新疆大学学报(自然科学版)
新疆大學學報(自然科學版)
신강대학학보(자연과학판)
JOURNAL OF XINJIANG UNIVERSITY
2003年
1期
8-13,25
,共7页
扩散%持续生存%周期解%全局稳定
擴散%持續生存%週期解%全跼穩定
확산%지속생존%주기해%전국은정
Diffusion%Persistence%Periodic Solution%Global Stability
讨论了一类具有扩散率和Ⅲ类功能性反应的非自治捕食系统,证明了在适当条件下,系统是持久的,进一步如果系统是周期系统,则在一定条件下存在惟一全局稳定的周期解.
討論瞭一類具有擴散率和Ⅲ類功能性反應的非自治捕食繫統,證明瞭在適噹條件下,繫統是持久的,進一步如果繫統是週期繫統,則在一定條件下存在惟一全跼穩定的週期解.
토론료일류구유확산솔화Ⅲ류공능성반응적비자치포식계통,증명료재괄당조건하,계통시지구적,진일보여과계통시주기계통,칙재일정조건하존재유일전국은정적주기해.
In this paper, a nonautonomous predator-prey system with diffusion and type Ⅲ functional response are studied. It proves that under some appropriate conditions, the system is persistent. Furthermore, if the system is a periodic one, it can have a strictly positive periodic solution which is global stability under the appropriate conditions.
