## Abstract This paper is concerned with some qualitative analysis for a coupled system of five reaction–diffusion equations which arises from a physiology model. The uniform boundedness of the time‐dependent solution is obtained under various boundary conditions. Sufficient conditions are also giv
Asymptotic behaviour of reaction-diffusion systems in population and epidemic models
✍ Scribed by V. Capasso; A. Liddo
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 499 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0303-6812
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✦ Synopsis
Cross diffusion has been widely considered in the mathematical modelling of spatially structured ecological and epidemic systems, either in the mechanical description of diffusion or in the stochastic point process description of interacting populations. In this paper mathematical results recently obtained by the authors about the asymptotic behaviour of reaction-diffusion systems with full matrices of diffusion are applied to classes of biological systems.
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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,