Acta mathematica scientia,Series A ›› 2023, Vol. 43 ›› Issue (2): 604-624.

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A Generalized HBV Diffusive Model with DNA-Containing Capsids and Cell-Cell Infection

Liu Lili1,Wang Honggang1,Li Yazhi2,*()   

  1. 1Complex System Research Center, Shanxi University, Taiyuan 030006
    2School of Mathematics and Statistics, Qiannan Normal University for Nationalities, Guizhou Duyun 558000
  • Received:2022-01-29 Revised:2022-10-17 Online:2023-04-26 Published:2023-04-17
  • Supported by:
    NSFC(12126349);NSFC(11901326);Science and Technology Foundation of Guizhou Province, China(Qian Ke He Jichu-ZK[2021]002);National Health Commission Foundation of Shanxi Province(2020XM18)

Abstract:

This paper investigates a generalized HBV diffusive model, where two HBV infection ways, general incidence functions and DNA-containing capsids are considered. This paper gives the well-posedness of model and then obtains the threshold dynamical behaviors of the proposed model, including the unique existence of two equalibria, the uniformly persistence of the model and global stability by using Lyapunov functionals. The numerical simulations not only verify the theoretical results, but also explore the influence of diffusion on the state variables. The result shows that diffusion affects the HBV infection, and the bigger of diffusion is, the larger of HBV infection region will become.

Key words: Generalized HBV diffusive model, DNA-containing capsids, Cell-cell infection, Global stability

CLC Number: 

  • O175
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