摘要
研究了一类具有HollingⅢ型功能性反应和有毒物影响的食饵-捕食者两种群模型.利用微分方程定性与稳定性理论,讨论了该系统的平衡点的性态,系统无环的充分条件及正平衡点外围存在唯一稳定极限环的条件.
A class of two species model of predator-prey with Holling Ⅲ type functional response and toxicants effect is studied.The stability of equilibrium,the sufficient conditions of nonexistence and conditions of the existence and uniqueness of limit cycle around the positive equilibrium of the system are discussed by using differential equation qualitative and stability theory.
出处
《北华大学学报（自然科学版）》
CAS
2012年第4期373-380,共8页
Journal of Beihua University（Natural Science）
基金
吉林省教育厅科研基金项目(2010-132)
关键词
捕食者-食饵模型
平衡点
稳定性
极限环
predator-prey model
equilibrium points
stability
limit cycle
