一类具有脉冲且食饵具阶段结构的生态传染病模型分析

Analysis of an Ecological Epidemic Model with Impulsive Effect and Stage-structure in Prey

建立了一类食饵具有阶段结构且捕食者染病的生态传染病模型,在食饵上引入了脉冲收获和脉冲投放,对捕食者考虑了脉冲收获和脉冲生育,分析了系统无病周期解的存在性,利用时滞脉冲微分方程的相关理论,得到了无病周期解全局稳定以及系统能够持久存在的充分条件.

This paper introduces that the construction of a delayed ecological epidemic model with stage structure in prey and disease in predator is investigated, in which impulsive harvesting and impulsive input for the younger prey are imported. Also impulsive harvesting and impulsive birth for the healthy predator is considered and the existence of infection-free for the system is analyzed. By means of the relative theories on delay functional and impulsive differential equation, the sufficient conditions of the overall stability of the periodic solution of disease-free equilibrium and the permanence of the system are obtained.