A spatial epidemic model with a moving boundary
Qiao Zhuang, Jin Wang
Abstract
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.
Topics & Concepts
OdeDomain (mathematical analysis)WavefrontEpidemic modelBoundary (topology)Nonlinear systemRange (aeronautics)Applied mathematicsMathematicsComputer scienceMathematical analysisPhysicsAerospace engineeringEngineeringOpticsDemographyQuantum mechanicsSociologyPopulationCOVID-19 epidemiological studiesMathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic Dynamics