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

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。

Abstract: 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.