2种群均有收获率的Holling-Ⅲ类功能性反应捕食系统的定性分析  

Qualitative analysis of a prey-predator model with harvesting rates for preys and predators under Holling-Ⅲ functional response

作　　者：田巍[1] 张敬[1] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006

出　　处：《高师理科学刊》2010年第5期12-15,共4页Journal of Science of Teachers＇College and University

基　　金：黑龙江省教育厅科学技术研究资助项目(11531426)

摘　　要：研究了一类食饵种群与捕食者种群同时具有收获率的Holling-Ⅲ类功能性反应捕食系统.讨论了系统的平衡点,分析了中心焦点及稳定性,给出了极限环不存在的条件.A prey-predator model with harvesting rates for preys and predators underHolling-Ⅲ functional response was studied.Discussed the model’s equilibrium points,analyzed the order and stability of the center focus,and then obtained the conditions for the nonexistence of limit cycle.

关 键 词：收获率 平衡点 细焦点 极限环 

分 类 号：O175.13[理学—数学]