摘要
研究具有Ｈｏｌｌｉｎｇ第Ⅱ类功能性反应的捕食者种群和食饵种群都有密度制约的系统证明了（１）当１／（１－α）＜ａ１／２ａ２，θ（１－α）＜ａ１＜２ａ２／（１－α）＋θ（１－α）， 且 ａ１／ ２ａ２＜ｘ＜ｘ时系统（＊）在正平衡点Ｒ２（ｘ，ｙ）外围存在一个稳定的极限环；（２）当０＜１／（１－α）＜ａ１／２ａ２，且ｘ＞ｘ时，系统（＊）的唯一正平衡点Ｒ２（ｘ，ｙ）在第一象限内是全局稳定的。
The author has considered the two species predator-prey systems with Holling's type Ⅱ functional response and all the density dependent on predators and preys The following results are proved: (1 ) When 1/ (1 - α) <a /2a2, θ (1 - α) <a1 (2a2,/ (1 - α) + θ × (1 - α) ) and a1/2a2<x <x, there exists a limit cycle around R2, (x, y. )for system (* ); (2) It is proved that there is the global stability around unique positive balance point R2, (x, y) for system (*), when 0 < 1/(1 - α) < a1,/2a2,and x > x, x ≥ 0, y ≥ 0.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1993年第6期628-632,共5页
Journal of Dalian University of Technology
基金
国家自然科学基金资助项目
关键词
功能性反应
捕食者
食饵
系统
limit cycles
stability/balance point
functional response
