The role of synaptic transmission in a HIV model with memory

作者：

Highlights：

• A fractional order model for HIV with two transmission modes and treatment is proposed.

• Global stability of the disease-free equilibrium is analyzed.

• Cell-to-cell transmission has a strong impact in the value of the reproduction number.

• Increasing drug efficacy decreases the infectiousness of the disease.

摘要

•A fractional order model for HIV with two transmission modes and treatment is proposed.•Global stability of the disease-free equilibrium is analyzed.•Cell-to-cell transmission has a strong impact in the value of the reproduction number.•Increasing drug efficacy decreases the infectiousness of the disease.

论文关键词：HIV,Fractional order model,Cell-to-cell transmission,Treatment,Drug-resistance

论文评审过程：Received 16 July 2015, Revised 13 July 2016, Accepted 18 July 2016, Available online 29 July 2016, Version of Record 29 July 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2016.07.031