Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
Copyright policy )Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
Summary: The theory of the principal eigenvalue is developed for an elliptic eigenvalue problem associated with a linear parabolic cooperative system with some zero diffusion coefficients. Then the basic reproduction number and its computation formulae are established for reaction-diffusion epidemic models with compartmental structure. These theoretical results are applied to a spatial model of rabies to study the influence of spatial heterogeneity and population mobility on disease transmission.
- Southeast University China (People's Republic of)
Epidemiology, elliptic eigenvalue problem, spatial diffusion, compartmental models, threshold dynamics, Reaction-diffusion equations, influence of spatial heterogeneity, Spectral theory and eigenvalue problems for partial differential equations, Initial-boundary value problems for second-order parabolic systems, principal eigenvalues, parabolic cooperative system
Epidemiology, elliptic eigenvalue problem, spatial diffusion, compartmental models, threshold dynamics, Reaction-diffusion equations, influence of spatial heterogeneity, Spectral theory and eigenvalue problems for partial differential equations, Initial-boundary value problems for second-order parabolic systems, principal eigenvalues, parabolic cooperative system
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