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Mathematical Analysis and Pattern Formation for a Partial Immune System Modeling the Spread of an Epidemic Disease.
- Source :
-
Acta Applicandae Mathematicae . Jul2011, Vol. 115 Issue 1, p17-42. 26p. - Publication Year :
- 2011
-
Abstract
- Our motivation is a mathematical model describing the spatial propagation of an epidemic disease through a population. In this model, the pathogen diversity is structured into two clusters and then the population is divided into eight classes which permits to distinguish between the infected/uninfected population with respect to clusters. In this paper, we prove the weak and the global existence results of the solutions for the considered reaction-diffusion system with Neumann boundary. Next, mathematical Turing formulation and numerical simulations are introduced to show the pattern formation for such systems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 115
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 61464694
- Full Text :
- https://doi.org/10.1007/s10440-010-9569-3