Transmission dynamics of multi-strain dengue virus with cross-immunity

作者：

Highlights：

• We developed a multi-strain dengue virus model with cross-immunity.

• We proved the stability of disease-free equilibrium and two boundary equilibria.

• We proved the existence and uniqueness of interior equilibrium.

• We found that the model undergoes backward bifurcation.

• We optimized the mitigation strategies, taking into account corresponding costs.

摘要

•We developed a multi-strain dengue virus model with cross-immunity.•We proved the stability of disease-free equilibrium and two boundary equilibria.•We proved the existence and uniqueness of interior equilibrium.•We found that the model undergoes backward bifurcation.•We optimized the mitigation strategies, taking into account corresponding costs.

论文关键词：Dengue virus,Cross-immunity,Equilibrium stability,Backward bifurcation,Sensitivity analysis,Optimal control

论文评审过程：Received 6 May 2019, Revised 5 September 2019, Accepted 11 October 2020, Available online 28 October 2020, Version of Record 28 October 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125742