纯粹数学与应用数学
純粹數學與應用數學
순수수학여응용수학
PURE AND APPLIED MATHEMATICS
2006年
1期
111-117
,共7页
捕食者-食饵系统%时滞%周期解%重合度
捕食者-食餌繫統%時滯%週期解%重閤度
포식자-식이계통%시체%주기해%중합도
predator-prey system%time delay%periodic solution%coincidence degree
考虑一类具有时滞的比率依赖型捕食者-食饵系统,利用重合度理论中的延拓定理,得到系统存在正周期解的充分条件.
攷慮一類具有時滯的比率依賴型捕食者-食餌繫統,利用重閤度理論中的延拓定理,得到繫統存在正週期解的充分條件.
고필일류구유시체적비솔의뢰형포식자-식이계통,이용중합도이론중적연탁정리,득도계통존재정주기해적충분조건.
A periodic ratio-dependent predator-prey system with time delays is investigated. By using a continuation theorem based on coincidence degree theory, the conditions for the existence of periodic solution of the system are obtained.