【摘要】 本文根据龟纹瓢虫对麦蚜若蚜与成蚜的捕食具有不同的Holling Ⅱ型功能反应,建立了具有偏嗜行为的龟纹瓢虫——麦蚜系统,研究了该系统的全局稳定性和极限环的存在性,并应用Lienard方程的技巧,证明了该系统存在唯一的极限环.更多还原

【Abstract】 The model of the predator-pest system with partiality food behaviour is built in this paper according to the predatory phenomenon of prodylaea japonica to Rhopalosiphum padi, that is, it has diffeent Rolling’s type II functional response that one prey the nymph and imago of Phopalosiphum padi.The global stability and existence of limit cycles are sdudied and the uniqueness of limit cycles is proved via standard technique of Lienard’ s equation for this system.更多还原