Threshold and stability results in a periodic model for malaria transmission with partial immunity in humans

作者：

Highlights：

• Mathematical model for malaria spread with partial immunity in periodic environment.

• Threshold dynamics determined by R0 obtained as a linear operator’s spectral radius.

• Numerical studies to compare the effect of transmission, birth and death rates.

摘要

•Mathematical model for malaria spread with partial immunity in periodic environment.•Threshold dynamics determined by R0 obtained as a linear operator’s spectral radius.•Numerical studies to compare the effect of transmission, birth and death rates.

论文关键词：Periodic epidemic model,Malaria transmission,Partial immunity,Basic reproduction number,Global stability,Uniform persistence

论文评审过程：Received 18 April 2020, Revised 22 September 2020, Accepted 27 September 2020, Available online 9 October 2020, Version of Record 9 October 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125711