佳木斯大学学报：自然科学版
佳木斯大學學報：自然科學版
가목사대학학보：자연과학판
Journal of Jiamusi University(Natural Science Edition)
2012年
2期
285-287,290
,共4页
毒素作用%捕食-食饵系统%全局吸引%持久性
毒素作用%捕食-食餌繫統%全跼吸引%持久性
독소작용%포식-식이계통%전국흡인%지구성
predator-prey model%toxicity%global attractivity%permanence
研究一类具有离散时间、外界捕获、毒素作用的捕食-食饵系统,通过运用比较引理和构造恰当的Lyapunov函数,证明了系统的持久性和全局吸引性,最后,我们给出了捕食者、食饵种群绝灭的充分条件.
研究一類具有離散時間、外界捕穫、毒素作用的捕食-食餌繫統,通過運用比較引理和構造恰噹的Lyapunov函數,證明瞭繫統的持久性和全跼吸引性,最後,我們給齣瞭捕食者、食餌種群絕滅的充分條件.
연구일류구유리산시간、외계포획、독소작용적포식-식이계통,통과운용비교인리화구조흡당적Lyapunov함수,증명료계통적지구성화전국흡인성,최후,아문급출료포식자、식이충군절멸적충분조건.
A discrete predator-prey model with harvesting and toxicity was studied.By using comparison theorem and constructing a suitable Lyapunov function,the permanence and global attractivity of the system were proved.Sufficient conditions for the extinction of the predator and prey were given.
