一类带有阶段结构和时滞的Beddington-DeAngelis型食饵模型周期解的存在性  

Existence of periodic solution in a beddington-deAngelis predator-prey system with stage-structure and time delay

作　　者：李华刚[1] 钱靖[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《湖北师范学院学报（自然科学版）》2011年第3期81-84,共4页Journal of Hubei Normal University(Natural Science)

摘　　要：主要研究一类对捕食者带有阶段结构和时滞的Beddington-DeAngelis型捕食者-食饵模型,证法上弱化了参考文献的条件.以时滞τ为分支参数,通过对它非负平衡点解的稳定性的研究,讨论了系统Hopf分支的产生,得到存在正周期解的充分性条件。In this paper,we consider a Beddington-DeAngelis predator-prey model with stage structure for predator and time delay.we weaken the conditions of references in the process of demonstration.with as bifurcation parameter,the stability of solution of non-negative equilibriums is investigated,and the conditions of system undergoing Hopf bifurcation are discussed,the sufficient conditions of the existence of positive periodic solution are obtained.

关 键 词：阶段结构 BEDDINGTON-DEANGELIS 稳定性 周期解 HOPF分支 

分 类 号：O175.12[理学—数学]