摘要
研究了一类具Beddington-DeAngelis(B-D)反应函数非自治的食物链模型.以确定时变环境的参数b为分歧参数.用单特征值分歧理论得到了周期解存在的条件,并运用Crandall-Rabinowitz定理证明了单种群分歧解的稳定性.
A nonautonomous food chain model with B-D response is discussed.By using the bifurcation theory from simple eigenvalues and bifurcation parameter b-the time varying environment,the existence conditions of periodic solutions are obtained.In addition,the stability of bifurcation solutions for one species model are proved by the Crandall-Rabinowitz stability therems.
出处
《纺织高校基础科学学报》
CAS
2010年第3期263-267,共5页
Basic Sciences Journal of Textile Universities
基金
陕西省教育厅基金资助项目(10571115)
渭南师范学院基金资助项目(10YKF016)
陕西省重点学科扶持项目
关键词
时变环境
特征值
分歧
稳定性
time varying environment
eigenvalue
bifurcation
stability
