Galerkin time discretization for transmission dynamics of HBV with non-linear saturated incidence rate

作者：

Highlights：

• The mathematical model of HBV is formulated by introducing a non-linear saturated incidence rate.

• The continuous Galerkin-Petrove (2) numerical method is used to find the solutions to the proposed model.

• Two variables on every step has been figured out by solving a square matrix.

• The comparative study with RK4 is being made in tables.

• The sets of graphs are asserted and problems’ physical behavior is stated in detail.

摘要

•The mathematical model of HBV is formulated by introducing a non-linear saturated incidence rate.•The continuous Galerkin-Petrove (2) numerical method is used to find the solutions to the proposed model.•Two variables on every step has been figured out by solving a square matrix.•The comparative study with RK4 is being made in tables.•The sets of graphs are asserted and problems’ physical behavior is stated in detail.

论文关键词：Hepatitis B virus HBV,Continuous Galerkin-Petrove (2) technique,Runge Kutta method of order (4),Acute hepatitis B (AHB),Chronic hepatitis B (CHB)

论文评审过程：Received 13 November 2020, Revised 24 June 2021, Accepted 26 June 2021, Available online 10 July 2021, Version of Record 10 July 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126481