摘要
讨论了一类具有两个缀块的非自治系统的生态模型．模型中有两个竞争种群，其中第一竞争种群能在缀块Ⅰ和缀块Ⅱ间来回迁移，而第二竞争种群仅限制在缀块Ⅰ中．利用常微分方程的定性稳定性方法证明了该模型在一定条件下是持续生存的．如果系统是一个周期系统，得到了合适条件下系统存在一个严格正的全局渐近稳定的周期解．
This paper considers a kind of nonautonomous ecologic system with two patches.There are two competing species in the system, the first competing species can diffuse between patchⅠ and patch Ⅱ, and the second competing species is confined to patch I. Using ordinarydifferential equation qualitative and stability method, we prove that the system can be persistenceunder some conditions and that if the system is a Periodic system, then it has a strictly posihveorbit, which is globally asymptotically stable under the appropriate conditions.
出处
《纺织高校基础科学学报》
CAS
1996年第4期341-344,353,共5页
Basic Sciences Journal of Textile Universities
关键词
缀块
生态系统
持续生存
全局渐近稳定
invariant set, ultimately bounded region, persistence, periodic solution, globallyasymptotic stability
