具有恒定收获率的Holling-Ⅱ型捕食者-食饵模型的平衡点及稳定性分析  

The equilibria and stabilities analysis of a predator-prey model about Holling-Type Ⅱ With constant harvesting rate

作　　者：傅仙发[1] 

机构地区：[1]湄洲湾职业技术学院,福建莆田351254

出　　处：《齐齐哈尔大学学报（自然科学版）》2017年第1期85-88,共4页Journal of Qiqihar University(Natural Science Edition)

摘　　要：通过对捕食者—食饵模型引入收获率参数,导出了食饵带收获项情形的Holling-Ⅱ型生物模型。对该模型进行平衡点及稳定性分析,揭示了收获率参数对于阻止种群灭绝和维护种群稳定具有重要作用,为种群生态学提供了理论支持。In this paper, by introducing harvesting rate parameters, we derive out the Holling-II type predator-prey model with predator and prey harvest, respectively. We study the systems＇ Equilibria and their stabilities, and reveal the significance of harvesting rate parameters in preventing population extinction and maintaining population stability. Thus the results provide theoretical supports for population ecology.

关 键 词：收获率 捕食者-食饵模型 平衡点 系统 

分 类 号：O29[理学—应用数学]