具有性别偏食和Holling Ⅲ类功能反应的食饵捕食者模型  

Predator-prey system with sexual favoritism and Hollings type Ⅲ functional response

作　　者：孙凯玲[1] 王美娟[1] 朱春娟[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2009年第1期6-10,共5页Journal of University of Shanghai For Science and Technology

摘　　要：讨论了一类具有性别偏食现象的食饵捕食者模型,其具有HollingⅢ类功能反应函数.利用对不等式放缩得到了种群一致持续生存的条件.通过构造Liapunov函数证明了系统周期解的存在唯一性,讨论了周期解全局稳定性的充分条件.A predator-prey system with sexual favoritism and Hollings type Ⅲ functional response was analyzed, the conditions of permanence were obtained by constructing inequality. The existence and uniqueness of the periodic solution were approved by Liapunov method. The sufficient condition of the global stability of periodic solution was discussed.

关 键 词：性别偏食 HollingⅢ类功能反应 持续生存 周期解 全局渐近稳定 

分 类 号：O175.13[理学—数学]