Allee效应对第一个种群具有避难所的偏害系统的动力学行为影响
The Influence of the Allee Effect on the Dynamic Behavior of Two Species Amensalism System with a Refuge for the First Species
DOI: 10.12677/AAM.2019.86135, PDF,  被引量    科研立项经费支持
作者: 黄小燕, 陈凤德：福州大学数学与计算机科学学院，福建 福州
关键词: 偏害；避难所；Allee效应；分支；Amensalism； Refuge； Allee Effect； Bifurcation
摘要: 本文考虑了第一个种群内禀增长率具有Allee效应的第一个种群具有避难所的偏害系统，探讨了系统平衡点的存在性及其稳定性。研究表明：在考虑了第一个种群内禀增长率的Allee效应后，随着参数的变化，系统平衡点的个数和稳定性会发生变化，进而产生鞍结分支。
Abstract: In this paper, the Allee effect on the intrinsic growth rate is incorporate to the first species of two species amensalism model with a refuge for the first species. The existence and stability of the equilibria of the system are discussed. The study shows that after considering the Allee effect of the intrinsic growth rate of population, the number and the stability of equilibria of the system change with the change of the parameter and then the saddle-node bifurcation are generated.
文章引用：黄小燕, 陈凤德. Allee效应对第一个种群具有避难所的偏害系统的动力学行为影响[J]. 应用数学进展, 2019, 8(6): 1166-1180. https://doi.org/10.12677/AAM.2019.86135

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