AAM  >> Vol. 5 No. 2 (May 2016)

    鱼群偏害共生动力学模型的稳定性分析
    Stability Analysis on the Dynamic Model of Fish Swarm Amensalism

  • 全文下载: PDF(937KB) HTML   XML   PP.255-261   DOI: 10.12677/AAM.2016.52032  
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作者:  

熊焕焕,王斌斌,张海亮:浙江海洋大学数学系,浙江 舟山

关键词:
稳定性动力学模型偏害共生相轨线数值模拟Stability Dynamic Model Amensalism Phase Trajectory Numerical Simulation

摘要:
本文建立了两种鱼群的偏害共生动力学模型,用特征理论讨论了奇点的稳定性,并画出相应的相轨线。论文也阐述了每个奇点的生物意义,并通过定性分析得出该系统中必有唯一稳定点存在。最后对稳定点进行了数值模拟。

In the paper, we build the amensalism dynamic model for two fish swarms, discuss the stability of the model using the characteristic theory and draw up corresponding phase trajectories. Secondly, the biological significance of each singularity is described, and the uniqueness of the system stable points is obtained also by qualitative analysis. Finally, the stable points are numerically simulated.

文章引用:
熊焕焕, 王斌斌, 张海亮. 鱼群偏害共生动力学模型的稳定性分析[J]. 应用数学进展, 2016, 5(2): 255-261. http://dx.doi.org/10.12677/AAM.2016.52032