摘要
考虑一类具有Allee效应的偏害系统,首先对系统的平衡点性态进行了分析,其次对系统的持久性进行了验证,然后利用Dulac判定准则证明了系统在正平衡点附近不存在极限环和全局渐近稳定的结论,最后通过数值仿真解释了系统的Allee效应.
A class of amensalism system with Allee effect was considered.Firstly,we analyzed the behavior of the equilibrium of the system,and then verified the persistence of the system.Then we used the Dulac criterion to prove that there was no limit cycle and global asymptotic stability near the positive equilibrium.Finally,we explained the Allee effect of the system by numerical simulation.
作者
石志高
SHI Zhi-gao(Teaching and Research Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou 350108, China)
出处
《中北大学学报（自然科学版）》
CAS
2020年第5期394-396,404,共4页
Journal of North University of China(Natural Science Edition)
基金
福建省中青年教师教育科研项目(JT180586)。
关键词
ALLEE效应
偏害系统
全局稳定
数值仿真
Allee effect
amensalism system
global stability
numerical simulation
