In this paper, we prove the existence of weak solutions for a reaction-di usion system with general anisotropic di usivities and transport e ects, supplemented with either mixed boundary conditions or no-ux boundary conditions. Initial conditions and external forcing terms are in L 1 ; this does not
✦ LIBER ✦
A reaction-diffusion system with cross-diffusion modeling the spread of an epidemic disease
✍ Scribed by Mostafa Bendahmane; Michel Langlais
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 283 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1424-3199
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## Abstract A two‐component reaction–diffusion system modeling a class of spatially structured epidemic systems is considered. The system describes the spatial spread of infectious diseases mediated by environmental pollution. A relevant problem, related to the possible eradication of the epidemic,
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