Considering the variability of vaccine efficacy and infection conversion rate, a mathematical model for vector-borne disease transmission by incorporating age of vaccination and infection is proposed, where, the latency of disease in the host population, general nonlinear incidence rate, and vaccination effectiveness are also formulated to analyze their effects for the spread of the vector-borne. The existence and local stability of steady states, the uniform persistence and asymptotic smoothness of this model are studied. Moreover, the exact expression of the basic reproduction number is derived. By applying the fluctuation lemma and the suitable Lyapunov functional, the global dynamics of steady states are investigated. That is, if the basic reproduction number is less than 1, the disease-free steady state is globally asymptomatically stable, and the disease dies out; if the basic reproduction number is greater than 1, the endemic steady state is globally asymptomatically stable, and the disease becomes endemic. Finally, numerical simulations are performed to explain the main theoretical results.

中文翻译：

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具有取决于年龄的疫苗接种，潜伏期和一般发生率的媒介传染病模型的全局动力学

考虑到疫苗效力和感染转化率的可变性，提出了一种结合疫苗接种和感染年龄的媒介传播疾病传播的数学模型，其中，宿主人群中的疾病潜伏期，总体非线性发生率和疫苗接种有效性为还制定了分析其对传播媒介传播的影响。研究了该模型的稳态的存在性和局部稳定性，该模型的一致持续性和渐近光滑性。而且，得出基本再现数的精确表达。通过应用波动引理和合适的Lyapunov泛函，研究了稳态的全局动力学。也就是说，如果基本繁殖数小于1，则无病稳定状态在总体上无症状，疾病消灭了；如果基本繁殖数大于1，则地方性稳定状态总体上无症状，该病成为地方性疾病。最后，进行数值模拟以解释主要的理论结果。