讨论一类特殊的n种群Lotka—Volterra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.