内蒙古大学艺术学院学报
內矇古大學藝術學院學報
내몽고대학예술학원학보
JOURNAL OF ART COLLEGE OF INNER MONGOLIA UNIVERSITY
2012年
4期
252-259
,共8页
曹学勤%刘媛媛%马文斌
曹學勤%劉媛媛%馬文斌
조학근%류원원%마문빈
脉冲效应%周期解%捕食-食饵系统
脈遲效應%週期解%捕食-食餌繫統
맥충효응%주기해%포식-식이계통
Lmpulsive effect%periodic solution%predator- prey system
基于害虫的化学控制和生物控制策略,本文主要利用脉冲微分方程的Floquet理论和比较原理,研究了一类具有两个功能反应的两食饵-捕食者系统在外在的脉冲扰动下的动力学性质,证明了系统的有界性,得到了当脉冲周期小于某个临界值时,系统存在1个全局渐进稳定的害虫灭绝周期解.
基于害蟲的化學控製和生物控製策略,本文主要利用脈遲微分方程的Floquet理論和比較原理,研究瞭一類具有兩箇功能反應的兩食餌-捕食者繫統在外在的脈遲擾動下的動力學性質,證明瞭繫統的有界性,得到瞭噹脈遲週期小于某箇臨界值時,繫統存在1箇全跼漸進穩定的害蟲滅絕週期解.
기우해충적화학공제화생물공제책략,본문주요이용맥충미분방정적Floquet이론화비교원리,연구료일류구유량개공능반응적량식이-포식자계통재외재적맥충우동하적동역학성질,증명료계통적유계성,득도료당맥충주기소우모개림계치시,계통존재1개전국점진은정적해충멸절주기해.
In this paper, a tow -prey one -predator model with tow type function response and impulsive effect concerning chemical control and biological control strategy of pest is proposed and analyzed. By using Floquet theory and Comparison theorem of impulsive differential equation, the boundedness of system is proved and we obtain that there exists a globally asymptotically stable periodic solution of pest - eradication when the impulsive period is less than some critical value.