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中文摘要：
建立和研究了具有接种疫苗年龄结构的SIRS流行病模型.运用微分方程和积分方程理论,得到一个与接种疫苗有关的再生数的表达式.证明了当R（0）〈1时,无病平衡态是全局吸引的.当R（ψ）〈1时,无病平衡态是局部渐近稳定的;当R（ψ）〉1时,无病平衡态是不稳定的,此时存在一个地方病平衡态.最后给出地方病平衡态局部渐近稳定的条件.
英文摘要：
An SIRS epidemic model with an age-dependent vaccination is considered. By using the theory of differential or integral equation, an explicit formula for the vaccine-dependent reproductive number R（ψ） is first obtained. Next,it is showed that the disease-free steady state is locally asymptotically stable if R（ψ） is less than one and unstable if R（ψ） is larger than one. If R（0） 〈 1, then the disease-free equilibrium is global attractor. Moreover, there exists an endemic steady state in this model which is unstable under the condition R（ψ） 〉 1. Finally, the condition for the local stability of the endemic equilibrium is given.
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Positive periodic solutions for a nonautonomous delayed predator-prey system with diffusion and impu
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