大学数学
大學數學
대학수학
COLLEGE MATHEMATICS
2012年
1期
50-57
,共8页
阶段结构%捕食-食饵系统%时滞%全局吸引%持久性
階段結構%捕食-食餌繫統%時滯%全跼吸引%持久性
계단결구%포식-식이계통%시체%전국흡인%지구성
stage structure%predator-prey system%delay%permanence
研究一类具有时滞和阶段结构的捕食系统.利用微分方程的比较原理和通过构造适当的Lyaponov泛函,得到保证此系统持久性和全局吸引性的充分条件.最后举例说明结论的可行性并且讨论了所得结果的生态意义.
研究一類具有時滯和階段結構的捕食繫統.利用微分方程的比較原理和通過構造適噹的Lyaponov汎函,得到保證此繫統持久性和全跼吸引性的充分條件.最後舉例說明結論的可行性併且討論瞭所得結果的生態意義.
연구일류구유시체화계단결구적포식계통.이용미분방정적비교원리화통과구조괄당적Lyaponov범함,득도보증차계통지구성화전국흡인성적충분조건.최후거례설명결론적가행성병차토론료소득결과적생태의의.
A predator-prey system with stage structure and time delays is studied in this paper. Sufficient conditions which guarantee the uniform persistence and global attractivity of the model are obtained by using the standard comparison theorem and constructing a suitable Lyaponov functional. At theend of the paper, example show the feasibility of the main results and some biological enplanation of the main results are presented.
