具有偏害关系的Gilpin-Ayala系统的稳定性  

Stability of an amensalism Gilpin-Ayala system

作　　者：王丹红[1] 

机构地区：[1]闽江学院数学系,福建福州350108

出　　处：《南阳师范学院学报》2016年第3期6-8,共3页Journal of Nanyang Normal University

基　　金：福建省自然科学基金资助项目(2012J05007)

摘　　要：提出一类具有偏害关系的Gilpin-Ayala系统,讨论了系统唯一正平衡点的存在情况,并进一步讨论了系统的稳定性,得到保证系统全局稳定的充分条件.In this paper,an amensalism Gilpin-Ayala system is proposed and the existence of the sole equilibrium is described. Then,the stability of the system is studied and sufficient conditions which guarantees the global stability of the species are established.

关 键 词：偏害关系 Gilpin-Ayala系统 平衡点 稳定性 

分 类 号：O175.1[理学—数学]