratory elimination experiment of the algae population.

关键词： Algae Population Filter-Feeding Fish Population Interaction Dynamics Hopf Bifurcation Stability

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古建筑榫卯节点抗震加固数值模拟研究

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水利与建筑工程学报 2010年第3期8卷 23-27页

作者：周乾闫维明北京工业大学工程抗震与结构诊治北京市重点实验室北京100124 故宫博物院北京100009

古建筑木结构榫卯节点的抗震加固方法研究,是保护古建筑工作中一项非常重要的内容。该文以遭受汶川地震的四川省剑阁县觉苑寺大雄宝殿为例,根据宝殿的典型震害症状,采用铁件加固榫卯节点的思路,用数值模拟方法,对结构加固前后的动力特... 详细信息

古建筑木结构榫卯节点的抗震加固方法研究,是保护古建筑工作中一项非常重要的内容。该文以遭受汶川地震的四川省剑阁县觉苑寺大雄宝殿为例,根据宝殿的典型震害症状,采用铁件加固榫卯节点的思路,用数值模拟方法,对结构加固前后的动力特性及地震反应状况进行了对比分析。结果表明:在地震作用下,节点在x、y向的位移及加速度反应均有所减小,结构的变形响应明显减小,数值模拟的结果与结构震害症状基本吻合。采用该方法进行古建筑木结构榫卯节点加固,结构具有更稳定的振动形式。

关键词：木结构抗震加固数值模拟榫卯节点中国古建筑

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