HBV感染动力学模型行波解的存在性：一种新方法
On existence of traveling wave of an HBV infection dynamics model: A novel approach
AI总结：
本文提出含空间依赖的HBV感染模型，用Gersgorin定理证明行波解存在，并分析基本再生数弹性及扩散对感染的影响。
摘要：
本文提出了一个包含病毒空间依赖性的乙型肝炎病毒感染动力学模型。通过应用著名的Gersgorin定理，建立了该模型行波解的存在性。证明行波解存在所采用的方法是新颖的，可能是这种特定方法的首次尝试。此外，还展示了基本再生数对某些模型参数的弹性。进一步研究了病毒空间扩散对感染的影响，并注意到由于扩散，病毒在肝脏中迅速传播。
英文摘要：
In this work, a hepatitis B virus infection dynamics model is proposed including the spatial dependence of viruses. The existence of traveling waves for the proposed model is established through the application of the celebrated Gersgorin theorem. The procedure followed to establish the existence of a traveling wave solution is innovative and probably the first attempt of this particular approach. The elasticity of basic reproduction number with respect to some model parameters are also shown. Furthermore, the effects of spatial diffusivity of the viruses on infection are studied, and it is noticed that due to the diffusion, viruses spread rapidly throughout the liver.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
