中文摘要：

研究一个捕食者具有年龄阶段结构的流行病-种群混合动力系统.得到系统的平衡点的存在性,局部稳定性,Hopf分支及其分支出的极限环的轨道稳定性,进一步地,考虑脉冲影响下系统的灭绝性和持久性.最后,用数值模拟说明所得到的结果.

英文摘要：

In this paper, we focus on an epidemic-species hybrid dynamical system with age stage structure in the predator. Mathematical analyses are given for the system with regard to the existence of equilibria, local stability, Hopf bifurcation and the orbital stability of the Hopf bifurcating limit cycle. We further consider the extinction and permanence of the system with impulsive effect. At the same time, numerical simulations also show the overcomes obtained.