考虑病毒DNA核衣壳和细胞间传播的一般HBV扩散模型

数学物理学报 ›› 2023, Vol. 43 ›› Issue (2): 604-624.

考虑病毒DNA核衣壳和细胞间传播的一般HBV扩散模型

刘利利¹,王洪刚¹,李雅芝^2,^*()

¹山西大学复杂系统研究所太原 030006
²黔南民族师范学院数学与统计学院贵州都匀 558000

收稿日期:2022-01-29 修回日期:2022-10-17 出版日期:2023-04-26 发布日期:2023-04-17
通讯作者: 李雅芝，E-mail：lyz900101@126.com
基金资助:
国家自然科学基金项目(12126349);国家自然科学基金项目(11901326);贵州省科学技术基金(黔科合基础-ZK[2021]一般002);山西省卫健委资助项目(2020XM18)

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

Liu Lili¹,Wang Honggang¹,Li Yazhi^2,^*()

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)

摘要/Abstract

摘要：

该文综合考虑了诱发HBV感染的两类途径、一般发生率函数和HBV病毒及其核衣壳的扩散效应, 建立了一般性的HBV 扩散模型. 证明了模型解的适定性, 两类平衡态的存在唯一性和模型的一致持久性, 然后通过构造Lyapunov 函数, 得出模型的阈值动力学行为. 最后结合数值模拟验证理论结果的同时, 揭示了扩散对各状态变量的影响, 结果显示: 扩散影响HBV感染, 且扩散系数越大, HBV感染的空间区域越大.

关键词: 一般的HBV扩散模型, 病毒DNA核衣壳, 细胞-细胞感染, 全局稳定性

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

中图分类号:

O175

刘利利, 王洪刚, 李雅芝. 考虑病毒DNA核衣壳和细胞间传播的一般HBV扩散模型[J]. 数学物理学报, 2023, 43(2): 604-624.

Liu Lili, Wang Honggang, Li Yazhi. A Generalized HBV Diffusive Model with DNA-Containing Capsids and Cell-Cell Infection[J]. Acta mathematica scientia,Series A, 2023, 43(2): 604-624.

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