北华大学学报：自然科学版
北華大學學報：自然科學版
북화대학학보：자연과학판
Journal of Beihua University(Natural Science)
2012年
1期
1-8
,共8页
Lotka．Voherra竞争系统%脉冲%正周期解
Lotka．Voherra競爭繫統%脈遲%正週期解
Lotka．Voherra경쟁계통%맥충%정주기해
Lotka-Volterra competitive system%impulse%positive periodic solution
研究了一类具有脉冲和时滞的非自治n种群Lotka．Volterra竞争系统，利用重合度理论中的延拓定理，获得了保证系统正周期解存在的充分条件，揭示了当非自治n种群的出生率与投放率足够大或者种群内部竞争率足够小时，系统将产生生物性周期振荡现象．
研究瞭一類具有脈遲和時滯的非自治n種群Lotka．Volterra競爭繫統，利用重閤度理論中的延拓定理，穫得瞭保證繫統正週期解存在的充分條件，揭示瞭噹非自治n種群的齣生率與投放率足夠大或者種群內部競爭率足夠小時，繫統將產生生物性週期振盪現象．
연구료일류구유맥충화시체적비자치n충군Lotka．Volterra경쟁계통，이용중합도이론중적연탁정리，획득료보증계통정주기해존재적충분조건，게시료당비자치n충군적출생솔여투방솔족구대혹자충군내부경쟁솔족구소시，계통장산생생물성주기진탕현상．
By using the continuation theorem of coincidence degree theory, we study the nonautonomous n-species Lotka-Voherra competitive system with impulse and time delay. A set of sufficient conditions for this system to have positive periodic solutions are established. When the birth rate and the invest rate of the nonautonomous n-species are enough large or the competition rate within species is enough small, the system will bring periodic oscillation phenomenon of biological nature.
