标题： 具有时变SIRD系统的非线性交叉扩散流行病：多尺度推导与计算分析 显示英文标题

标题： A nonlinear cross-diffusion epidemic with time-dependent SIRD system: Multiscale derivation and computational analysis

摘要： 一种具有时变的易感-感染-恢复-死亡系统的非线性交叉扩散流行病模型在本文中被提出。该系统通过多尺度方法从动力学理论模型导出，导致了一个耦合微观和宏观方程的等效系统。随后，设计并验证了用于开发渐近保持方案特性的数值研究。最后，使用有限体积法在二维空间中讨论了所提出系统的数值计算结果。 显示英文摘要

摘要： A nonlinear cross-diffusion epidemic with a time-dependent Susceptible-Infected-Recovered-Died system is proposed in this paper. This system is derived from kinetic theory model by multiscale approach, which leads to an equivalent system coupled the microscopic and macroscopic equations. Subsequently, numerical investigations to design asymptotic preserving scheme property is developed and validated by various numerical tests. Finally, the numerical computational results of the proposed system are discussed in two dimensional space using the finite volume method.