A spatial epidemic model with a moving boundary

Infectious Disease Modelling

Jin Wang¹  Qiao Zhuang² 

[1] Corresponding author.;Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, 37403, USA;

关键词: Epidemic modeling;    Equilibrium analysis;    Spatial dynamics;   

DOI  :  

来源: DOAJ

【 摘 要 】

We present a new mathematical model to investigate the spatial spread of an infectious disease. The model consists of a nonlinear PDE system with an unknown velocity field, defined on an epidemic domain that changes with time. The moving boundary of the domain represents the wavefront of the epidemic. We conduct an equilibrium analysis to the simplified models represented by ODE systems. We also perform a numerical study on the original PDE system for a range of scenarios, including one under a realistic epidemic setting.

【 授权许可】

Unknown