Effects of stochastic perturbation and vaccinated age on a vector-borne epidemic model with saturation incidence rate

作者：

Highlights：

• A vector-borne disease model with stochastic perturbation and age-structure vaccination is proposed.

• The stochastic disease-free dynamics of this model are discussed.

• Sufficient criteria to assure the existence and uniqueness of ergodic stationary distribution is provided.

• Numerical simulations and discussions are carried out to illustrate the main results.

摘要

•A vector-borne disease model with stochastic perturbation and age-structure vaccination is proposed.•The stochastic disease-free dynamics of this model are discussed.•Sufficient criteria to assure the existence and uniqueness of ergodic stationary distribution is provided.•Numerical simulations and discussions are carried out to illustrate the main results.

论文关键词：Vector-borne infectious epidemic,Stochastic perturbation,Age-structure,Extinction,Stationary distribution

论文评审过程：Received 10 February 2020, Revised 21 October 2020, Accepted 8 November 2020, Available online 28 November 2020, Version of Record 19 December 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125798