# 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

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.

[1] 林镇山. 种群动力学[M]. 北京: 科学出版社, 2006.

[2] 陈凤德, 谢向东. 合作种群模型动力学研究[M]. 北京: 科学出版社, 2014.

[3] 陈兰荪. 生物数学引论[M]. 北京: 科学出版社, 1988.

[4] 王高雄. 常微分方程[M]. 北京: 高等教育出版社, 2006.

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