摘要
通过对一类食饵种群具有常数投放率的Holling-IV类捕食系统的等倾线性态进行分析,给出了该系统平衡点存在的条件,并分析了平衡点的稳定性.运用Poincare-Bendixson环域定理和极限环唯一性定理得到了系统正平衡点周围存在唯一极限环的充分条件.
The conditions for the existence of the equilibrium point are discussed by using isoclines shape for a class of predator-prey system with constant rate stocking for prey under Holling-Ⅳ functional response.The stability of the equilibrium point are analysed.The sufficient conditions for the uniqueness of the limit cycle around the positive equilibrium point are obtained by using the Poincare-Bendixson theorem and the uniqueness theorem of the limit cycle.
作者
王清娟
WANG Qingjuan(Department of Basic Teaching and Research,Yango University,Fuzhou 350015,China)
出处
《延边大学学报（自然科学版）》
CAS
2018年第3期213-216,228,共5页
Journal of Yanbian University（Natural Science Edition）
基金
福建省教育厅中青年教师教育科研项目(JAT170781,JAT170771)
