摘要
研究一类具Holling Ⅳ类功能反应且食饵具有避难所的捕食食饵系统.通过定义Dulac函数,给出了系统正平衡点全局渐进稳定的充分条件.通过构造Bendixson环域,给出了极限环存在的充分条件.
A predator-prey model with Holling Ⅳ functional response incorporating a constant prey refuge is investigated.Depending on a constant prey refuge,for the model,the necessary and sufficient condition of the global stability properties of the equilibria and the existence of limit cycles are given by defining a Dulac function and constructing a Bendixson ring.
出处
《西安工程大学学报》
CAS
2012年第6期807-810,共4页
Journal of Xi’an Polytechnic University
基金
陕西省教育厅自然科学基金资助项目(11JK0502)
