考虑病毒DNA核衣壳和细胞间传播的一般HBV扩散模型  

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

作　　者：刘利利 王洪刚 李雅芝 Liu Lili;Wang Honggang;Li Yazhi(Complex System Research Center,Shanxi University,Taiyuan 030006;School of Mathematics and Statistics,Qiannan Normal University for Nationalities,Guizhou Duyun 558000)

机构地区：[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

出　　处：《数学物理学报（A辑）》2023年第2期604-624,共21页Acta Mathematica Scientia

基　　金：国家自然科学基金项目(12126349,11901326);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)。

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.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.

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 

分 类 号：O175[理学—数学]