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

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.