摘要
讨论一类特殊的n种群LotkaVolterra竞争生态系统的周期解,应用拓扑度理论中的延拓定理和Lyapunov泛函方法,得到了这类系统周期解的存在性和全局渐近稳定性的充分判据.
Periodic solution for a special Lotka-Volterra competitive system is discussed. By using the coincidence theory and Lyapunov functional methods, sufficient conditions are obtained for the existence and global stability of a positive periodic solution of the system. The feasible character of the theories' conditions in the paper is shown by examples.
出处
《应用数学》
CSCD
北大核心
2006年第1期183-187,共5页
Mathematica Applicata
基金
中国博士后基金资助
湖北省教育厅重大项目(2004Z001)资助
湖北省教育厅创新团队基金资助
关键词
拓扑度
LYAPUNOV泛函
周期解
全局渐近稳定性
Coincidence degree
Lyapunov functional
Periodic solution
Global asymptotic stability