具有避难所和捕获的非线性模型稳定性分析  

Stability of a Nonlinear Competition Model Incorporating a Constant Proportion of Refuge for One Species and Harvesting

作　　者：龚晓杰[1] 陈凤德[1] 杨坤[1] 赵亮[1] 

机构地区：[1]福州大学,福建福州350116

出　　处：《龙岩学院学报》2014年第2期10-14,共5页Journal of Longyan University

基　　金：福建省自然科学基金(2011J01007)

摘　　要：提出一类具有避难所和捕获的非线性竞争模型,探讨了模型的局部渐近稳定性和全局稳定性。讨论了避难所对于种群稳定性的影响,以及非线性项系数对两种群平衡密度的作用。A nonlinear competition harvest model incorporating a constant proportion of refuge for one species is proposed and studied in this paper. Sufficient conditions which ensure the local asymptotical stability and global stability of the model are obtained. Then the influence of refuge for population stability and the impact of nonlinear coefficient on the final density are discussed.

关 键 词：竞争 避难所 捕获 局部渐进稳定 全局稳定 

分 类 号：O175.14[理学—数学]