A time-delayed dengue virus transmission model has been developed, which takes into account vaccination failure and the presence of exposed mosquitoes. This model also incorporates the survival probability of infected individuals during the incubation period to provide a clearer understanding of how latency affects the control reproduction number Rc. Furthermore, by employing the Lyapunov functional approach, we establish the global asymptotic stability of equilibria in relation to Rc. The results indicate that the disease-free equilibrium T0 is globally asymptotically stable if and only if Rc≤1, whereas the endemic equilibrium T∗ is globally asymptotically stable if and only if Rc>1.

中文翻译：

---

包含疫苗接种失败和暴露蚊子的时间延迟登革热病毒感染模型的阈值动力学


已经开发了一种延时登革热病毒传播模型，该模型考虑了疫苗接种失败和暴露蚊子的存在。该模型还纳入了感染个体在潜伏期内的生存概率，以更清楚地了解潜伏期如何影响对照繁殖数 Rc。此外，通过采用 Lyapunov 泛函方法，我们建立了平衡相对于 Rc 的全局渐近稳定性。结果表明，当且仅当 Rc≤1 时，无病平衡 T0 在全局上渐近稳定，而地方性平衡 T∗当且仅当 Rc>1 时在全局上渐近稳定。